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Erden, Samet
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Mathematics

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Some Weighted Inequalities for Higher-Order Partial Derivatives in Two Dimensions and Its Applications Erden, Samet; Sarikaya, M. Zeki
Journal of the Indonesian Mathematical Society VOLUME 26 NUMBER 3 (NOVEMBER 2020)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.26.3.919.345-368

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.
Co-Authors Sarikaya, M. Zeki