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Entire unbounded functions on Banach spaces with a monotone Schauder basis.

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Ansemil, José María M. and Aron, Richard M. and Ponte, Socorro (2012) Entire unbounded functions on Banach spaces with a monotone Schauder basis. Mathematica, 54 (77, Sp). pp. 37-42. ISSN 1222-9016

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Abstract

In this work we investigate the inverse approximation problems in the Lebesgue and Smirnov spaces with weights satisfying the so-called Muckenhoupt's Ap condition in terms of the -th mean modulus of smoothness, > 0. We obtain a converse theorem of trigonometric approximation in the weighted Lebesgue spaces and obtain some converse theorems of algebraic polynomial approximation in the weighted Smirnov spaces.


Item Type:Article
Uncontrolled Keywords:Weighted Smirnov spaces, Dini-smooth curve, inverse theorems, fractional modulus of smoothness.
Subjects:Sciences > Mathematics > Differential geometry
Sciences > Mathematics > Functions
ID Code:22571
Deposited On:25 Jul 2013 10:18
Last Modified:09 Aug 2018 10:56

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