This paper is concerned with a generalization in q-calculus of Stancu operators. Involving modulus of continuity and Lipschitz type maximal function, we give estimates for the rate of convergence. A probabilistic approach is presented and approximation properties are established.


Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania


q-integers; q-Bernstein polynomials; Uniform convergence; Smoothness; Lipschitz-type maximal function.

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O. Agratini, On a q-analogue of Stancu operators, Cent. Eur. J. Math., 8 (2010) no. 1, pp. 191-198.   DOI: 10.2478/s11533-009-0057-9


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