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

AIMS Mathematics

Muhammad Uzair Awan¹  Sadia Talib¹  Artion Kashuri²  Ibrahim Slimane³  Kamsing Nonlaopon⁴  Y. S. Hamed⁵ 

[1] 1. Department of Mathematics, Government College University, Faisalabad, Pakistan;2. Department of Mathematics, Faculty of Technical Science, University "Ismail Qemali", 9400 Vlora, Albania;3. Faculty of Exact Sciences and Informatics, UMAB Abdelhamid Ibn Badis University of Mostaganem, Algeria;4. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand;5. Department of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia;

关键词: dragomir–agarwal type inequality;    iyengar type inequality;    (p;    q)-integral;    strongly φ-preinvex mapping;    post quantum calculus;    bounded functions;   

DOI  :  10.3934/math.2022317

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown