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On the rate of approximation by q modified beta operators. (English) Zbl 1211.41004
The authors propose the q analogue of the modified Beta operators. They apply q-derivatives to obtain the central moments of the discrete q-Beta operators. A direct result in terms of modulus of continuity for the q-operators is also established. They have also used the properties of q-integral to establish the recurrence formula for the moments of q-modified Beta operators and an asymptotic formula.
MSC:
41A25Rate of convergence, degree of approximation
41A36Approximation by positive operators
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