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Approximation of Signal Belonging to W' (Lp, ξ(t)) Class by Generalized Cesaro-Euler (Cα,η.Eθ) Operator of Conjugate Fourier Series


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1 Department of Mathematics, National Institute of Technology Kurukshetra -136119, India
     

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In this paper, an attempt is made to establish a new theorem on approximation of signal belonging to W' (Lp, ξ(t)), (p ≥ 1), (t > 0) class by using generalized Ces`aro-Euler (Cα,η.Eθ) means of conjugate Fourier series. The established theorem extends, generalizes and improves previous results on summability of conjugate Fourier series for better convergence. In addition, product operators approximate more accurately than individual linear operators.


Keywords

Signal Approximation, Weighted Lipschitz WW' (Lp, ξ(t)), (P ≥ 1), (t 62; 0) Class, Ces`aro (Cα,η)-Mean, Euler (Eθ)-Mean, Ces`aro-Euler (Cα,η.Eθ) Product Mean, Conjugate Fourier Series, H¨older’s Inequality.
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  • Approximation of Signal Belonging to W' (Lp, ξ(t)) Class by Generalized Cesaro-Euler (Cα,η.Eθ) Operator of Conjugate Fourier Series

Abstract Views: 233  |  PDF Views: 5

Authors

Smita Sonker
Department of Mathematics, National Institute of Technology Kurukshetra -136119, India
Paramjeet Sangwan
Department of Mathematics, National Institute of Technology Kurukshetra -136119, India

Abstract


In this paper, an attempt is made to establish a new theorem on approximation of signal belonging to W' (Lp, ξ(t)), (p ≥ 1), (t > 0) class by using generalized Ces`aro-Euler (Cα,η.Eθ) means of conjugate Fourier series. The established theorem extends, generalizes and improves previous results on summability of conjugate Fourier series for better convergence. In addition, product operators approximate more accurately than individual linear operators.


Keywords


Signal Approximation, Weighted Lipschitz WW' (Lp, ξ(t)), (P ≥ 1), (t 62; 0) Class, Ces`aro (Cα,η)-Mean, Euler (Eθ)-Mean, Ces`aro-Euler (Cα,η.Eθ) Product Mean, Conjugate Fourier Series, H¨older’s Inequality.

References