Log m-Convex Functions

Teodoro Lara; Edgar Rosales

doi:10.2478/mjpaa-2019-0009

.blurhash-client-img { display: none !important; }

Log m-Convex Functions

Moroccan Journal of Pure and Applied Analysis

Volume 5 (2019): Issue 2 (December 2019)

By: Teodoro Lara and Edgar Rosales

Open Access

|Jan 2020

Abstract

In this research we lay the concept of log m-convex functions defined on real intervals containing the origin, some algebraic properties are exhibit, in the same token discrete Jensen type inequalities and integral inequalities are set and shown.

References

[1] S. S. Dragomir, New inequalities of Hermite-Hadamard type for log-convex functions, Khayyam J. Math., vol. 3 2 (2017) 98–115.10.15393/j3.art.2017.3790
Search in Google Scholar Back to article
[2] S. S. Dragomir and B. Mond, Integral inequalities of Hermite-Hadamard type for log-convex functions, Demonstratio Mathematica, vol. XXXI 2 (1998) 355–364.10.1515/dema-1998-0214
Search in Google Scholar Back to article
[3] H. Kavurmaci, M. Avci and M. E.Özdemir, New inequalities of Hermite-Hadamards type for convex functions with applications, J. of Ineq. and App., (2011) 3–16.10.1186/1029-242X-2011-86
Search in Google Scholar Back to article
[4] T. Lara, E. Rosales and J. Sánchez, New Properties of m-Convex Functions, International Journal of Mathematical Analysis, vol. 9 15 (2015) 735–742.10.12988/ijma.2015.412389
Search in Google Scholar Back to article
[5] T. Lara, N. Merentes, R. Quintero and E. Rosales, On strongly m-convex functions, Mathematica Aeterna, Vol. 5 3 (2015), 521-535.
Search in Google Scholar Back to article
[6] T. Lara, N. Merentes, R. Quintero and E. Rosales, On inequalities of Fejér and Hermite-Hadamard types for strongly m-convex functions, Mathematica Aeterna, vol. 5 5 (2015) 777–793.
Search in Google Scholar Back to article
[7] T. Lara, R. Quintero and E. Rosales, m-Convexity and Functional Equations, Moroccan J. of Pure and Appl. Anal. (MJPAA), DOI 10.1515/mjpaa-2017-0005, Volume 3(1), 2017, Pages 56-62 ISSN: 2351-8227.10.1515/mjpaa-2017-0005Volume3(1),2017Pages56-62ISSN:2351-8227
Open DOI Search in Google Scholar Back to article
[8] T. Lara, N. Merentes, R. Quintero and E. Rosales, On the characterization of Jensen m-convex polynomials, Moroccan J. of Pure and Appl. Anal. (MJPAA) Volume 3(2), 2017, Pages 140-148 ISSN: Online 2351-8227 - Print 2605-6364 DOI 10.1515/mjpaa-2017-0012.10.1515/mjpaa-2017-0012
Search in Google Scholar Back to article
[9] T. Lara, N. Merentes, Z. Páles, R. Quintero and E. Rosales, On m-Convexity on Real Linear Spaces, UPI Journal of Mathematics and Biostatistics 1(2), (2018), JMB8.
Search in Google Scholar Back to article
[10] J. Park, Some Hermite-Hadamard-like type inequalities for logarithmically convex functions, Int. Journal of Math. Analysis, vol. 7 45 (2013) 2217–2233.10.12988/ijma.2013.37176
Search in Google Scholar Back to article
[11] M. Z. Sarikaya, H. Yaldiz, On Hermite Hadamard-type inequalities for strongly log-convex functions, International Journal of Modern Mathematical Sciences, vol. 6 1 (2013) 1–8.
Search in Google Scholar Back to article
[12] M. Tunç Some integral inequalities for logarithmically convex functions, Journal of the Egyptian Mathematical Society. 22,(2014), 177-181.10.1016/j.joems.2013.07.004
Search in Google Scholar Back to article

Articles in this issue

DOI: https://doi.org/10.2478/mjpaa-2019-0009 | Journal eISSN: 2351-8227

Journal RSS Feed

Language: English

Page range: 117 - 124

Submitted on: Aug 19, 2019

Accepted on: Oct 16, 2019

Published on: Jan 24, 2020

Published by: Sciendo

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

log-convex function,

log m-convex function,

m-convex set,

multiplicatively m-convex function,

Jensen type inequality

Related subjects:

Mathematics,

Analysis,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics

© 2020 Teodoro Lara, Edgar Rosales, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 5 (2019): Issue 2 (December 2019)