Results 71 to 80 of about 1,586 (179)
On Best Multiplier Approximation of k-Monotone by Trigonometric Polynomial
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
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A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate Types
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
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From Quantum AN to E8 Trigonometric Model: Space-of-Orbits View
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
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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
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The Crest factor for trigonometric polynomials. Part I: Approximation theoretical estimates
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
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Deterministic sampling of sparse trigonometric polynomials
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.
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Equivalence between various Shape Preserving Approximations of periodic functions
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
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On estimates of M-term approximations of the Sobolev class in the Lorentz space
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
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STATISTICAL SYNTHESIS OF FORECAST CHARACTERISTICS OF COMPLEX TECHNICAL SYSTEM BY TIME SERIES
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
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
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