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 $\mathbb{R}^{N}$, $N\geq 2$, 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 general multivariate Iyengar inequalities.

Keywords

• Iyengar inequality,Polar coordinates,Shell,Not necessarily radial function,Ball

References

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