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General multidimensional fractional Iyengar type inequalities

  • George A. AnastassiouEmail author
Original Paper
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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 \({\mathbb {R}}^{N}\), \( N\ge 2\), 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.

Keywords

Iyengar inequality Polar coordinates Not necessarily radial function Shell and ball Fractional derivatives 

Mathematics Subject Classification

26A33 26D10 26D15 

Notes

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Copyright information

© The Royal Academy of Sciences, Madrid 2019

Authors and Affiliations

  1. 1.Department of Mathematical SciencesUniversity of MemphisMemphisUSA

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