Smoothness of functions versus smoothness of approximation processes (Q4997876)

scientific article; zbMATH DE number 7365343

Language	Label	Description	Also known as
English	Smoothness of functions versus smoothness of approximation processes	scientific article; zbMATH DE number 7365343

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instance of

scholarly article

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title

Smoothness of functions versus smoothness of approximation processes (English)

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published in

Bulletin of Mathematical Sciences

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publication date

30 June 2021

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full work available at URL

https://arxiv.org/abs/1903.00229

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zbMATH Keywords

measures of smoothness

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$K$-functionals

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best approximation

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Jackson and Bernstein inequalities

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Littlewood-Paley decomposition

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Fourier multipliers

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MaRDI publication profile

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cites work

Q5616992

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ASYMPTOTIC BEHAVIOR OF THE<i>L<sup>p</sup></i>-NORMS AND THE ENTROPY FOR GENERAL ORTHOGONAL POLYNOMIALS

0 references

Q5549343

0 references

Q4016573

0 references

On the fundamental approximation theorems of D. Jackson, S.N. Bernstein and theorems of M. Zamansky and S.B. Stechkin

0 references

Approximation in 𝐿𝐼𝑃(𝛼,𝑝)

0 references

Biorthogonal bases of compactly supported wavelets

0 references

Restricted nonlinear approximation

0 references

Sur l'approximation d'une fonction périodique et de ses dérivées successives par un polynôme trigonométrique et par ses dérivées successives

0 references

Q5696172

0 references

Sharp Jackson inequalities

0 references

Ten Lectures on Wavelets

0 references

Q3134552

0 references

Q4215356

0 references

Polynomial approximation in $L_ p (O<p<1)$

0 references

Q4273944

0 references

Fractional derivatives and best approximations

0 references

Moduli of smoothness and $K$-functionals in $L_ p$, $0<p<1$

0 references

Sharp Marchaud and converse inequalities in Orlicz spaces

0 references

Q3817079

0 references

NORMS OF DIRICHLET KERNELS AND SOME OTHER TRIGONOMETRIC POLYNOMIALS IN $ L_p$-SPACES

0 references

Hardy–Littlewood theorems for trigonometric series with general monotone coefficients

0 references

Q5581837

0 references

Classical Fourier Analysis

0 references

Modern Fourier Analysis

0 references

Q4843130

0 references

On equivalence of moduli of smoothness

0 references

On equivalence of moduli of smoothness of polynomials in $L_p$, $0 < p \leqslant \infty$

0 references

Discrete Modulus of Smoothness of Splines with Equally Spaced Knots

0 references

Sharp estimates for the moduli of continuity of metric projections onto weakly convex sets

0 references

Über Sätze von M. Zamansky und S.B. Steckin und ihre Umkehrungen auf dem $n$-dimensionalen Torus

0 references

Best approximations and moduli of smoothness of functions and their derivatives in $L_p$, $0 < p < 1$

0 references

On the growth of Lebesgue constants for convex polyhedra

0 references

Sharp estimates of approximation of periodic functions in Hölder spaces

0 references

Hardy–Littlewood and Ulyanov inequalities

0 references

Properties of moduli of smoothness in $L_p (\mathbb{R}^d)$

0 references

The equivalence relations between the Ditzian-Totik moduli of smoothness and best polynomial approximation in the Besov spaces

0 references

Q4188284

0 references

Sharp estimates of the Lebesgue constants of partial sums of multiple Fourier series

0 references

The Wiener algebra of absolutely convergent Fourier integrals: an overview

0 references

Besov spaces in theory of approximation

0 references

On the moduli of convexity and smoothness in Orlicz spaces

0 references

The modulus of convexity in normed linear spaces

0 references

Q5391108

0 references

Russian text ignoredLp, 0 <p < 1

0 references

Q3812702

0 references

Q5464926

0 references

Strongly unique best approximations and centers in uniformly convex spaces

0 references

The Approximation by Partial Sums of Fourier Series

0 references

Q5595759

0 references

Strongly unique best approximation in Banach spaces. II

0 references

0 references

0 references

0 references

0 references

0 references

On generalized Lipschitz classes and Fourier series

0 references

Trigonometric series with general monotone coefficients

0 references

Best approximation and moduli of smoothness: Computation and equivalence theorems

0 references

0 references

0 references

0 references

0 references

Summability of Multi-Dimensional Trigonometric Fourier Series

0 references

On riesz-type inequalities and k-functionals related to riesz potentials in

0 references

Inequalities in Banach spaces with applications

0 references

Classes de saturation de certains procédés d'approximation des séries de Fourier des fonctions continues et applications à quelques problèmes d'approximation

0 references

Q4046306

0 references

On multipliers preserving convergence of trigonometric series almost everywhere

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Identifiers

zbMATH Open document ID

1469.41015

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DOI

10.1142/S1664360720300029

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4997876