Results 21 to 30 of about 752,843 (256)
Pythagorean harmonic summability of Fourier series
This paper explores the possibility for summing Fourier series nonlinearly via the Pythagorean harmonic mean. It reports on new results for this summability with the introduction of new concepts like the smoothing operator and semi-harmonic summation ...
Haidar Nassar H. S.
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MULTIPLE FOURIER SERIES AND FOURIER INTEGRALS WITH NON-SEPARABLE VARIABLES
Background. Integral transforms for functions of several variables are an actively developing area of mathematical analysis. Numerous applications in integral transforms method for solving equations of mathematical physics, in signal processing of ...
O. E. Yaremko +2 more
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Generalization of the Hardy-Littlewood theorem on Fourier series
In the theory of one-dimensional trigonometric series, the Hardy-Littlewood theorem on Fourier series with monotone Fourier coefficients is of great importance.
S. Bitimkhan
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Rapidly Converging Series for ζ(2n+1) from Fourier Series
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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Not available.
G.P. Névai
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Fast Algorithms for the computation of Fourier Extensions of arbitrary length [PDF]
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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Local properties of Fourier series
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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On (J,pn) summability of Fourier series
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
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
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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