International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 964101, 11 pages
http://dx.doi.org/10.1155/2012/964101
Research Article
Trigonometric Approximation of Signals (Functions) Belonging to Class by Matrix Operator
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India
Received 22 March 2012; Revised 24 April 2012; Accepted 3 May 2012
Academic Editor: Jewgeni Dshalalow
Copyright © 2012 Uaday Singh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Linked References
- J. T. Chen, H.-K. Hong, C. S. Yeh, and S. W. Chyuan, βIntegral representations and regularizations for a divergent series solution of a beam subjected to support motions,β Earthquake Engineering and Structural Dynamics, vol. 25, no. 9, pp. 909β925, 1996. View at Google Scholar Β· View at Scopus
- J. T. Chen and Y. S. Jeng, βDual series representation and its applications to a string subjected to support motions,β Advances in Engineering Software, vol. 27, no. 3, pp. 227β238, 1996. View at Publisher Β· View at Google Scholar Β· View at Scopus
- P. Chandra, βTrigonometric approximation of functions in -norm,β Journal of Mathematical Analysis and Applications, vol. 275, no. 1, pp. 13β26, 2002. View at Publisher Β· View at Google Scholar
- H. H. Khan, βOn the degree of approximation of functions belonging to class ,β Indian Journal of Pure and Applied Mathematics, vol. 5, no. 2, pp. 132β136, 1974. View at Google Scholar Β· View at Zentralblatt MATH
- L. Leindler, βTrigonometric approximation in -norm,β Journal of Mathematical Analysis and Applications, vol. 302, no. 1, pp. 129β136, 2005. View at Publisher Β· View at Google Scholar
- M. L. Mittal, B. E. Rhoades, V. N. Mishra, and U. Singh, βUsing infinite matrices to approximate functions of class using trigonometric polynomials,β Journal of Mathematical Analysis and Applications, vol. 326, no. 1, pp. 667β676, 2007. View at Publisher Β· View at Google Scholar Β· View at Zentralblatt MATH
- M. L. Mittal, B. E. Rhoades, S. Sonker, and U. Singh, βApproximation of signals of class by linear operators,β Applied Mathematics and Computation, vol. 217, no. 9, pp. 4483β4489, 2011. View at Publisher Β· View at Google Scholar Β· View at Zentralblatt MATH
- S. Lal, βApproximation of functions belonging to the generalized Lipschitz class by summability method of Fourier series,β Applied Mathematics and Computation, vol. 209, no. 2, pp. 346β350, 2009. View at Publisher Β· View at Google Scholar Β· View at Zentralblatt MATH
- B. E. Rhoades, K. Ozkoklu, and I. Albayrak, βOn the degree of approximation of functions belonging to a Lipschitz class by Hausdorff means of its Fourier series,β Applied Mathematics and Computation, vol. 217, no. 16, pp. 6868β6871, 2011. View at Publisher Β· View at Google Scholar Β· View at Zentralblatt MATH
- L. McFadden, βAbsolute Nörlund summability,β Duke Mathematical Journal, vol. 9, pp. 168β207, 1942. View at Publisher Β· View at Google Scholar Β· View at Zentralblatt MATH