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Agarwal, R. P., Luo, M.-J. and Raina, R. K. On Ostrowski type inequalities, Fasciculi Mathematici, 204, De Gruyter, 2016.

has been cited by the following article:

Article

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

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


Turkish Journal of Analysis and Number Theory. 2019, Vol. 7 No. 2, 41-49
DOI: 10.12691/tjant-7-2-3
Copyright © 2019 Science and Education Publishing

Cite this paper:
Hüseyin Budak, Fuat Usta, Tuba Tunç, 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.

Correspondence to: Hüseyin  Budak, Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce,Turkey. Email: hsyn.budak@gmail.com

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