General multidimensional fractional Iyengar type inequalities

Abstract

Here we derive a variety of general multivariate fractional Iyengar type inequalities for not necessarily radial functions defined on the shell and ball. Our approach is based on the polar coordinates in RN, N≥ 2 , and the related multivariate polar integration formula. Via this method we transfer author’s univariate fractional Iyengar type inequalities into general multivariate fractional Iyengar inequalities.

Publication Title

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas

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