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ORDER OF APPROXIMATION FOR SAMPLING KANTOROVICH OPERATORS
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Journal Article
ORDER OF APPROXIMATION FOR SAMPLING KANTOROVICH OPERATORS
2014
Overview
In this paper, we study the problem of the rate of approximation for the family of sampling Kantorovich operators in the uniform norm, for uniformly continuous and bounded functions belonging to Lipschitz classes (Zygmundtype classes), and for functions in Orlicz spaces. The general setting of Orlicz spaces allows us to directly deduce the results concerning the order of approximation in Lp-spaces, 1 ≤ p < ∞, very useful in applications to Signal Processing, in Zygmund spaces and in exponential spaces. Particular cases of the sampling Kantorovich series based on Fejér's kernel and B-spline kernels are studied in detail.
Publisher
The Rocky Mountain Mathematics Consortium
