Bivariate Extension of Linear Positive Operators

P. N. Agrawal () and Meenu Goyal ()
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P. N. Agrawal: Indian Institute of Technology Roorkee
Meenu Goyal: Indian Institute of Technology Roorkee

A chapter in Mathematical Analysis, Approximation Theory and Their Applications, 2016, pp 15-62 from Springer

Abstract: Abstract The goal of this chapter is to present a survey of the literature on approximation of functions of two variables by linear positive operators. We study the approximation properties of these operators in the space of functions of two variables, continuous on a compact set. We also discuss the convergence of the operators in a weighted space of functions of two variables and find the rate of this convergence by means of modulus of continuity.

Keywords: Rate of convergence; Simultaneous approximation; Bivariate modulus of continuity; Approximation by positive operators; Ssasz-Mirakjan operators; Baskakov operators; Asymptotic formula; Weighted approximation (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-31281-1_2

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DOI: 10.1007/978-3-319-31281-1_2

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