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        <title>General Mathematics Feed</title>
        <link>https://reference-global.com/journal/GM</link>
        <description>Reference Global RSS Feed for General Mathematics</description>
        <lastBuildDate>Fri, 23 Oct 2026 01:42:08 GMT</lastBuildDate>
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            <title>General Mathematics Feed</title>
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            <link>https://reference-global.com/journal/GM</link>
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        <copyright>All rights reserved 2026, Lucian Blaga University of Sibiu</copyright>
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        <item>
            <title><![CDATA[Recent Advances in Coupled Oscillator Synchronization: Theory, Security, and Robustness]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2025-0006</link>
            <guid isPermaLink="false">/article/10.2478/gm-2025-0006</guid>
            <pubDate>Wed, 08 Apr 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[Synchronization in coupled oscillator networks has long been a central theme in nonlinear dynamics, with applications spanning physics, biology, and engineering. While the Kuramoto paradigm and pulse-coupled oscillator models established foundational insights, recent years (2023–2025) have witnessed a resurgence of interest, driven by new mathematical frameworks, security-aware synchronization, and experimental realizations. This review highlights five recent contributions that push the field forward: (i) extreme synchronization transitions, (ii) secure pulse-coupled oscillator synchronization, (iii) optimal synchronization rules, (iv) adversarial control of oscillator networks, and (v) noise-enhanced stability of synchronized states. We summarize their main findings, critically compare methods, and outline open problems for future research.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Strong b-Metric Spaces and Common Fixed Points]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2025-0005</link>
            <guid isPermaLink="false">/article/10.2478/gm-2025-0005</guid>
            <pubDate>Wed, 08 Apr 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[This contribution’s aim is to find unique common fixed points using our concept of occasionally weakly biased mappings of type (𝔸), in complete strong b-metric spaces, and by minimal conditions. To convince the readers of the validity and pertinently of our results, we provided for each theorem its suitable example. Our theorems improve some existing results in metric as well as strong b-metric spaces.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Some Geometric Properties of Subclasses of p-valent Functions with negative coefficients defined by Opoola Differential Operator]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2025-0003</link>
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            <pubDate>Wed, 08 Apr 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[In this work, the geometric properties of new subclasses Amg(p, t, b, α) and Mmg(p, t, b, α; Λ) were studied. In particular the characterisation property and coefficient bound for functions in Amg(p, t, b, α), distortion and growth property for functions in Mmg(p, t, b, α; Λ) and inclusion relations for functions in the two subclasses were established.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Combining chaotic dynamical systems using the fuzzy logic XOR operator]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2025-0004</link>
            <guid isPermaLink="false">/article/10.2478/gm-2025-0004</guid>
            <pubDate>Wed, 08 Apr 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[In this paper we explore whatever combining two chaotic dynamical systems using the fuzzy logic operator XOR can maintain or not the chaotic properties of the resulting dynamical system. This study is motivated by techniques used in applications to secure communications and cryptography.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Some New Classes of General Harmonic-like Nonlinear Equations]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2025-0002</link>
            <guid isPermaLink="false">/article/10.2478/gm-2025-0002</guid>
            <pubDate>Wed, 08 Apr 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[Some classes of general nonlinear equations, which can be viewed as a novel important special case of nonlinear equations, are introduced and investigated. Using various techniques and dynamical systems coupled with f inite difference approach, we suggest and analyzed a number of new iterative methods s for solving harmonic-like nonlinear equations. Convergence analysis of these methods is investigated under suitable conditions. One can obtain a number of new classes of general nonlinear equations by interchanging the role of operators. Various special cases are discussed as applications of the main results. Several open problems are suggested for future research.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Modified Szász-Mirakyan operators]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2025-0001</link>
            <guid isPermaLink="false">/article/10.2478/gm-2025-0001</guid>
            <pubDate>Wed, 08 Apr 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[For a modified sequence of Szász-Mirakyan operators we establish rates of convergence using the Ditzian– Totik modulus of continuity. Moreover, we characterize functions satisfying a Lipschitz type condition.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[On a transformation of a sequence of real numbers]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2024-0013</link>
            <guid isPermaLink="false">/article/10.2478/gm-2024-0013</guid>
            <pubDate>Thu, 15 May 2025 00:00:00 GMT</pubDate>
            <description><![CDATA[In this paper, we determine finite sections of a regular transformation, using random variables which follows the geometrical law, respectively Pascal′s law and the central limit theorem.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[More accurate estimates for the Wallis’ ratio]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2024-0010</link>
            <guid isPermaLink="false">/article/10.2478/gm-2024-0010</guid>
            <pubDate>Thu, 15 May 2025 00:00:00 GMT</pubDate>
            <description><![CDATA[The aim of this work is to give an improvement of Mahmoud’s inequality from [M. Mahmoud, A. Talat, H. Moustafa, R.P. Agarwal, Completely monotonic functions involving Bateman’s G-function, J. Comput. Anal. Appl., vol. 29, no. 5, 2021, 970-986] about some lower and upper bounds for Wallis’ ratio.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[A transforming property for a subclass of analytic functions obtained by using a Libera type integral operator]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2024-0011</link>
            <guid isPermaLink="false">/article/10.2478/gm-2024-0011</guid>
            <pubDate>Thu, 15 May 2025 00:00:00 GMT</pubDate>
            <description><![CDATA[In this note we give a transforming property, by using a Libera type integral operator, for a subclass of analytic functions related with the n-uniformly starlike functions of order γ and type α.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Generalized Kantorovich operators]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2024-0014</link>
            <guid isPermaLink="false">/article/10.2478/gm-2024-0014</guid>
            <pubDate>Thu, 15 May 2025 00:00:00 GMT</pubDate>
            <description><![CDATA[In this paper we will propose a class of generalized Kantorovich type operators constructed using a general differential operator with non-constant coefficients 



