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

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Communications in Advanced Mathematical Sciences
Volume:2 Issue:4
Ostrowski and Trapezoid Type Inequalities for the Generalized $k$-$g$-Fractional Integrals of Functi...

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

Authors : Sever DRAGOMİR

Pages : 309-330

Doi:10.33434/cams.628097

View : 41 | Download : 7

Publication Date : 2019-12-29

Article Type : Research Paper

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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