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Some New Quantum Hermite-Hadamard Type Inequalities for s -Convex Functions.

Authors :
Gulshan, Ghazala
Budak, Hüseyin
Hussain, Rashida
Nonlaopon, Kamsing
Source :
Symmetry (20738994); May2022, Vol. 14 Issue 5, p870-870, 14p
Publication Year :
2022

Abstract

In this investigation, we first establish new quantum Hermite–Hadamard type integral inequalities for s-convex functions by utilizing newly defined T q -integrals. Then, by using obtained inequality, we establish a new Hermite–Hadamard inequality for coordinated s 1 , s 2 -convex functions. The results obtained in this paper provide significant extensions of other related results given in the literature. Finally, some examples are given to illustrate the result obtained in this paper. These types of analytical inequalities, as well as solutions, apply to different areas where the concept of symmetry is important. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20738994
Volume :
14
Issue :
5
Database :
Complementary Index
Journal :
Symmetry (20738994)
Publication Type :
Academic Journal
Accession number :
157238702
Full Text :
https://doi.org/10.3390/sym14050870