Author： Abel Ulrich
Publisher： Taylor & Francis Ltd
ISSN： 0163-0563
Source： Numerical Functional Analysis and Optimization, Vol.28, Iss.3-4, 2007-03, pp. : 245-264
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Abstract
The paper deals with general Baskakov-Durrmeyer operators containing several previous definitions as special cases. The main results include the local rate of convergence, which is proved based on a representation of the kernel functions in terms of Jacobi polynomials and the complete asymptotic expansion for the sequence of these operators. In obtaining the expansion for simultaneous approximation, a key step is the use of a combinatorical identity for derivatives with weights.
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