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Applications of Hölder-İşcan inequality for n-times differentiable (s,m)-convex functions

Authors :
Khuram Ali Khan
Shaista Ayaz
İmdat İşcan
Nehad Ali Shah
Wajaree Weera
Source :
AIMS Mathematics, Vol 8, Iss 1, Pp 1620-1635 (2023)
Publication Year :
2023
Publisher :
AIMS Press, 2023.

Abstract

In this work, Hölder-Isçan inequality is used for the class of n-times differentiable (s,m)-convex functions. The outcomes are new Hermite-Hadamard type inequalities and modified integrals are estimated by better bounds. Special cases are deduced as the existing results from literature. Furthermore, some applications to arithmetic, geometric and logarithmic means are also presented.

Details

Language :
English
ISSN :
24736988
Volume :
8
Issue :
1
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.7be138326f347499b687871423d06db
Document Type :
article
Full Text :
https://doi.org/10.3934/math.2023082?viewType=HTML