Some New Inequalities of Ostrowski Type for Double Integrals via Fractional Integral Operators

Hüseyin Budak^1, , Fuat Usta¹, Tuba Tunç¹ and Mehmet Zeki Sarıkaya¹

¹Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce,Turkey

Cite this paper:
Hüseyin Budak, Fuat Usta, Tuba Tunç and Mehmet Zeki Sarıkaya. Some New Inequalities of Ostrowski Type for Double Integrals via Fractional Integral Operators. Turkish Journal of Analysis and Number Theory. 2019; 7(2):41-49. doi: 10.12691/tjant-7-2-3

Abstract

In this paper, we first obtain the useful identity for double integrals via fractional integral operators. Then with the help of this identity we outline some significant Ostrowski type integral inequalities for functions in two variables. In accordance with this purpose we benefit from the properties of bounded function and concave mappings on co-ordinates. The established results are extensions of some existing Ostrowski type inequalities in the previous published studies.

Keywords:
Ostrowski inequality fractional integral operators convex function

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