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3 results on '"post quantum calculus"'

1. Post-quantum Simpson's type inequalities for coordinated convex functions

Author

Xue-Xiao You, Muhammad Aamir Ali, Ghulam Murtaza, Saowaluck Chasreechai, Sotiris K. Ntouyas, and Thanin Sitthiwirattham

Subjects
simpson's inequalities, (p, q)-integrals, post quantum calculus, co-ordinated convexity, Mathematics, QA1-939
Abstract

In this paper, we prove some new Simpson's type inequalities for partial (p,q)-differentiable convex functions of two variables in the context of (p,q)-calculus. We also show that the findings in this paper are generalizations of comparable findings in the literature.

Published
2022
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2. Some new (p, q)-Dragomir–Agarwal and Iyengar type integral inequalities and their applications

Author

Muhammad Uzair Awan, Sadia Talib, Artion Kashuri, Ibrahim Slimane, Kamsing Nonlaopon, and Y. S. Hamed

Subjects
dragomir–agarwal type inequality, iyengar type inequality, (p, q)-integral, strongly φ-preinvex mapping, post quantum calculus, bounded functions, Mathematics, QA1-939
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.

Published
2022
Full Text
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3. Post-quantum Simpson's type inequalities for coordinated convex functions

Author

Xuexiao You, Saowaluck Chasreechai, Muhammad Ali, Ghulam Murtaza, Thanin Sitthiwirattham, and Sotiris K. Ntouyas

Subjects
Inequality, General Mathematics, media_common.quotation_subject, simpson's inequalities, co-ordinated convexity, Combinatorics, (p, QA1-939, Convex function, Quantum, post quantum calculus, q)-integrals, Mathematics, media_common
Abstract

In this paper, we prove some new Simpson's type inequalities for partial $ (p, q) $-differentiable convex functions of two variables in the context of $ (p, q) $-calculus. We also show that the findings in this paper are generalizations of comparable findings in the literature.

Published
2022
Full Text
View/download PDF

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