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General multidimensional fractional Iyengar type inequalities

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

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.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Memphis, Memphis, TN, 38152, USA

    George A. Anastassiou

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  1. George A. Anastassiou
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Correspondence to George A. Anastassiou.

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Anastassiou, G.A. General multidimensional fractional Iyengar type inequalities. RACSAM 113, 2537–2573 (2019). https://doi.org/10.1007/s13398-019-00640-5

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  • DOI: https://doi.org/10.1007/s13398-019-00640-5

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