Results 71 to 80 of about 4,676,398 (193)
Shock and Vibration, 2018 A series solution for the transverse vibration of Mindlin rectangular plates with elastic point supports around the edges is studied. The series solution for the problem is obtained using improved Fourier series method, in which the vibration ...
Fuzhen Pang +5 more
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Summability of Multi-Dimensional Trigonometric Fourier Series
, 2012 We consider the summability of one- and multi-dimensional trigonometric Fourier series. The Fej{é}r and Riesz summability methods are investigated in detail. Different types of summation and convergence are considered. We will prove that the maximal operator of the summability means is bounded from the Hardy space $H_p$ to $L_p$, for all $p>p_0 ...
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The Trigonometrical Series of Fourier: A Visual Approximation
Procedia - Social and Behavioral Sciences, 2010 AbstractThis work gives an account of the staging of a didactic proposal for the construction of the notion of Trigonometric Fourier Series (TFS), with the aim of promoting in the student that the mathematical object has meaning and significance to the engineer in training. The theoretical perspective is the social construction of knowledge, identified
Peraltaa, María de Lourdes Rodríguez +1 more
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Efficient by Precision Algorithms for Approximating Functions from Some Classes by Fourier Series
Кібернетика та комп'ютерні технологіїIntroduction. The problem of approximation can be considered as the basis of computational methods, namely, the approximation of individual functions or classes of functions by functions that are in some sense simpler than the functions being ...
Olena Kolomys
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A density theorem with an application to gap power series [PDF]
, 1970 Let N be a set of positive integers and let $F(z)=\Sigma \ A_{n}z^{n}$ be an entire function for which $A_{n}=0\ (n\not\in N)$. It is reasonable to expect that, if D denotes the density of the set N in some sense, then F(z) will behave somewhat similarly
Binmore, K.G., K. G. Binmore
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Approximation of signals (functions) belonging to the weighted W(Lp,ξ(t))-class by linear operators
International Journal of Mathematics and Mathematical Sciences, 2006 Mittal and Rhoades (1999–2001) and Mittal et al. (2006) have initiated the studies of error estimates En(f) through trigonometric Fourier approximations (TFA) for the situations in which the summability matrix T does not have monotone rows. In this paper,
M. L. Mittal +2 more
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Convergence properties of one and multidimensional trigonometric Fourier series
In this work, first of all, we study the convergence properties of one and multidimensional trigonometric Fourier series. It begins by discussing fundamental concepts such as vec- tor spaces, function spaces, and interpolation theorems.
Allauca Guananga , Steven Gerónimo
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Discrete Fourier Analysis and Chebyshev Polynomials with G2 Group
Symmetry, Integrability and Geometry: Methods and Applications, 2012 The discrete Fourier analysis on the 30°-60°-90° triangle is deduced from the corresponding results on the regular hexagon by considering functions invariant under the group G2, which leads to the definition of four families generalized Chebyshev ...
Huiyuan Li, Jiachang Sun, Yuan Xu
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Absolute convergence of double trigonometric Fourier series and Walsh-Fourier Series [PDF]
, 2014 In the first part of our theses we give sufficient conditions for the absolute convergence of the double Fourier series of f in terms of moduli of continuity, of bounded variation in the sense of Vitali or Hardy and Krause, and of the mixed partial derivative in case f is an absolutely continuous function.
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Rational trigonometric approximations using Fourier series partial sums [PDF]
, 1993 A class of approximations (S(sub N,M)) to a periodic function f which uses the ideas of Pade, or rational function, approximations based on the Fourier series representation of f, rather than on the Taylor series representation of f, is introduced and ...
Geer, James F.
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