2017
Том 69
№ 6

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The rate of pointwise approximation of positive linear operators based on q-integer

Gupta Vijay, Nowak G.

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Abstract

This paper is concerned with positive linear operators based on a q-integer. The rate of covergence of these operators are established. For these operators, we give Voronovskaya-type theorems and apply them to q Bernstein polynomials and q-Stancu operators.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 3, pp 403-415.

Citation Example: Gupta Vijay, Nowak G. The rate of pointwise approximation of positive linear operators based on q-integer // Ukr. Mat. Zh. - 2011. - 63, № 3. - pp. 350-360.

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