The paper deals with positive linear operators based on q-integer. The rate of convergence of these operators is established. For these operators, we present Voronovskaya-type theorems and apply them to q-Bernstein polynomials and q-Stancu operators.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 3, pp. 350–360, March, 2011.
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Nowak, G., Gupta, V. The rate of pointwise approximation of positive linear operators based on q-integer. Ukr Math J 63, 403–415 (2011). https://doi.org/10.1007/s11253-011-0511-2
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DOI: https://doi.org/10.1007/s11253-011-0511-2