A new class of generalized convex functions and integral inequalities

Mohamed Jleli; Donal O’Regan; Bessem Samet

doi:10.1007/978-981-13-3013-1_4

A new class of generalized convex functions and integral inequalities

Mohamed Jleli, Donal O’Regan, Bessem Samet

Mathematics

College of Sciences

Research output: Chapter in Book or Conference Publication/Proceeding › Chapter › peer-review

Abstract

In this chapter, we introduce the class of $$\eta _\varphi $$ -convex functions which is larger than the class of $$\eta $$ -convex functions introduced by Gordji et al. (Preprint Rgmia Res Rep Coll 1–14, 2015 [1]). Some Fejér type integral inequalities are established for this new class of functions. As consequences, we deduce some Hermite–Hadamard type inequalities involving different kinds of fractional integrals.

Original language	English
Title of host publication	Trends in Mathematics
Publisher	Springer International Publishing
Pages	71-89
Number of pages	19
DOIs	https://doi.org/10.1007/978-981-13-3013-1_4
Publication status	Published - 2018

Publication series

Name	Trends in Mathematics
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

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10.1007/978-981-13-3013-1_4

Cite this

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A new class of generalized convex functions and integral inequalities

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