pq-Simpson’s Type Inequalities Involving Generalized Convexity and Raina’s Function-Reference-Cited by-同舟云学术

pq-Simpson’s Type Inequalities Involving Generalized Convexity and Raina’s Function

Published:2024-04-09 Issue:4 Volume:16 Page:457
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Vivas-Cortez Miguel¹^ORCID,Baig Ghulam Murtaza²^ORCID,Awan Muhammad Uzair³^ORCID,Brahim Kamel⁴

Affiliation:

1. Escuela de Ciencias Físicas y Matemáticas, Facultad de Ciencias Exactas y Naturales, Pontificia Universidad Católica del Ecuador, Av. 12 de Octubre 1076, Quito 17-01-2184, Ecuador

2. Department of Mathematics, University of Management and Technology C-II, Lahore 54700, Pakistan

3. Department of Mathematics, Government College University, Faisalabad 38000, Pakistan

4. Department of Mathematics, College of Science, University of Bisha, P.O. Box 551, Bisha 61922, Saudi Arabia

Abstract

This study uses Raina’s function to obtain a new coordinated pq-integral identity. Using this identity, we construct several new pq-Simpson’s type inequalities for generalized convex functions on coordinates. Setting p1=p2=1 in these inequalities yields well-known quantum Simpson’s type inequalities for coordinated generalized convex functions. Our results have important implications for the creation of post quantum mathematical frameworks.

Funder

Pontificia Universidad Católica del Ecuador

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/4/457/pdf

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