Ostrowski and Trapezoid Type Inequalities for the Generalized $k$-$g$-Fractional Integrals of Functions with Bounded Variation

Year 2019, Volume: 2 Issue: 4, 309 - 330, 29.12.2019

Sever Dragomir

https://doi.org/10.33434/cams.628097

Cited By: 5

Abstract

In this paper we establish some Ostrowski and trapezoid type inequalities for the $k$-$g$-fractional integrals of functions of bounded variation. Applications for mid-point and trapezoid inequalities are provided as well. Some examples for a general exponential fractional integral are also given.

Keywords

Functions of bounded variation, Generalized Riemann-Liouville fractional integrals, Hadamard fractional integrals, Ostrowski type inequalities, Trapezoid inequalities

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