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Multivariate Iyengar Inequalities for Radial Functions

  • George A. AnastassiouEmail author
Chapter
Part of the Studies in Computational Intelligence book series (SCI, volume 886)

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 \(\mathbb {R}^{N}\), \(N\ge 2\), 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. See also [3].

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Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Mathematical SciencesUniversity of MemphisMemphisUSA

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