New Results on Simpson-Type Inequalities for Co-ordinated Convex Function by Generalized Conformable Integrals


Hezenci F., Budak H.

EXPERIMENTAL MATHEMATICS, vol.34, no.3, pp.446-458, 2025 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 34 Issue: 3
  • Publication Date: 2025
  • Doi Number: 10.1080/10586458.2024.2380760
  • Journal Name: EXPERIMENTAL MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.446-458
  • Keywords: co-ordinated convex function, conformable fractional integrals, fractional integral operators, Simpson inequality
  • Kocaeli University Affiliated: No

Abstract

In this paper, firstly, we prove an identity involving generalized conformable integrals. By using this obtained identity, we establish several Simpson-type inequalities for differentiable co-ordinated convex function by means of generalized conformable fractional integrals. More precisely, some Simpson-type inequalities are obtained using the well-known H & ouml;lder and Power mean inequalities. Furthermore, we also consider some special cases which can be deduced from the main results.