Trigonometric Approximation of Signals Functions Belonging to the Lipξt,r,r>1-Class by E,q q>0-Means of the Conjugate Series of Its Fourier SeriesReportar como inadecuado




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Various investigators such as Khan 1-4, Khan and Ram 5, Chandra 6,7, Leindler 8, Mishra et al. 9, Mishra 10, Mittal et al. 11, Mittal, Rhoades and Mishra 12, Mittal and Mishra 13, Rhoades et al. 14 have determined the degree of approximation of 2π-periodic signals functions belonging to various classes Lipα, Lipα,r, Lipξt,r and WLr,ζt of functions through trigonometric Fourier approximation TFA using different summability matrices with monotone rows. Recently, Mittal et al. 15, Mishra and Mishra 16, Mishra 17 have obtained the degree of approximation of signals belonging to -class by general summability matrix, which generalizes the results of Leindler 8 and some of the results of Chandra 7 by dropping monotonicity on the elements of the matrix rows that is, weakening the conditions on the filter, we improve the quality of digital filter. In this paper, a theorem concerning the degree of approximation of the conjugate of a signal function f belonging to Lipξt,r class by E,q summability of conjugate series of its Fourier series has been established which in turn generalizes the results of Chandra 7 and Shukla 18.

KEYWORDS

Signals; Conjugate Fourier Series; Trigonometric Fourier Approximation; Degree of Approximation; Lipξt, r-Class; E, q Summability

Cite this paper

V. Mishra, H. Khan, I. Khan, K. Khatri and L. Mishra -Trigonometric Approximation of Signals Functions Belonging to the Lipξt,r,r>1-Class by E,q q>0-Means of the Conjugate Series of Its Fourier Series,- Advances in Pure Mathematics, Vol. 3 No. 3, 2013, pp. 353-358. doi: 10.4236-apm.2013.33050.





Autor: Vishnu Narayan Mishra, Huzoor H. Khan, Idrees A. Khan, Kejal Khatri, Lakshmi N. Mishra

Fuente: http://www.scirp.org/



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