Generalization of quantum calculus and corresponding Hermite-Hadamard inequalities
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Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Basel Ag
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
The aim of this paper is first to introduce generalizations of quantum integrals and derivatives which are called (phi-h) integrals and (phi-h) derivatives, respectively. Then we investigate some implicit integral inequalities for (phi-h) integrals. Different classes of convex functions are used to prove these inequalities for symmetric functions. Under certain assumptions, Hermite-Hadamard-type inequalities for q-integrals are deduced. The results presented herein are applicable to convex, m-convex, and & hstrok;-convex functions defined on the non-negative part of the real line.
Description
Keywords
(phi-h)-derivative, Jensen inequality, m-convex function, Hermite Hadamard Inequality, Hermite Hadamard Inequality, (phi-h)-integralJensen inequality, & hstrok;-convexfunction
Journal or Series
Analysis and Mathematical Physics
WoS Q Value
N/A
Scopus Q Value
Q2
Volume
14
Issue
5
