Extended Ostrowski Type Inequalities Involving Conformable Fractional Integrals

Year 2022, Volume: 10 Issue: 1, 182 - 187, 15.04.2022

Samet Erden , Pınar Bolu

Abstract

The purpose of this work is to establish extended Ostrowski type inequalities involving conformable fractional integrals. We first give an identity for functions whose α-fractional derivatives are bounded. After that, two extended Ostrowski type inequalities which involve conformable fractional integrals for functions whose α-fractional derivatives are bounded are developed. Additionally, the applications of numerical integration that emerged when investigating these inequalities are given.

Keywords

Ostrowski inequality, bounded functions, conformable fractional calculus.

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