New Quantum Boundaries for q-Simpson's Type Inequalities for Co-Ordinated Convex Functions

Alp N., Ali M. A., Budak H., Sarikaya M. Z.

FILOMAT, vol.36, no.12, pp.3919-3940, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 12
  • Publication Date: 2022
  • Doi Number: 10.2298/fil2212919a
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.3919-3940
  • Kocaeli University Affiliated: No

Abstract

The aim of this work is to develop quantum estimates for q-Simpson type integral inequalities for co-ordinated convex functions by using the notion of newly defined q1q2-derivatives and integrals. For this, we establish a new identity including quantum integrals and quantum numbers via q1q2- differentiable functions. After that, with the help of this equality, we achieved the results we want. The outcomes raised in this paper are extensions and generalizations of the comparable results in the literature on Simpson's inequalities for co-ordinated convex functions.