Geodesic
Multivariate Iyengar type inequalities for radial functions
Problemy analiza, Tome 8 (2019) no. 2, pp. 3-27

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{PA_2019_8_2_a0,
     author = {George A. Anastassiou},
     title = {Multivariate {Iyengar} type inequalities for radial functions},
     journal = {Problemy analiza},
     pages = {3--27},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2019_8_2_a0/}
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George A. Anastassiou. Multivariate Iyengar type inequalities for radial functions. Problemy analiza, Tome 8 (2019) no. 2, pp. 3-27. http://geodesic.mathdoc.fr/item/PA_2019_8_2_a0/