Several New Integral Inequalities via k-Riemann--Liouvillefractional Integrals Operators

Butt S., BAYRAKTAR B., Umar M.

Problemy Analiza-Issues of Analysis, vol.10, pp.3-22, 2021 (ESCI, Scopus)

  • Publication Type: Article / Article
  • Volume: 10
  • Publication Date: 2021
  • Doi Number: 10.15393/j3.art.2021.8770
  • Journal Name: Problemy Analiza-Issues of Analysis
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.3-22
  • Keywords: eta-quasi-convex, s-Godunova - Levin type, k-Riemann - Liouville fractional integral, Holder inequality, weighted Holder inequality, power mean inequality, HADAMARD-TYPE, (S
  • Bursa Uludag University Affiliated: Yes

Abstract

The main objective of this paper is to establish several new integral inequalities including k-Riemann - Liouville fractional integrals for convex, s-Godunova - Levin convex functions, quasi-convex, eta-quasi-convex. In order to obtain our results, we have used classical inequalities as Holder inequality, Power mean inequality and Weighted Holder inequality. We also give some applications.