Results 21 to 30 of about 755,430 (311)
Rapidly Converging Series for ζ(2n+1) from Fourier Series
Abstract and Applied Analysis, 2014 Ever since Euler first evaluated ζ(2) and ζ(2m), numerous interesting solutions of the problem of evaluating the ζ(2m) (m∈ℕ) have appeared in the mathematical literature.
Junesang Choi
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Journal of Numerical Analysis and Approximation Theory, 1976 Not available.
G.P. Névai
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Local properties of Fourier series
International Journal of Mathematics and Mathematical Sciences, 2000 A theorem on local property of |N¯,pn|k summability of factored Fourier series, which generalizes some known results, and also a general theorem concerning the |N¯,pn|k summability factors of Fourier series have been proved.
Hüseyin Bor
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Fast Algorithms for the computation of Fourier Extensions of arbitrary length [PDF]
, 2015 Fourier series of smooth, non-periodic functions on $[-1,1]$ are known to exhibit the Gibbs phenomenon, and exhibit overall slow convergence. One way of overcoming these problems is by using a Fourier series on a larger domain, say $[-T,T]$ with $T>1$, a
Daan Huybrechs +3 more
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On (J,pn) summability of Fourier series
International Journal of Mathematics and Mathematical Sciences, 1989 In this note two theorems have been established. The first one deals with the summability (J,pn) of a Fourier series while the second on concerns with the summability of the first derived Fourier series.
S. M. Mazhar
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Product Summability Transform of Conjugate Series of Fourier Series
International Journal of Mathematics and Mathematical Sciences, 2012 A known theorem, Nigam (2010) dealing with the degree of approximation of conjugate of a signal belonging to Lipξ(t)-class by (E,1)(C,1) product summability means of conjugate series of Fourier series has been generalized for the weighted W(Lr,ξ(t)), (r ...
Vishnu Narayan Mishra +2 more
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On uniform convergence of Fourier series
, 2012 We consider the space $U(\mathbb T)$ of all continuous functions on the circle $\mathbb T$ with uniformly convergent Fourier series. We show that if $\varphi: \mathbb T\rightarrow\mathbb T$ is a continuous piecewise linear but not linear map, then $\|e ...
A. Beurling +5 more
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Advanced Engineering Materials, EarlyView.This study presents micropleated filters manufactured by needleless electrospinning. Nanofibers are deposited onto uniaxially pre‐stretched substrates that contract upon release, forming densely packed micropleats. This architecture increases effective surface area without enlarging the filter size, achieving quality factors comparable to those of ...
Aleksandr Fadeev +6 more
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On the convergence of Fourier series
International Journal of Mathematics and Mathematical Sciences, 1984 We define the space Bp={f:(−π,π]→R, f(t)=∑n=0∞cnbn(t), ∑n=0∞|cn|
Geraldo Soares de Souza
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Abel Summation of Ramanujan-Fourier Series [PDF]
, 2015 Using Abel summation the paper proves a weak form of the Wiener-Khinchin formula for arithmetic functions with point-wise convergent Ramanujan-Fourier expansions.
Washburn, John
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