High Order Approximation by Multivariate Sublinear and Max-Product Operators Under Convexity

Chapter
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 147)

Abstract

Here we search quantitatively under convexity the approximation of multivariate function by general multivariate positive sublinear operators with applications to multivariate Max-product operators. These are of Bernstein type, of Favard-Szász-Mirakjan type, of Baskakov type, of sampling type, of Lagrange interpolation type and of Hermite-Fejér interpolation type. Our results are both: under the presence of smoothness and without any smoothness assumption on the function to be approximated which fulfills a convexity assumption. It follows (Anastassiou, Approximations by multivariate sublinear and max-product operators under convexity, submitted, 2017, [4]).

References

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematical SciencesUniversity of MemphisMemphisUSA

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