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Density of quantized approximations (Q6492352)

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scientific article; zbMATH DE number 7837972

Language	Label	Description	Also known as
English	Density of quantized approximations	scientific article; zbMATH DE number 7837972

Statements

scholarly article

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Density of quantized approximations (English)

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Konstantin S. Shklyaev

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Russian Mathematical Surveys

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publication date

25 April 2024

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zbMATH Keywords

approximation

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additive semigroup

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density

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Banach space

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simple partial fractions

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shifts

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integer coefficients

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MaRDI profile type

MaRDI publication profile

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Chui's conjecture in Bergman spaces

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Geometric Approximation Theory

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Additive subgroups of topological vector spaces

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The dilation factor of the Peano-Hilbert curve

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Estimates of the distances to direct lines and rays from the poles of simplest fractions bounded in the norm of \(L_p\) on these sets

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Approximation by simple partial fractions on the semi-axis

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Approximation by simple partial fractions with constraints on the poles

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Density of a semigroup in a Banach space

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Approximation by simple partial fractions with constraints on the poles. II

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Approximation by sums of shifts of a single function on the circle

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Density of sums of shifts of a single vector in sequence spaces

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Approximation by sums of the form \(\sigma_k\lambda_k h(\lambda_kz)\) in the disk

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Greedy approximation by arbitrary sets

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Example of divergence of a greedy algorithm with respect to an asymmetric dictionary

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Approximation by simple partial fractions: universal sets of poles

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Convergence to zero of exponential sums with positive integer coefficients and approximation by sums of shifts of a single function on the line

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Quantitative expressions for the connectedness of sets in \(\mathbb{R}^n\)

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Approximation by simple partial fractions in unbounded domains

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Coefficient quantization for frames in Banach spaces

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Un exemple de sous-groupe additif de l'espace de Hilbert

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On Approximation in the Bers Spaces

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On the extrapolation of analytic functions by sums of the form \(\Sigma_k\lambda_k h(\lambda_kz)\)

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Least deviation of logarithmic derivatives of algebraic polynomials from zero

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Approximation by amplitude and frequency operators

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ESTIMATES OF THE DISTANCES FROM THE POLES OF LOGARITHMIC DERIVATIVES OF POLYNOMIALS TO LINES AND CIRCLES

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Estimates of derivatives of simplest fractions and other questions

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Approximation properties of sums of the form \(\Sigma _k \lambda _k h (\lambda _k z)\)

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Approximation by simple fractions

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Extremal and approximative properties of simple partial fractions

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Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order

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Geometry of Banach spaces. Selected topics

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Subgroups of Hilbert spaces

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Density of sums of shifts of a single function in Hardy spaces on the half-plane

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Density of derivatives of simple partial fractions in Hardy spaces in the half-plane

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Multidimensional analogs of theorems about the density of sums of shifts of a single function

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Approximation by polynomials with restricted zeros

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Integer expansion in systems of translates and dilates of a single function

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Conditionally convergent series in a uniformly smooth Banach space

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Sequences of analytic functions and their zeros

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Homotopically non-trivial additive subgroups of Hilbert spaces

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Best approximation rate of constants by simple partial fractions and Chebyshev alternance

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Approximation to constant functions by electrostatic fields due to electrons and positrons

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A lower bound for the L_2[-1,1]-norm of the logarithmic derivative of polynomials with zeros on the unit circle

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On the rate of approximation in the unit disc of -functions by logarithmic derivatives of polynomials with zeros on the boundary

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Extremal properties of logarithmic derivatives of polynomials

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Rational approximations of Lipschitz functions from the Hardy class on the line

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A Newman type bound for \(L_p[-1,1]\)-means of the logarithmic derivative of polynomials having all zeros on the unit Circle

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Asymptotically neutral distributions of electrons and polynomial approximation

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Approximation properties of the most simple fractions

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Polynomials with zeros on a rectifiable Jordan curve

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Limits of rational functions

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A Lower Bound for an Area Integral

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On a semigroup problem

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Asymptotically Neutral Families in $E^3 $

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An Approximation of Harmonic Functions in $E^3$ by Potentials of Unit Charges

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Approximation by simple partial fractions and the Hilbert transform

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On a Property of Rational Functions. II

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Note on a problem of Q. I. Rahman and P. Turán

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Density of the semigroup generated by curves through zero in a Banach space

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The problem of density on \(L^2(G)\)

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Greedy Approximation

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Tauberian theorems

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Identifiers

10.4213/rm10115e

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6492352

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