General Multivariate Iyengar Type Inequalities

Year 2019, Volume: 2 Issue: 2, 64 - 80, 01.06.2019

George Anastassıou

https://doi.org/10.33205/cma.543560

Cited By: 6

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

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