论文信息 - On Stancu-Mühlbach Operators and Some Connected Problems Concerning Probability Distributions

On Stancu-Mühlbach Operators and Some Connected Problems Concerning Probability Distributions

New approximation properties concerning Beta and Stancu-Muhlbach operators are given. It is shown that both operators preserve Lipschitz constants. We also give quantitative estimates for the approximation of Bernstein, Szasz, and Baskakov operators by Stancu-Muhlbach operators, as well as for the approximation of Gamma operators by Beta operators. By duality, these results may be translated into quantitative estimates for the total variation distance from the Polya distribution to the binomial, Poisson, and negative binomial distributions.

J. Delacal

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