IJPAM: Volume 83, No. 5 (2013)

APPROXIMATION OF SIGNALS (FUNCTIONS) BY
(E,q)(C,1) PRODUCT OPERATORS

H.K. Nigam
Department of Mathematics
Faculty of Engineering & Technology
Mody Institute of Technology & Science Deemed University
Lakshmangarh, 332311, Rajasthan, INDIA

Proceedings of
NCRTMSA - 2012


Abstract. In this paper, we establish a quite new theorem on degree of approximation of a function , conjugate to a 2π periodic function f belonging to class Lipα by (E,q)(C,1) product operators on a conjugate Fourier series.

Received: January 10, 2013

AMS Subject Classification: 42B05, 42B08

Key Words and Phrases: degree of approximation, Lipα class of function, (E,q) operators, (C,1) operators, (E,q)(C,1) product operators, Fourier series, conjugate Fourier series, Lebesgue integral

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DOI: 10.12732/ijpam.v83i5.13 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 83
Issue: 5