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Gupta, Vijay; Agrawal, P. N.; Verma, Durvesh Kumar

On discrete \(q\)-beta operators. (English) Zbl 1252.41014

Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 57, No. 1, 39-66 (2011).
The authors propose and study a \(q\)-analogue of the discrete beta operators. They establish some global direct error estimates for such operators in terms of the second order Ditzian-Totik modulus of smoothness. At the end, they study the limiting case of these \(q\)-beta operators.
Reviewer: Vijay Gupta (New Delhi)

Cited in 4 Documents

MSC:

41A25 Rate of convergence, degree of approximation
41A30 Approximation by other special function classes

Keywords:

q-beta operators; q-integer; Ditzian-Totik modulus of smoothness
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\textit{V. Gupta} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 57, No. 1, 39--66 (2011; Zbl 1252.41014)
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