Results 11 to 20 of about 79,804 (306)

Alternative Method to Estimate the Fourier Expansions and Its Rate of Change

open access: yesMathematics, 2022
This paper presents a methodology to obtain the Fourier coefficients (FCs) and the derivative Fourier coefficients (DFCs) from an input signal. Based on the Taylor series that approximates the input signal into a trigonometric signal model through the ...
Johnny Rodríguez-Maldonado   +2 more
doaj   +1 more source

Two-Dimensional Hardy–Littlewood Theorem for Functions with General Monotone Fourier Coefficients [PDF]

open access: yes, 2023
Altres ajuts: acords transformatius de la UABWe prove the Hardy-Littlewood theorem in two dimensions for functions whose Fourier coefficients obey general monotonicity conditions and, importantly, are not necessarily positive. The sharpness of the result
Kristina Oganesyan, Oganesyan, Kristina
core   +1 more source

Coefficients of multiple Fourier-Haar series and variational modulus of continuity

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
In this paper, we introduce the concept of a variational modulus of continuity for functions of several variables, give an estimate for the sum of the coefficients of a multiple Fourier-Haar series in terms of the variational modulus of continuity, and ...
T.B. Akhazhanov   +3 more
doaj   +1 more source

The minimality of mean square error in chirp approximation using fractional fourier series and fractional fourier transform

open access: yesScientific Reports, 2022
Chirps are familiar in nature, have a built-in resistance to noise and interference, and are connected to a wide range of highly oscillatory processes.
Omar T. Bafakeeh   +9 more
doaj   +1 more source

ANALYTIC FUNCTIONS OF INFINITE ORDER IN HALF-PLANE

open access: yesПроблемы анализа, 2022
J. B. Meles (1979) considered entire functions with zeros restricted to a finite number of rays. In particular, it was proved that if 𝑓 is an entire function of infinite order with zeros restricted to a finite number of rays, then its lower order ...
K. G. Malyutin   +2 more
doaj   +1 more source

On the Combination of Harmonics and Polynoms in Econometric Modeling of RUB/AZN Exchange Rate

open access: yesСтатистика и экономика, 2022
Conducting a combinational polynomial and spectral analysis of time series formed on the basis of daily observations of changes in the RUB/AZN exchange rate with pronounced fluctuations for the period 11.05.2017- 02.11.2018 based on computer econometric ...
L. M. Mamedova
doaj   +1 more source

Fourier coefficients associated with the Riemann zeta-function

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2016
We study the Riemann zeta-function $\zeta(s)$ by a Fourier series method. The summation of $\log|\zeta(s)|$ with the kernel $1/|s|^{6}$ on the critical line $\mathrm{Re}\; s = \frac{1}{2}$ is the main result of our investigation.
Yu.V. Basiuk, S.I. Tarasyuk
doaj   +1 more source

On the Behavior of the Fourier Coefficients [PDF]

open access: yesProceedings of the American Mathematical Society, 1963
)= r(3 + 1)t-(t), A3> 1, and define T'Ia(t), a(t) ?a(t) and Ga(t) in a similar way. 1.2. In 1930 it was proved by Bosanquet [3] that if 4a(t) )0, as t->O, for ax>0, then the Fourier series of f(6), at 0=x, is summable (C, ax+6) for every 8>0. This result however breaks down for 5=0 [15].
openaire   +1 more source

Convergence in $L^p[0,2\pi]$-metric of logarithmic derivative and angular $\upsilon$-density for zeros of entire function of slowly growth

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2015
The subclass of a zero order entire function $f$ is pointed out for which the existence of angular $\upsilon$-density for zeros of entire function of zero order is equivalent to convergence in $L^p[0,2\pi]$-metric of its  logarithmic derivative.
M.R. Mostova, M.V. Zabolotskyj
doaj   +1 more source

Table of Fourier Coefficients

open access: yesJournal of Mathematics and Physics, 1943
Koeffizienten bezüglich \(x^k\) für \(k = 0\,(1)\,10\) und \(n = 1\,(1)\,100\) mit 10 D.
Lowan, Arnold N., Laderman, Jack
openaire   +3 more sources

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