Results 31 to 40 of about 4,708,954 (364)

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
doaj   +1 more source

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, Daan Huybrechs, Roel Matthysen, Roel Matthysen   +3 more
core   +3 more sources

Fractional Derivative as Fractional Power of Derivative [PDF]

, 2007
Definitions of fractional derivatives as fractional powers of derivative operators are suggested. The Taylor series and Fourier series are used to define fractional power of self-adjoint derivative operator.
Berezin F. A., Berezin F. A., Brichkov Yu. A., Caputo M., Dalechky Yu. L., Hadid S. B., Karasev M. V., Korabel N., Krasnolelsky M. A., Krasnolelsky M. A., Krein S. G., Krein S. G., Le Mehaute A., Luke Y., Maslov V. P., Momani S., Oldham K. B., Samko S. G., Tarasov V. E., Tarasov V. E., Tarasov V. E., Tarasov V. E., Tarasov V. E., Tarasov V. E., VASILY E. TARASOV, Zaslavsky G. M.   +25 more
core   +1 more source

On Fourier series

Journal of Numerical Analysis and Approximation Theory, 1976
Not available.
G.P. Névai
doaj   +2 more sources

The Wasserstein-Fourier Distance for Stationary Time Series [PDF]

IEEE Transactions on Signal Processing, 2019
We propose the Wasserstein-Fourier (WF) distance to measure the (dis)similarity between time series by quantifying the displacement of their energy across frequencies.
Elsa Cazelles, Arnaud Robert, Felipe A. Tobar   +2 more
semanticscholar   +1 more source

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
doaj   +1 more source

On the partial sums of Vilenkin-Fourier series [PDF]

, 2014
The aim of this paper is to investigate weighted maximal operators of partial sums of Vilenkin-Fourier series. Also, the obtained results we use to prove approximation and strong convergence theorems on the martingale Hardy spaces Hp, when 0 < p ≤ 1.
G. Tephnadze
semanticscholar   +1 more source

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
doaj   +2 more sources

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, Kejal Khatri, Lakshmi Narayan Mishra   +2 more
doaj   +1 more source

BMO-estimation and Almost Everywhere Exponential Summability of Quadratic Partial Sums of Double Fourier Series

, 2013
It is proved a $BMO$-estimation for quadratic partial sums of two-dimensional Fourier series from which it is derived an almost everywhere exponential summability of quadratic partial sums of double Fourier ...
Goginava, U., Gogoladze, L., Karagulyan, G.   +2 more
core   +1 more source