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 (Journal Indexed in ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10
  • Publication Date: 2021
  • Doi Number: 10.15393/j3.art.2021.8770
  • Title of Journal : Problemy Analiza-Issues of Analysis
  • 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

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.