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Approximation of Signals (Functions) by Trigonometric Polynomials in Lp-Norm
Joint Authors
Mittal, M. L.
Singh, Mradul Veer
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-09
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Mittal and Rhoades (1999, 2000) and Mittal et al.
(2011) have initiated a study of error estimates En(f) through trigonometric-Fourier approximation (tfa) for the situations in which the summability matrix T does not have monotone rows.
In this paper, the first author continues the work in the direction for T to be a Np-matrix.
We extend two theorems on summability matrix Np of Deger et al.
(2012) where they have extended two theorems of Chandra (2002) using Cλ-method obtained by deleting a set of rows from Cesàro matrix C1.
Our theorems also generalize two theorems of Leindler (2005) to Np-matrix which in turn generalize the result of Chandra (2002) and Quade (1937).
American Psychological Association (APA)
Mittal, M. L.& Singh, Mradul Veer. 2014. Approximation of Signals (Functions) by Trigonometric Polynomials in Lp-Norm. International Journal of Mathematics and Mathematical Sciences،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-458826
Modern Language Association (MLA)
Mittal, M. L.& Singh, Mradul Veer. Approximation of Signals (Functions) by Trigonometric Polynomials in Lp-Norm. International Journal of Mathematics and Mathematical Sciences No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-458826
American Medical Association (AMA)
Mittal, M. L.& Singh, Mradul Veer. Approximation of Signals (Functions) by Trigonometric Polynomials in Lp-Norm. International Journal of Mathematics and Mathematical Sciences. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-458826
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-458826