Fourier Series
Fourier Series Analysis
... structures. Fourier analysis has been widely used in RF circuit simulation, where it is named harmonic balance ...paper, Fourier series analysis is applied to digital integrated circuits to model the ...
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On the Efficacy of Fourier Series Approximations for Pricing European Options
... half-range Fourier cosine series is uniformly longer than that required by the full-range Fourier series for an interval of fixed ...full-range Fourier series uses larger ...
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Application of Fourier Series for Evaluation of Roundness Profiles in Metrology
... sis. Fourier series, Fourier transforms, pseudodif- ferential operators, and wavelets are all aspects of the subject that find application in the real world problems ...via Fourier and reverse ...
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Fourier series of higher order Bernoulli functions and their applications
... the Fourier series expansion of the Bernoulli functions are useful in computing the special values of Dirichlet L-functions, we would like to see some applications to a certain gener- alization of Dirichlet ...
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Fourier series of finite products of Bernoulli and Genocchi functions
... from Fourier series ex- pansions associated with Bernoulli and Genocchi ...The Fourier series expansion of the Bernoulli and Genocchi functions are useful in computing the special values of ...
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Generalized matrix summability of a conjugate derived Fourier series
... The study of infinite matrices is important in the theory of summability and in approximation. In particular, Toeplitz matrices or regular matrices and almost regular matrices have been very useful in this context. In ...
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Regeneration of simple and complicated curves using Fourier series
... models. Fourier series method can be used among others like least square or latent Root Regression methods to do the extraction and the estimation of the suitable featured data needed for the reconstruction ...
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Diffusion in Semiconductors by Using Fourier Series Expansion Technique
... Doping by diffusion is still one of acceptable and important methods that have essential technological applications. A theoretical approach to study diffusion in semi-conductors is introduced. The diffusion equation ...
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Product Summability (E,1)(N,P_n ) of Conjugate Series of Fourier Series
... of Fourier series and its allied series was first studied by Mears 1 and then afterwards so many results deduced on the product summability of Nörlund means by a regular summability ...
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Computing Fourier Series and Power Spectrum with MATLAB
... Fourier series provides an alternate way of representing data: instead of represent- ing the signal amplitude as a function of time, we represent the signal by how much information is contained at different ...
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2. On the local properties of factored Fourier series
... the Fourier series, as far as convergence is concerned, for a particular value of x depends on the behaviour of the function in the immediate neighborhood of this point only, hence the truth of the Theorem ...
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On Double Summability of Double Conjugate Fourier Series
... Rajagopal 1 previously proved a theorem on the N ¨orlund summability of Fourier series. Result of Rajagopal 1 contained various results due to Hardy 2 , Hirokowa 3 , Hirokowa and Kayashima 4 , Pati 5 , ...
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Alternative Fourier Series Expansions with Accelerated Convergence
... the Fourier series of an analytic 2π-periodic function can actually converge at an exponential rate ...a series expansion can be seriously deteriorated or even there is no convergence in the maximum ...
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Forecasting Model For Enrolment Combining Weighted Fuzzy Time Series And Fourier Series Transform
... time series and Fourier series ...time series forecasting, namely, recurrence and ...use Fourier series to modify the residuals of the weighted FTS for improving the forecasting ...
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Fourier Series Representation of Discontinuous Functions and Its Physical Applications
... In the light of the above debate and due to the ambiguity of this problem, the aim of the present paper is to give a proof that the value of the electric field at the discontinuity point on the surface is in fact the ...
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On almost (N,p,q) summability of conjugate Fourier series
... the series was discussed by Siddiqi ...conjugate Fourier series by almost generalized Nörlund summability ...conjugate Fourier series has been ...
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DIVERGENCE OF THE FOURIER SERIES OF CONTINUOUS FUNCTIONS WITH A RESTRICTION ON THE FRACTALITY OF THEIR GRAPHS
... Since f has only a finite number of maxima and minima on [δ, π], δ > 0, it has bounded variation on this interval (and on [−π, −δ] as well). Thus, its Fourier series converges at every x ∈ [−π, π]\{0}. ...
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ON \(\Lambda\)-CONVERGENCE ALMOST EVERYWHERE OF MULTIPLE TRIGONOMETRIC FOURIER SERIES
... the Fourier series to the class L(ln + L) 2 (T), particularly, to L p (T) with p > ...the Fourier series of the function f ...the Fourier series divergent everywhere on ...
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Corrected Fourier series and its application to function approximation
... of finite discontinuities and has only a finite number of extremes, can be approximated by a uniformly convergent Fourier series and a correction function. The correction func- tion consists of algebraic ...
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On (C,2)(E,Q) Product Means of Fourier Series and its Conjugate Series
... [18] R.N. Mohapatra and B. N. Sahney, Approximation of continuous functions by their Fourier series, Mathematica; Journal L’Analyse Numerique la Theorie de I’approximation, Vol. 10, 81-87, 1981. [19] R.N. ...
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