Some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals

Kalsoom H., Budak H., Kara H., Ali M. A.

OPEN MATHEMATICS, vol.19, no.1, pp.1153-1186, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.1515/math-2021-0072
  • Journal Name: OPEN MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.1153-1186
  • Kocaeli University Affiliated: No

Abstract

In this study, we first obtain a new identity for generalized fractional integrals which contains some parameters. Then by this equality, we establish some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals. Moreover, we show that the results proved in the main section reduce to several Simpson-, trapezoid-and midpoint-type inequalities for various values of parameters.