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2013 | OriginalPaper | Buchkapitel

2.  q-Discrete Operators and Their Results

verfasst von : Ali Aral, Vijay Gupta, Ravi P. Agarwal

Erschienen in: Applications of q-Calculus in Operator Theory

Verlag: Springer New York

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Abstract

This chapter deals with the q-analogue of some discrete operators of exponential type. We study some approximation properties of the q-Bernstein polynomials, q-Szász–Mirakyan operators, q-Baskakov operators, and q-Bleimann, Butzer, and Hahn operators. Here, we present moment estimation, convergence behavior, and shape-preserving properties of these discrete operators.

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Metadaten
Titel
q-Discrete Operators and Their Results
verfasst von
Ali Aral
Vijay Gupta
Ravi P. Agarwal
Copyright-Jahr
2013
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4614-6946-9_2