Operator norms of Gauß-Weierstraß operators and their left quasi interpolants
DOI:
https://doi.org/10.24193/subbmath.2019.2.08Keywords:
Approximation by positive operators, operator norm.Abstract
The paper deals with the Gauß–Weierstraß operators Wn and their left quasi interpolants W [r]. The quasi interpolants were defined by Paul Sablonni`ere in 2014. Recently, their asymptotic behaviour was studied by Octavian Agratini, Radu P˘alta˘nea and the author by presenting complete asymptotic expansions. In this paper we derive estimates for the operator norms of Wn and W [r] acting on various function spaces.
Mathematics Subject Classification (2010): 41A36, 41A45, 47A30.
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