A generalized translation operator generated by the sinc function on an interval

DOI10.1134/s0081543823060032MaRDI QIDQ6154814

Vitalii Arestov, Marina Valer'evna Deikalova

Publication date: 16 February 2024

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

generalized translationsinc functioninequality of different metrics

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Operator theory (47-XX)

Cites Work

• Nikol'skii inequality for algebraic polynomials on a multidimensional Euclidean sphere
• Nikol'skii inequality between the uniform norm and \(L_q\)-norm with ultraspherical weight of algebraic polynomials on an interval
• Certain inequalities in various metrics for trigonometric polynomials and their derivatives
• Nikol'skii inequality between the uniform norm and \(L_q\)-norm with Jacobi weight of algebraic polynomials on an interval
• Nikol'skii type inequality; Bessel weight; extremal functions; extremal constants
• Inequality of different metrics for trigonometric polynomials
• On Nikol'skii type inequality between the uniform norm and the integral \(q\)-norm with Laguerre weight of algebraic polynomials on the half-line
• On one generalized translation and the corresponding inequality of different metrics
• Certain problems of closest approximation
• A CHARACTERIZATION OF EXTREMAL ELEMENTS IN SOME LINEAR PROBLEMS
• Some issues concerning approximations of functions by Fourier-Bessel sums
• Bessel harmonic analysis and approximation of functions on the half-line
• Sharp Bernstein-Nikolskii inequalities for polynomials and entire functions of exponential type
• ON ONE INEQUALITY OF DIFFERENT METRICS FOR TRIGONOMETRIC POLYNOMIALS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A generalized translation operator generated by the sinc function on an interval