On the Rate of Convergence by Generalized Baskakov Operators

Yi Gao, Wenshuai Wang and Shigang Yue

Advances in Mathematical Physics, 2015, vol. 2015, issue 1

Abstract: We firstly construct generalized Baskakov operators Vn,α,q(f; x) and their truncated sum Bn,α,q(f; γn, x). Secondly, we study the pointwise convergence and the uniform convergence of the operators Vn,α,q(f; x), respectively, and estimate that the rate of convergence by the operators Vn,α,q(f; x) is 1/nq/2. Finally, we study the convergence by the truncated operators Bn,α,q(f; γn, x) and state that the finite truncated sum Bn,α,q(f; γn, x) can replace the operators Vn,α,q(f; x) in the computational point of view provided that limn→∞nγn=∞.

Date: 2015
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https://doi.org/10.1155/2015/564854

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2015:y:2015:i:1:n:564854

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