|
This article is cited in 2 scientific papers (total in 2 papers)
Multivariate Iyengar type inequalities for radial functions
George A. Anastassiou Department of Mathematical Sciences,
University of Memphis,
Memphis, TN 38152, U.S.A.
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 $\mathbb{R}^{N}$, $N\geq 2$, 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 multivariate Iyengar inequalities.
Keywords:
Iyengar inequality, Polar coordinates, radial function, Shell, Ball.
Received: 20.11.2018 Revised: 15.03.2019 Accepted: 18.03.2019
Citation:
George A. Anastassiou, “Multivariate Iyengar type inequalities for radial functions”, Probl. Anal. Issues Anal., 8(26):2 (2019), 3–27
Linking options:
https://www.mathnet.ru/eng/pa260 https://www.mathnet.ru/eng/pa/v26/i2/p3
|
Statistics & downloads: |
Abstract page: | 112 | Full-text PDF : | 43 | References: | 17 |
|