Some Weighted Inequalities for Higher-Order Partial Derivatives in Two Dimensions and Its Applications
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Published:2020-11-05
Issue:
Volume:
Page:345-368
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ISSN:2460-0245
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Container-title:Journal of the Indonesian Mathematical Society
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language:
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Short-container-title:JIMS
Author:
Erden Samet,Sarikaya M. Zeki
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.
Publisher
Indonesian Mathematical Society
Subject
General Agricultural and Biological Sciences