Results 71 to 80 of about 1,586 (179)

On Best Multiplier Approximation of k-Monotone by Trigonometric Polynomial

open access: yesAl-Mustansiriyah Journal of Science
The main goal of this paper is to study the degree of the best multiplier approximation of monotone unbounded functions in L_(p,λ_n)-space on the closed interval [-π,π] by means of K-functional, which we represented with, K(f,L_(p,λ_n ),W_(p,λ_n)^1,W ̃_(
Saheb K. Al-Saidy   +3 more
doaj   +1 more source

A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate Types

open access: yesMathematics, 2019
We study some properties of Sheffer sequences for some special polynomials with complex Changhee and Daehee polynomials introducing their complex versions of the polynomials and splitting them into real and imaginary parts using trigonometric polynomial ...
Dojin Kim
doaj   +1 more source

From Quantum AN to E8 Trigonometric Model: Space-of-Orbits View

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2013
A number of affine-Weyl-invariant integrable and exactly-solvable quantum models with trigonometric potentials is considered in the space of invariants (the space of orbits).
Alexander V. Turbiner
doaj   +1 more source

ON THE PROGRAM AND PRELIMINARY RESULTS OF INVESTIGATIONS OF INTRADAY AND INTERDIURNAL FLUX VARIABILITY OF EXTRAGALACTIC RADIO SOURCES AT TELESCOPES OF VENTSPILS INTERNATIONAL RADIO ASTRONOMY CENTER (VIRAC)

open access: yesRadio Physics and Radio Astronomy, 2017
Purpose: From April 2017, a monitoring program of observations has been started at the RT-16 telescope of Ventspils Radio Astronomy Center (frequencies 5, 6.1, 6.7, 8.4 GHz) to study the intraday and interdiurnal variability of extragalactic radio ...
A. L. Sukharev   +4 more
doaj   +1 more source

The Crest factor for trigonometric polynomials. Part I: Approximation theoretical estimates

open access: yesJournal of Numerical Analysis and Approximation Theory, 2001
The Chebyshev norm of a degree n trigonometric polynomial is estimated against a discrete maximum norm based on equidistant sampling points where, typically, oversampling rather than critical sampling is used. The bounds are derived from various methods
K. Jetter, G. Pfander, G. Zimmermann
doaj   +2 more sources

Deterministic sampling of sparse trigonometric polynomials

open access: yesJournal of Complexity, 2011
One can recover sparse multivariate trigonometric polynomials from few randomly taken samples with high probability (as shown by Kunis and Rauhut). We give a deterministic sampling of multivariate trigonometric polynomials inspired by Weil's exponential sum.
openaire   +3 more sources

Equivalence between various Shape Preserving Approximations of periodic functions

open access: yesResearches in Mathematics
We show that the validity of Jackson-type estimates in comonotone and coconvex approximations of continuous $2\pi$-periodic functions by trigonometric polynomials is equivalent to the validity of the corresponding estimates of approximation by continuous
D. Leviatan, O.V. Motorna, I.O. Shevchuk
doaj   +1 more source

On estimates of M-term approximations of the Sobolev class in the Lorentz space

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
In the paper spaces of periodic functions of several variables were considered, namely the Lorentz space L2,τ(Tm), the class of functions with bounded mixed fractional derivative Wr2,τ, 1 ≤ τ < ∞, and the order of the best M-term approximation of a ...
Г. Акишев   +1 more
doaj   +1 more source

STATISTICAL SYNTHESIS OF FORECAST CHARACTERISTICS OF COMPLEX TECHNICAL SYSTEM BY TIME SERIES

open access: yesНаучный вестник МГТУ ГА, 2016
The article analyses the problem of building a medium-term forecast of the recovery trend in the average. We present a method of recovery trend in the form of a polynomial whose coefficients are determined by the inverse functions which are approximated ...
N. A. Severcev   +2 more
doaj  

Fast Decreasing Trigonometric Polynomials and Applications

open access: yesJournal of Fourier Analysis and Applications
AbstractWe construct trigonometric polynomials that fast decrease towards $$\pm \pi $$ ± π . We apply them to construct a trigonometric polynomial the derivative of which interpolates the derivative of a given $$2\pi $$ 2
D. Leviatan   +2 more
openaire   +2 more sources

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