A \(q\)-analogue of the Meyer-König and Zeller operators. (English) Zbl 1232.41028

Mahmudov, Nazim; Sabancigil, Pembe

Bull. Malays. Math. Sci. Soc. (2) 35, No. 1, 39-51 (2012).

Summary: We introduce a new \(q\)-analogue of the Meyer-König and Zeller operators \((M_{n,q}(f ; x))\). We estimate the rate of convergence of \(M_{n,q}(f ; x)\) by the first and the second modulus of continuity.

MSC:

41A35	Approximation by operators (in particular, by integral operators)
41A25	Rate of convergence, degree of approximation
41A36	Approximation by positive operators

Keywords:

Meyer-Konig and Zeller operators; rate of convergence; \(q\)-calculus