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

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

Pages : 62-73

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Publication Date : 2024-04-30

Article Type : Research Paper

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