Dlg(x)=∑i=0lai(x)g(i)(x)
{D^l}g\left( x \right) = \sum\nolimits_{i = 0}^l {{a_i}} \left( x \right){g^{\left( i \right)}}\left( x \right)


 and its corresponding antiderivative operator Il with respect to the composition Dl ◦ Il = Id. The operators studied are of the type Kn = Dl ◦ Ln ◦ Il where Ln are positive linear operators. For these operators we will prove an approximation result and a Voronovskaja type theorem. Also, a simultaneous approximation result will be provided for a particular case. The operators studied in this paper are linear but not positive operators.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Hermite-Hadamard Type Inequalities for Fractional Integrals by Means of Linear Functionals]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2024-0009</link>
            <guid isPermaLink="false">/article/10.2478/gm-2024-0009</guid>
            <pubDate>Thu, 15 May 2025 00:00:00 GMT</pubDate>
            <description><![CDATA[In this paper we present necessary and sufficient conditions for Hermite-Hadamard type inequalities to hold for linear and positive functionals. In particular, the results from [M. Z. Sarikaya, E. Set, H. Yaldiz, N. Başak, Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities, Mathematical and Computer Modelling, 57 (9–10), 2013, 2403-2407] are obtained.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Exponential Bernstein-Durrmeyer operators]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2024-0015</link>
            <guid isPermaLink="false">/article/10.2478/gm-2024-0015</guid>
            <pubDate>Thu, 15 May 2025 00:00:00 GMT</pubDate>
            <description><![CDATA[In this paper we introduce an exponential variant of Bernstein-Durrmeyer operators. Regarding this new operators we obtain some convergence resultş a Voronovskaya type theorem and some quantitative estimates using the first order modulus of continuity and the second order modulus of smoothness and then the relation between them and K-functionals. Also we study their simultaneous approximation properties.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Estimates of the Initial Taylor-Maclaurin Coefficients of a general subclass of Bi-Bazilevič type functions]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2024-0008</link>
            <guid isPermaLink="false">/article/10.2478/gm-2024-0008</guid>
            <pubDate>Thu, 15 May 2025 00:00:00 GMT</pubDate>
            <description><![CDATA[This paper introduces a novel subclass of generalized bi-Bazilevič functions, which unifies and bridges several well-known subclasses, such as bi-starlike and bi-convex functions. We derive bounds for the initial coefficients of the defined class through the generating function of Horadam polynomials and establish estimates for the famous Fekete–Szegö inequality. Additionally, we provide relevant connections to previously established results. By specializing the parameters in our main results, we obtain further interesting findings that extend the scope of this study.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[On the Logarithm of a Derivative Operator and Its Applications]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2024-0012</link>
            <guid isPermaLink="false">/article/10.2478/gm-2024-0012</guid>
            <pubDate>Thu, 15 May 2025 00:00:00 GMT</pubDate>
            <description><![CDATA[Although the logarithm of a derivative operator ln(Dx) arises naturally in certain contexts, its properties remain relatively unexplored. In this paper, we provide a systematic study of ln(Dx) and demonstrate how it acts on a range of functions, including trigonometric functions and Gaussians. We also derive a unifying formula for the application of ln(Dx) to power series whose coefficients come from an arbitrary analytic function. This leads to several new closed-form evaluations and illustrates the potential of ln(Dx) in operational calculus and the theory of special functions.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[The eigenstructure of Beta operators with Jacobi weights]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2024-0007</link>
            <guid isPermaLink="false">/article/10.2478/gm-2024-0007</guid>
            <pubDate>Mon, 27 Jan 2025 00:00:00 GMT</pubDate>
            <description><![CDATA[This paper investigates the eigenstructure of Beta-type operators belonging to a general family parameterized by α &gt; −1 and β &gt; −1. Explicit expressions for the eigenvalues are derived, and a recurrence relation for the coefficients of the corresponding eigenpolynomials is provided.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Third-order strong differential subordinations involving fractional integral of confluent (Kummer) and Gaussian hypergeometric functions]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2024-0003</link>
            <guid isPermaLink="false">/article/10.2478/gm-2024-0003</guid>
            <pubDate>Mon, 27 Jan 2025 00:00:00 GMT</pubDate>
            <description><![CDATA[For the study presented in this paper, the concepts specific to strong differential subordination theory, introduced for the second-order differential subordination case, are extended for the third-order differential subordination case. The general results presented in the first theorem proved in this investigation are applied considering the prolific operators recently introduced as the fractional integral of confluent (Kummer) hypergeometric function and as the fractional integral of Gaussian hypergeometric function, respectively, adapted considering the extra parameter imposed by the strong differential subordination theory and new third-order differential subordinations are investigated. Simple examples are also constructed but it is hoped that the results given here would inspire future similar studies for applying the new third-order strong differential subordination results using other known operators adapted in order to fit this new context.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Evaluating Data Science Tools: A Comparative Analysis of Platforms]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2024-0006</link>
            <guid isPermaLink="false">/article/10.2478/gm-2024-0006</guid>
            <pubDate>Mon, 27 Jan 2025 00:00:00 GMT</pubDate>
            <description><![CDATA[This study targets organizations in the data science domain seeking optimal platforms for their operations. It employs experimental research using the comparison method and mathematical modeling integrated into the Global Utility Method and TOPSIS Method. The aim is to create hierarchies of three prominent data science platforms: IBM Watson Studio, SAS – Advanced Analytics Software and Google Cloud AI Platform. The analysis was conducted using Microsoft Excel. Various comparison criteria are meticulously applied to ensure mathematical correctness and comprehensiveness. The Data Science Platforms Conclusions, drawn from individual case studies, indicate that different methods yield similar results due to algorithmic variations and data sensitivity. Minor changes were observed in hierarchy positions, attributed to coefficient importance and method sensitivity. There is a necessity for multiple platforms to meet diverse organizational needs. Continuous development and innovation are crucial in this evolving field, where user preferences and technological advancements drive platform suitability.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[New properties of the Intermediate Point from Bonnet Theorem]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2024-0002</link>
            <guid isPermaLink="false">/article/10.2478/gm-2024-0002</guid>
            <pubDate>Mon, 27 Jan 2025 00:00:00 GMT</pubDate>
            <description><![CDATA[In this paper, the following result is presented: if f, g : [a, b] → ℝ are two continuous functions and f is monotone, then there exists a function ̄c : [a, b] → [a, b] continuous in a with the property:



