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Georgian Mathematical Journal

Editor-in-Chief: Kiguradze, Ivan / Buchukuri, T.

Editorial Board: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, Jean / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio


IMPACT FACTOR 2018: 0.551

CiteScore 2018: 0.52

SCImago Journal Rank (SJR) 2018: 0.320
Source Normalized Impact per Paper (SNIP) 2018: 0.711

Mathematical Citation Quotient (MCQ) 2018: 0.27

Online
ISSN
1572-9176
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Volume 18, Issue 3

Issues

The refined direct and converse inequalities of trigonometric approximation in weighted variable exponent Lebesgue spaces

Ramazan Akgün / Vakhtang Kokilashvili
Published Online: 2011-08-02 | DOI: https://doi.org/10.1515/gmj.2011.0037

Abstract

Refined direct and converse theorems of trigonometric approximation are proved in the variable exponent Lebesgue spaces with weights satisfying some Muckenhoupt Ap -condition. As a consequence, the refined versions of Marchaud and its converse inequalities are obtained.

Keywords.: Weighted fractional modulus of smoothness; direct theorem; converse theorem; fractional derivative; variable exponent Lebesgue space

About the article

Received: 2010-02-17

Published Online: 2011-08-02

Published in Print: 2011-09-01


Citation Information: Georgian Mathematical Journal, Volume 18, Issue 3, Pages 399–423, ISSN (Online) 1072-9176, ISSN (Print) 1072-947X, DOI: https://doi.org/10.1515/gmj.2011.0037.

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