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Trigonometric Approximation of Signals (Functions) Belonging to W(Lr, ξ(t)) Class by Matrix (C1·Np) Operator
Joint Authors
Mittal, M. L.
Sonker, Smita
Singh, Uaday
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-26
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Various investigators such as Khan (1974), Chandra (2002), and Liendler (2005) have determined the degree of approximation of 2π-periodic signals (functions) belonging to Lip(α,r) class of functions through trigonometric Fourier approximation using different summability matrices with monotone rows.
Recently, Mittal et al.
(2007 and 2011) have obtained the degree of approximation of signals belonging to Lip(α,r)- class by general summability matrix, which generalize some of the results of Chandra (2002) and results of Leindler (2005), respectively.
In this paper, we determine the degree of approximation of functions belonging to Lip α and W(Lr, ξ(t)) classes by using Cesáro-Nörlund (C1·Np) summability without monotonicity condition on {pn}, which in turn generalizes the results of Lal (2009).
We also note some errors appearing in the paper of Lal (2009) and rectify them in the light of observations of Rhoades et al.
(2011).
American Psychological Association (APA)
Singh, Uaday& Mittal, M. L.& Sonker, Smita. 2012. Trigonometric Approximation of Signals (Functions) Belonging to W(Lr, ξ(t)) Class by Matrix (C1·Np) Operator. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-511926
Modern Language Association (MLA)
Singh, Uaday…[et al.]. Trigonometric Approximation of Signals (Functions) Belonging to W(Lr, ξ(t)) Class by Matrix (C1·Np) Operator. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-511926
American Medical Association (AMA)
Singh, Uaday& Mittal, M. L.& Sonker, Smita. Trigonometric Approximation of Signals (Functions) Belonging to W(Lr, ξ(t)) Class by Matrix (C1·Np) Operator. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-511926
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511926