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Kumar, Alok; Vandana

Approximation by genuine Lupaş-Beta-Stancu operators. (English) Zbl 1388.41016

J. Appl. Math. Inform. 36, No. 1-2, 15-28 (2018).
Summary: In this paper, we introduce a Stancu type generalization of genuine Lupaş-Beta operators of integral type. We establish some moment estimates and the direct results in terms of classical modulus of continuity, Voronovskaja-type asymptotic theorem, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function. Lastly, we propose a king type modification of these operators to obtain better estimates.

Cited in 5 Documents

MSC:

41A36 Approximation by positive operators
41A25 Rate of convergence, degree of approximation

Keywords:

Voronovskaja-type theorem; \(K\)-functional; rate of convergence; modulus of continuity; weighted approximation
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\textit{A. Kumar} and \textit{Vandana}, J. Appl. Math. Inform. 36, No. 1--2, 15--28 (2018; Zbl 1388.41016)
Full Text: DOI

References:

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