ISSN:
1432-0940
Keywords:
Key words. Gamma-type operators, Strong converse inequalities, Ditzian—Totik modulus of smoothness, Uniform distance, Gamma process, Laplace transform, Poisson mixture. AMS Classification. {\rm Primary}, 44A10, 41A35; {\rm Secondary}, 60J30.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. We give a strong converse inequality of type A in the usual sup-norm for a noncentered gamma operator L t * , providing at the same time upper and lower constants. This operator, which does not preserve smooth functions, is connected with real Laplace transforms and Poisson mixtures. We use a probabilistic approach based on the representation of L t * in terms of gamma processes.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s003659900121
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