SOME HERMITE-HADAMARD AND OSTROWSKI TYPE FRACTIONAL INTEGRAL INEQUALITIES VIA NEW GENERALIZED<i> m</i>-TYPE CONVEXITY


Baidar A. W., KUNT M.

MISKOLC MATHEMATICAL NOTES, vol.26, no.2, pp.603-622, 2025 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 2
  • Publication Date: 2025
  • Doi Number: 10.18514/mmn.2025.4627
  • Journal Name: MISKOLC MATHEMATICAL NOTES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.603-622
  • Karadeniz Technical University Affiliated: Yes

Abstract

A new generalized class of m-type convex functions is presented. Some Hermite-Hadamard and Ostrowski type inequalities via Riemann-Liouville fractional integrals are obtained for these functions. Some particular cases are discussed as applications of the findings acquired in this study.