∫axf(t)g(t)dt=f(a)∫ac¯(x)g(t)dt+f(x)∫c¯(x)xg(t)dt,
\int_a^x {f\left( t \right)g\left( t \right){\rm{d}}t = f\left( a \right)\int_a^{\bar c\left( x \right)} {g\left( t \right){\rm{d}}t + f\left( x \right)\int_{\bar c\left( x \right)}^x {g\left( t \right){\rm{d}}t,} } } 


for all x ∈ [a, b]. Then, under specified conditions, the function ̄c that is differentiable at point a is presented, and 


c¯′(a)
\bar c'\left( a \right)

 is also calculated.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Mixed harmonic directional variational inequalities]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2024-0005</link>
            <guid isPermaLink="false">/article/10.2478/gm-2024-0005</guid>
            <pubDate>Mon, 27 Jan 2025 00:00:00 GMT</pubDate>
            <description><![CDATA[In this paper, we introduce and investigate some new classes of mixed harmonic directional variational inequalities. Several important new problems are obtained as special cases. The auxiliary principle technique is applied to suggest and analyze some hybrid inertial iterative methods for solving the mixed harmonic directional variational inequality. The convergence analysis of these iterative methods is also considered under some mild conditions. Some special cases are also pointed out. Results proved in this paper can be viewed as a significant refinement and improvement of the known results.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Dynamics of a symmetrically decoupled three-dimensional point transformation]]></title>
            <link>https://reference-global.com/article/10.2478/gm-2024-0004</link>
            <guid isPermaLink="false">/article/10.2478/gm-2024-0004</guid>
            <pubDate>Mon, 27 Jan 2025 00:00:00 GMT</pubDate>
            <description><![CDATA[In this work, we give some results obtained on the dynamics of a symmetrically decoupled three-dimensional point transformation. We are interested, in particular, in the study of its parametric plane and in its phase space by highlighting the existence of chaotic attractors.]]></description>
            <category>ARTICLE</category>
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