Results 41 to 50 of about 4,663,060 (356)
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
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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
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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 +2 more
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Power series as Fourier series
Rocky Mountain Journal of Mathematics, 2022 Some spelling mistakes and minor typos corrected.
Chakrabarti, Debraj, Dawn, Anirban
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Beurling algebra analogues of the classical theorems of Wiener and Levy on absolutely convergent Fourier series [PDF]
, 2003 Let $f$ be a continuous function on the unit circle $\Gamma$, whose Fourier series is $\omega$-absolutely convergent for some weight $\omega$ on the set of integers $\mathcal{Z}$.
Bhatt, S. J., Dedania, H. V.
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A Fourier Series Approximation for Deep-water Waves
한국해양공학회지, 2022 Dean (1965) proposed the use of the root mean square error (RMSE) in the dynamic free surface boundary condition (DFSBC) and kinematic free-surface boundary condition (KFSBC) as an error evaluation criterion for wave theories.
JangRyong Shin
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, 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. +2 more
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International Journal of Adaptive Control and Signal Processing, EarlyView.Workflow of the parameter optimization process for ITSC fault detection, applying Differential Evolution optimization and the Smooth Pseudo Wigner‐Ville Distribution for signal processing. The optimized parameters are then used in the failure identification pipeline, which combines the signal processing with a YOLO‐based architecture for fault severity
Rafael Martini Silva +4 more
wiley +1 more source
Multifractal behavior of polynomial Fourier series [PDF]
, 2012 We prove non-trivial upper and lower bounds for the "Spectrum of Singularities" of Fourier Series with polynomial frequencies. The Spectrum of Singularities of a function f gives the Hausdorff dimension of the set of points with a given H\"older exponent
Chamizo, Fernando, Ubis, Adrián
core
On uniform convergence of Fourier series
, 2012 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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