Better Approximation

Vijay Gupta and Ravi P. Agarwal
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Vijay Gupta: Netaji Subhas Institute of Technology, School of Applied Sciences
Ravi P. Agarwal: Texas A&M University - Kingsville, Department of Mathematics

Chapter Chapter 5 in Convergence Estimates in Approximation Theory, 2014, pp 141-153 from Springer

Abstract: Abstract Many well-known approximating operators L n , preserve the constant as well as the linear functions, that is, L n (e 0, x) = e 0(x) and L n (e 1, x) = e 1(x) for e i (x) = x i (i = 0, 1). These conditions hold specifically for the Bernstein polynomials, Szász–Mirakjan operators, Baskakov operators, Phillips operators Phillips operators, genuine Durrmeyer-type operators, and so on.

Keywords: Phillips Operators; Baskakov Operators; Bernstein Polynomials; Linear Function; Bernstein-Durrmeyer Operators (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-02765-4_5

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