Approximation of signals belonging to $W'(L^p, \xi (t))$ class by generalized $(C^{\alpha, \eta}. E^{1}. E^{1})$ means

Smita  Sonker; Paramjeet  Sangwan; Bidu Bhusan Jena; Susanta Kumar Paikray

doi:10.5269/bspm.64810

Smita Sonker
Paramjeet Sangwan
Bidu Bhusan Jena
Susanta Kumar Paikray

Abstract

Approximation of signals has always been of great importance in the field of science and engineering due basically to the fact that it has a wide range of applications in signal analysis, system design in modern telecommunications, radar and image processing systems. In this paper, we introduce and study the notion of $(C^{\alpha, \eta}. E^{1}. E^{1})$ product means of conjugate Fourier series for approximation of signals. Based on this potential notion, we establish and prove various new theorems under certain weaker conditions. Finally, we present the concluding remarks which exhibit the effectiveness of our findings.

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