The Journal of the Indian Mathematical Society

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Best Approximation of Functions of Zygmund Class by Matrix-euler (Δ·E1) Means of Fourier Series


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1 Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221005, India
     

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In this paper, best approximation of a function f belonging to Zygmund class, Zα, (0 < α ≤ 1) by Matrix-Euler (Δ·E1) means of its Fourier Series has been determined.

Keywords

Best Approximation, Fourier Series, E1 Means, Matrix Summability Means and (Δ·E1) Summability Means, Zygmund Class.
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  • Best Approximation of Functions of Zygmund Class by Matrix-euler (Δ·E1) Means of Fourier Series

Abstract Views: 326  |  PDF Views: 2

Authors

Shyam Lal
Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221005, India
Shireen
Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221005, India

Abstract


In this paper, best approximation of a function f belonging to Zygmund class, Zα, (0 < α ≤ 1) by Matrix-Euler (Δ·E1) means of its Fourier Series has been determined.

Keywords


Best Approximation, Fourier Series, E1 Means, Matrix Summability Means and (Δ·E1) Summability Means, Zygmund Class.