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On some generalized Simpson type inequalities for (α,m)-coordinated convex functions in context of q1q2-calculus

Authors :
Gulshan, Ghazala
Ali, Muhammad Aamir
Hussain, Rashida
Sadiq, Asad
Budak, Hüseyin
Source :
Analysis - International Mathematical Journal of Analysis and its Application; November 2024, Vol. 44 Issue: 4 p253-280, 28p
Publication Year :
2024

Abstract

In the current investigation, we offer the generalized version of q1⁢q2{q_{1}q_{2}}-Simpson’s type inequalities via (α,m){(\alpha,m)}-coordinated convex functions. To validate their generalized behavior, we demonstrate the link between our outcomes and the already derived ones. Moreover, we provide some application to special means of positive real numbers to support our findings. The principal outcomes raised in this investigation are extensions and generalizations of the comparable results in the history on Simpson’s inequalities for coordinated convex functions.

Details

Language :
English
ISSN :
01744747
Volume :
44
Issue :
4
Database :
Supplemental Index
Journal :
Analysis - International Mathematical Journal of Analysis and its Application
Publication Type :
Periodical
Accession number :
ejs67861816
Full Text :
https://doi.org/10.1515/anly-2023-0023