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Approximation of Signals by Harmonic-Euler Triple Product Means


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

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Our paper deals with the approximation of signals by H1.Eθ.Eθ product means of Fourier and its conjugate series. New theorems based on H1.Eθ.Eθ product summability have been established and proved under general conditions. The established theorems extend, generalize and improve various existing results on summability of Fourier series and its conjugate series.

Keywords

Degree of Approximation, Harmonic-Euler (H1.Eθ.Eθ) - Summability, Fourier Series, Conjugate Series, Lebesgue integral, Second Mean Value (SMV) Theorem
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  • Approximation of Signals by Harmonic-Euler Triple Product Means

Abstract Views: 186  |  PDF Views: 0

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


Our paper deals with the approximation of signals by H1.Eθ.Eθ product means of Fourier and its conjugate series. New theorems based on H1.Eθ.Eθ product summability have been established and proved under general conditions. The established theorems extend, generalize and improve various existing results on summability of Fourier series and its conjugate series.

Keywords


Degree of Approximation, Harmonic-Euler (H1.Eθ.Eθ) - Summability, Fourier Series, Conjugate Series, Lebesgue integral, Second Mean Value (SMV) Theorem

References





DOI: https://doi.org/10.18311/jims%2F2021%2F26084