Results 11 to 20 of about 139,972 (262)
On the Nonconvergence of Fourier Series [PDF]
and (ii)' an K log n/n, for some K>0, then the series (1.1), at t=0, converges. Wang [2] has also framed examples showing that k in condition (i) of Theorem A cannot be replaced by any k'
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Fourier Series Approximation in Besov Spaces
Defined on the top of classical Lp-spaces, the Besov spaces of periodic functions are good at encoding the smoothness properties of their elements.
Birendra Singh, Uaday Singh
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Reactive loading function on tunnel excavation contour in rock mass [PDF]
Investigation of the stress field around the cavity that is loaded or partially loaded at the inner surface by the rotationally symmetric loading is still the contemporary problem in the theory of elasticity.
Lukić Dragan, Anagnosti Petar
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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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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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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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Not available.
G.P. Névai
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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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The reciprocal of a Fourier series [PDF]
Edrei and Szego5 [1] have posed the following problem: Giiven the Foiurier coefficients of a function G(x) find the Fourier coe/ftcients of the reciprocal of the function without actually evaluating G(x). They were able to solve this problem in the case that G(x) ?0.
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