Results 21 to 30 of about 4,950,422 (249)

Pythagorean harmonic summability of Fourier series

open access: yesDemonstratio Mathematica, 2021
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.
doaj   +1 more source

MULTIPLE FOURIER SERIES AND FOURIER INTEGRALS WITH NON-SEPARABLE VARIABLES

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
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
doaj   +1 more source

Generalization of the Hardy-Littlewood theorem on Fourier series

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
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
doaj   +1 more source

Rapidly Converging Series for ζ(2n+1) from Fourier Series

open access: yesAbstract 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

On Fourier series

open access: yesJournal of Numerical Analysis and Approximation Theory, 1976
Not available.
G.P. Névai
doaj   +2 more sources

On (J,pn) summability of Fourier series

open access: yesInternational 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

open access: yesInternational 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
doaj   +1 more source

A Fourier Series Approximation for Deep-water Waves

open access: yes한국해양공학회지, 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
doaj   +1 more source

Comparative assessment of crystallographic and cryo‐EM models in the Protein Data Bank

open access: yesFEBS Open Bio, EarlyView.
Raw data obtained by X‐ray crystallography or cryo‐EM result in experimental maps, ultimately fitted by atomic models. Although the physical principles are different, the final results can be viewed, compared, and evaluated in the same way. With cryogenic electron microscopy (cryo‐EM) on track to surpass X‐ray crystallography as the preferred method ...
Alexander Wlodawer   +7 more
wiley   +1 more source

Deep Learning Pose Estimation for Phenotyping of Co‐Occurring Hyperkinetic Movement Disorders

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To explore whether routine outpatient video combined with deep learning‐based pose estimation and clinically interpretable kinematic features can support multi‐label phenotyping of co‐occurring hyperkinetic movement disorders (HMDs).
Laura Cif   +17 more
wiley   +1 more source

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