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Trigonometric approximation of functions belonging to Lipschitz class by matrix ([InlineEquation not available: see fulltext.]) operator of conjugate series of Fourier series.
- Source :
-
Advances in Difference Equations . Dec2013, Vol. 2013 Issue 1, p1-10. 10p. - Publication Year :
- 2013
-
Abstract
- In the present paper, a new theorem on the degree of approximation of a function [InlineEquation not available: see fulltext.], conjugate to a 2 π periodic function f belonging to the Lip α ([InlineEquation not available: see fulltext.]) class without the monotonicity condition on the generating sequence [InlineEquation not available: see fulltext.] has been established, which in turn generalizes the results of Lal (Appl. Math. Comput. 209: 346-350, 2009) on a Fourier series. MSC: 40G05, 41A10, 42B05, 42B08. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2013
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 92902007
- Full Text :
- https://doi.org/10.1186/1687-1847-2013-127