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Submitted
April 20, 2020
Accepted
September 22, 2020
Published
November 5, 2020
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Abstract

We establish some Ostrowski type inequalities involving higher-order partial derivatives for two-dimensional integrals on Lebesgue spaces (L_{∞}, L_{p} and L₁). Some applications in Numerical Analysis in connection with cubature formula are given. Finally,  with the help of obtained inequality, we establish applications for the kth moment of random variables.

Keywords

Ostrowski inequality cubature formula random variable.

Article Details

How to Cite
Erden, S., & Sarikaya, M. Z. (2020). Some Weighted Inequalities for Higher-Order Partial Derivatives in Two Dimensions and Its Applications. Journal of the Indonesian Mathematical Society, 26(3), 345–368. https://doi.org/10.22342/jims.26.3.919.345-368
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