General Multivariate Iyengar Type Inequalities

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 RN , N ≥ 2, and the relatedmultivariate polar integration formula. Via this method we transfer well-known univariate Iyengar type inequalitiesand univariate author’s related results into general multivariate Iyengar inequalities.