Open Access
september 2017 Generalized derivatives and approximation in weighted Lorentz spaces
Ramazan Akgün, Yunus Emre Yildirir
Bull. Belg. Math. Soc. Simon Stevin 24(3): 353-366 (september 2017). DOI: 10.36045/bbms/1506477686

Abstract

In the present article we prove direct, simultaneous and converse approximation theorems by trigonometric polynomials for functions $f$ and $ \left( \psi ,\beta \right) $-derivatives of $f$ in weighted Lorentz spaces.

Citation

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Ramazan Akgün. Yunus Emre Yildirir. "Generalized derivatives and approximation in weighted Lorentz spaces." Bull. Belg. Math. Soc. Simon Stevin 24 (3) 353 - 366, september 2017. https://doi.org/10.36045/bbms/1506477686

Information

Published: september 2017
First available in Project Euclid: 27 September 2017

zbMATH: 1375.41011
MathSciNet: MR3706806
Digital Object Identifier: 10.36045/bbms/1506477686

Subjects:
Primary: 41A25 , 41A27 , 42A10

Keywords: direct and inverse theorem , modulus of smoothness , Muckenhoupt weight , trigonometric polynomials , weighted Lorentz spaces

Rights: Copyright © 2017 The Belgian Mathematical Society

Vol.24 • No. 3 • september 2017
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