Journal of the Indonesian Mathematical Society
VOLUME 26 NUMBER 3 (NOVEMBER 2020)

Some Weighted Inequalities for Higher-Order Partial Derivatives in Two Dimensions and Its Applications

Erden, Samet (Unknown)
Sarikaya, M. Zeki (Unknown)

Article Info

Publish Date
05 Nov 2020

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.

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Journal Info
Journal of the Indonesian Mathematical Society
Website

Abbrev

JIMS

Publisher

Indonesian Mathematical Society

Subject

Mathematics

Description

Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their ...