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Saturation and Inverse Theorems for Combinations of a Class of Exponential-Type Operators

Published online by Cambridge University Press:  20 November 2018

C. P. May
C. P. May*
Affiliation:
University of Toronto, Toronto, Ontario
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Rates of convergence, saturation theorems and the socalled “inverse problems” for Bernstein polynomials have been intensively studied (see, e.g., [1 ; 4; 8; 14; 17]). The same problems for some other positive operators have also been investigated by many authors. In this paper, we shall use a uniform approach to study the saturation and inverse problems for a class of linear combinations of operators including Bernstein polynomials, and Szâsz, Post-Widder, Gauss-Weierstrass and Baskakov operators.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 6 , 01 December 1976 , pp. 1224 - 1250
Copyright
Copyright © Canadian Mathematical Society 1976

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