Hermite-Hadamard inequalities for L(j)-convex functions and S(j)-convex functions

Ilknur Yesilce; Gabil Adilov

doi:10.26637/mjm303/014

Abstract

In this article, Hermite-Hadamard Inequalities for $\mathrm{L}(\mathrm{j})$-convex functions are analyzed. $\mathrm{S}(\mathrm{j})$-convex functions which is founded upon $\mathbb{B}^{-1}$-convexity concept, are defined and for this functions, Hermite-Hadamard Inequalities are investigated. On some special domains, concrete form of inequalities are denoted.

Keywords:

Hermite-Hadamard inequalities, L(j)-convex functions, S(j)-convex functions, abstract convexity

Mathematics Subject Classification:

26B25, 26D15, 26D07, 52A40, 52A20

Authors Imprint References Funding Related Articles Downloads

Ilknur Yesilce Department of Mathematics, Faculty of Science and Letters, Mersin University, Ciftlikkoy Campus, 33343, Mersin, Turkey. https://orcid.org/0000-0001-9841-0742
Gabil Adilov Department of Mathematics, Faculty of Education, Akdeniz University, Dumlupinar Boulevard 07058, Campus, Antalya, Turkey.

Pages: 346-359
Date Published: 01-07-2015
Vol. 3 No. 03 (2015): Malaya Journal of Matematik (MJM)

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