scientific article; zbMATH DE number 7240535

zbMath1463.42001MaRDI QIDQ5118536

Sergei Yu. Artamonov

Publication date: 26 August 2020

Full work available at URL: http://mathnet.ru/eng/emj293

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

\(K\)-functionalmodulus of smoothnessRiesz derivativeBernstein space

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Multipliers in one variable harmonic analysis (42A45) Conjugate functions, conjugate series, singular integrals (42A50) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (1)

Approximation by families of generalized sampling series, realizations of generalized \(\mathcal{K} \)-functionals and generalized moduli of smoothness

Cites Work

• Nonperiodic modulus of smoothness corresponding to the Riesz derivative
• Direct Jackson-type estimate for the general modulus of smoothness in the nonperiodic case
• The sampling theorem and linear prediction in signal analysis
• A direct theorem of approximation theory for a general modulus of smoothness
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