Ostrowski Type Inequalities Including Riemann-Liouville Fractional Integrals for Two Variable Functions

Year 2024, Volume: 12 Issue: 1, 62 - 73, 30.04.2024

Samet Erden , Burçin Gökkurt Özdemir , Sevgi Kılıçer , Canmert Demır

Abstract

The main purpose of this study is to establish new inequalities including Riemann-Liouville fractional integrals for various classes of functions with two variables. We first establish two identities involving Riemann-Liouville fractional integrals for higher-order partial differential functions. Then, some fractional Ostrowski type inequalities for functions of bounded variation of two variables are attained. Moreover, we present fractional integral inequalities for functions whose higher-order partial derivatives are elements of $L_{\infty }$ and $L_{1},$ respectively. Some special cases and midpoint versions of our main results are also examined.

Keywords

Bounded functions, fuctions of bounded variation, fractional integrals, Ostrowski type inequalities.

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