References
- M. A. Ali, H. Kara, J. Tariboon, S. Asawasamrit, H. Budak and F. Hezenci, Some New Simpson’s-Formula-Type Inequalities for Twice-Differentiable Convex Functions via Generalized Fractional Operators. Symmetry, 13 (2021), no. 12, 2249.
- M. U. Awan, M. Z. Javed, M. Th. Rassias, M. A. Noor and K. I. Noor, Simpson type inequalities and applications. J. Anal. 29 (2021), no. 4, 1403–1419.
- N. Azzouza and B. Meftah, Some weighted integral inequalities for differentiable beta-convex functions. J. Interdiscip. Math. 24 (2021), no. 5, 1-22.
- H. Budak, F. Hezenci and H. Kara, On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integrals. Math. Methods Appl. Sci. 44 (2021), no. 17, 12522–12536.
- H. Budak, F. Hezenci and H. Kara, On generalized Ostrowski, Simpson and trapezoidal type inequalities for co-ordinated convex functions via generalized fractional integrals. Adv. Difference Equ. 2021, Paper no. 312, 32 pp.
- W. W. Breckner, Stetigkeitsaussagen für eine Klasse verallgemeinerter konvexer Funktionen in topologischen linearen Räumen. (German) Publ. Inst. Math. (Beograd) (N.S.) 23 (37) (1978), 13-20.
- T. Chiheb, N. Boumaza and B. Meftah, Some new Simpson-like type inequalities via preqausiinvexity. Transylv. J. Math. Mech.12 (2020), no.1, 1-10.
- F. Hezenci, H. Budak and H. Kara, New version of fractional Simpson type inequalities for twice differentiable functions. Adv. Difference Equ. 2021, Paper no. 460, 10 pp.
- İ. İşcan, Hermite-Hadamard and Simpson-like type inequalities for differentiable harmonically convex functions. J. Math. 2014, Art. ID 346305, 10 pp.
- A. Kashuri, B. Meftah and P.O. Mohammed, Some weighted Simpson type inequalities for differentiable s-convex functions and their applications. J. Frac. Calc. &Nonlinear Sys.1 (2021) no. 1, 75-94.
- A. A. Kilbas, H. M. Srivastava and J. J. Trujillo, Theory and applications of fractional differential equations. North-Holland Mathematics Studies, 204. Elsevier Science B.V., Amsterdam, 2006.
- U. S. Kirmaci, Refinements of Hermite-Hadamard type inequalities for s-convex functions with applications to special means. Univ. J. Math. App, 4 (2021), no.3, 114-124.
- W. Liu, Some Simpson type inequalities for h-convex and (α,m)-convex functions. J. Comput. Anal. Appl. 16 (2014), no. 5, 1005–1012.
- C. Y. Luo, T. S. Du, M. Kunt and Y. Zhang, Certain new bounds considering the weighted Simpson-like type inequality and applications. J. Inequal. Appl. 2018, Paper no. 332, 20 pp.
- J. E. Pečarić, F. Proschan and Y. L. Tong, Convex functions, partial orderings, and statistical applications. Mathematics in Science and Engineering, 187. Academic Press, Inc., Boston, MA, 1992.
- M. Z. Sarikaya, E. Set and E.Özdemir, On new inequalities of Simpson’s type for convex functions, RGMIA Research Report Collection, 13 (2010), no.2, article 2.
- Y. Shuang, Y. Wang and F. Qi, Integral inequalities of Simpson’s type for (α,m)-convex functions. J. Nonlinear Sci. Appl. 9 (2016), no. 12, 6364–6370.
- X. You, F. Hezenci, H. Budak and H. Kara, New Simpson type inequalities for twice differentiable functions via generalized fractional integrals. AIMS Math. 7 (2022), no. 3, 3959–3971.