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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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Official URL: http://math.ubbcluj.ro/~mathjour/index.html

## 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 |
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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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