On quantum Hermite-Jensen-mercer inequalities
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Date
2023
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Univ Miskolc Inst Math
Access Rights
info:eu-repo/semantics/openAccess
Abstract
A. M. Mercer prove a new version of well-known Jensen inequality which is called Jensen-Mercer inequality [16]. By using Jensen-Mercer inequality, Kian and Moslehian establish a new variant of Hermite-Hadamard inequality which is called Hermite-Jensen-Mercer inequality [15]. In this paper, we extend the Hermite-Jensen-Mercer inequality for quantum integrals by utilizing Jensen-Mercer inequality. Then we investigate the connections between our results and those in earlier works. Moreover we give some examples to illustrate the main results in this paper. This is the first paper focusing on Hermite-Jensen-Mercer inequalities for quantum integrals.
Description
Keywords
Quantum integrals, Jensen-Mercer inequalities, Hermite-Hadamard inequalities
Journal or Series
Miskolc Mathematical Notes
WoS Q Value
Q2
Scopus Q Value
Q3
Volume
24
Issue
3
