General Multivariate Iyengar Type Inequalities

Authors : George Anastassiou

Pages : 64-80

Doi:10.33205/cma.543560

View : 15 | Download : 8

Publication Date : 2019-06-01

Article Type : Research

Abstract :Here we give a variety of general multivariate Iyengar type inequalities for not necessarily radial functions defined on the shell and ball. Our approach is based on the polar coordinates in $\mathbb{R}^{N}$, $N\geq 2$, and the related multivariate polar integration formula. Via this method we transfer well-known univariate Iyengar type inequalities and univariate author's related results into general multivariate Iyengar inequalities.
Keywords : Iyengar inequality, Polar coordinates, Shell, Not necessarily radial function, Ball