Back to Search Start Over

Some new (p, q)-Dragomir–Agarwal and Iyengar type integral inequalities and their applications

Authors :
Muhammad Uzair Awan
Sadia Talib
Artion Kashuri
Ibrahim Slimane
Kamsing Nonlaopon
Y. S. Hamed
Source :
AIMS Mathematics, Vol 7, Iss 4, Pp 5728-5751 (2022)
Publication Year :
2022
Publisher :
AIMS Press, 2022.

Abstract

The main objective of this paper is to derive some new post quantum analogues of Dragomir–Agarwal and Iyengar type integral inequalities essentially by using the strongly φ-preinvexity and strongly quasi φ-preinvexity properties of the mappings, respectively. We also discuss several new special cases which show that the results obtained are quite unifying. In order to illustrate the efficiency of our main results, some applications regarding (p,q)-differentiable mappings that are in absolute value bounded are given.

Details

Language :
English
ISSN :
24736988
Volume :
7
Issue :
4
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.ba85bedeb98040b79e1053a90f8f1bf2
Document Type :
article
Full Text :
https://doi.org/10.3934/math.2022317?viewType=HTML