Multivariate Iyengar type inequalities for radial functions

Abstract

Here we present a variety of multivariate Iyengar type inequalities for radial functions defined on the shell and ball. Our approach is based on the polar coordinates in ℝN, N ≥ 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 multivariate Iyengar inequalities.

Publication Title

Problemy Analiza

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