Quantitative convergence results for a family of hybrid operators

Meenu Goyal, Vijay Gupta and P.N. Agrawal

Applied Mathematics and Computation, 2015, vol. 271, issue C, 893-904

Abstract: We introduce a one parameter family of hybrid operators and study quantitative convergence theorems for these operators e.g. local and weighted approximation results and simultaneous approximation of derivatives. Further, we discuss the statistical convergence of these operators. Lastly, we show the rate of convergence of these operators to a certain function by illustrative graphics in Matlab.

Keywords: Baskakov–Szász operators; Modulus of continuity; Asymptotic formula; Rate of convergence; Statistical convergence (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:893-904

DOI: 10.1016/j.amc.2015.08.122

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