The Journal of the Indian Mathematical Society

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The Method of Summation (E, 1)(N, pn) and Trigonometric Approximation of Functions in Generalized Holder Metric


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

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In this paper, a new estimate for the degree of trigonometric approximation of the function f ∈ Hωr class by (E, 1)(N, pn) summability means of the Fourier Series has been determined.

Keywords

Trigonometric Approximation, Fourier Series, Generalized Minkowski's Inequality, Generalized Holder Metric, (E, 1) Means, (N, pn) Means and (E, 1)(N, pn) Summability Means.
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  • The Method of Summation (E, 1)(N, pn) and Trigonometric Approximation of Functions in Generalized Holder Metric

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Authors

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

Abstract


In this paper, a new estimate for the degree of trigonometric approximation of the function f ∈ Hωr class by (E, 1)(N, pn) summability means of the Fourier Series has been determined.

Keywords


Trigonometric Approximation, Fourier Series, Generalized Minkowski's Inequality, Generalized Holder Metric, (E, 1) Means, (N, pn) Means and (E, 1)(N, pn) Summability Means.