Sharp Ul’yanov-type inequalities using fractional smoothness
- 5 May 2010
- journal article
- Published by Elsevier BV in Journal of Approximation Theory
- Vol. 162 (9), 1654-1684
- https://doi.org/10.1016/j.jat.2010.04.010
Abstract
No abstract availableKeywords
This publication has 16 references indexed in Scilit:
- Convergence of trigonometric series with general monotone coefficientsComptes Rendus Mathematique, 2007
- Trigonometric series of Nikol’skii classesActa Mathematica Hungarica, 2007
- Moduli of smoothness of functions and their derivativesStudia Mathematica, 2007
- Ul’yanov and Nikol'skii-type inequalitiesJournal of Approximation Theory, 2005
- Embeddings of fractional Sobolev spaces and estimates of Fourier transformsSbornik: Mathematics, 2001
- Moduli of smoothness andK-functionals inL p, 0<p<1Constructive Approximation, 1995
- APPROXIMATION OF PERIODIC FUNCTIONS OF SEVERAL VARIABLES BY TRIGONOMETRIC POLYNOMIALS, AND WIDTHS OF SOME CLASSES OF FUNCTIONSMathematics of the USSR-Izvestiya, 1986
- Weak interpolation in Banach spacesJournal of Functional Analysis, 1979
- Best Trigonometric Approximation, Fractional Order Derivatives and Lipschitz ClassesCanadian Journal of Mathematics, 1977
- A convergence criterion for Fourier seriesMathematische Zeitschrift, 1928