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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Anastassiou, G.A. (2020). Multivariate Iyengar Inequalities for Radial Functions. In: Intelligent Analysis: Fractional Inequalities and Approximations Expanded. Studies in Computational Intelligence, vol 886. Springer, Cham. https://doi.org/10.1007/978-3-030-38636-8_5
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DOI: https://doi.org/10.1007/978-3-030-38636-8_5
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