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Lal, Shyam
- Best Approximation of Functions of Zygmund Class by Matrix-euler (Δ·E1) Means of Fourier Series
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Affiliations
1 Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221005, IN
1 Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221005, IN
Source
The Journal of the Indian Mathematical Society, Vol 82, No 1-2 (2015), Pagination: 61-78Abstract
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.- The Method of Summation (E, 1)(N, pn) and Trigonometric Approximation of Functions in Generalized Holder Metric
Abstract Views :261 |
PDF Views:0
Authors
Shyam Lal
1,
Abhishek Mishra
1
Affiliations
1 Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221005, IN
1 Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221005, IN
Source
The Journal of the Indian Mathematical Society, Vol 80, No 1-2 (2013), Pagination: 87-98Abstract
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.- On the Approximation of Function f(x,y) Belonging to Lipschitz Class by Matrix Summability Method of Double Fourier Series
Abstract Views :268 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics, Banaras Hindu University, Varanasi-221005, IN
1 Department of Mathematics, Banaras Hindu University, Varanasi-221005, IN