Classes of convolutions with a singular family of kernels: Sharp constants for approximation by spaces of shifts

DOI10.1090/SPMJ/1646zbMath1462.41005OpenAlexW3134356191MaRDI QIDQ5858893

O. L. Vinogradov

Publication date: 15 April 2021

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1646

zbMATH Keywords

convolutionsharp constantsspaces of shiftsAkhiezer-Kreĭn-Favard type inequalities

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25) Approximation by arbitrary linear expressions (41A45) Best constants in approximation theory (41A44)

Related Items (2)

Sharp estimates for the mean-square approximations of convolution classes by shift spaces on the axis ⋮ Fourier analysis in spaces of shifts

Cites Work

• Zeros of the Zak transform of totally positive functions
• Sharp inequalities for approximations of classes of periodic convolutions by odd-dimensional subspaces of shifts
• Inequalities for upper bounds of functionals
• On extremal subspaces for classes of functions defined by kernels that do not increase oscillation
• Sharp inequalities for approximations of convolution classes on the real line as the limit case of inequalities for periodic convolutions
• Zeros of the Zak transform of averaged totally positive functions
• A nonperiodic spline analog of the Akhiezer-Krein-Favard operators
• On shifted cardinal interpolation by Gaussians and multiquadrics
• Multivariate cardinal interpolation with radial-basis functions
• Schoenberg's exponential Euler spline curves
• MEAN DIMENSION, WIDTHS, AND OPTIMAL RECOVERY OF SOBOLEV CLASSES OF FUNCTIONS ON THE LINE
• Sharp constants for approximations of convolution classes with an integrable kernel by spaces of shifts
• Sharp Jackson-type inequalities for approximations of classes of convolutions by entire functions of exponential type
• Extremal properties of entire functions of exponential type
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