On generalized \(K\)-functionals in \(L_p\) for \(0

DOI10.1007/s13540-023-00160-5zbMath1522.46029arXiv2211.12564OpenAlexW4375859265MaRDI QIDQ6073781

Yurii S. Kolomoitsev, Tat'yana V. Lomako

Publication date: 12 October 2023

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.12564

zbMATH Keywords

fractional derivativesquadrature formula\(K\)-functionalhomogeneous multipliers\(L_p\),\(0<p<1\)

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Trigonometric approximation (42A10) Fractional derivatives and integrals (26A33) Multipliers in one variable harmonic analysis (42A45) Approximation by other special function classes (41A30)

Cites Work

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• Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\)
• Exact estimates of the rate of approximation of convolution operators
• Theory of function spaces
• Fractional derivatives and best approximations
• Approximation properties in \(L_ p\), \(0<p<1\)
• On moduli of smoothness and \(K\)-functionals of fractional order in the Hardy spaces
• Moduli of smoothness and \(K\)-functionals in \(L_ p\), \(0<p<1\)
• On moduli of smoothness and averaged differences of fractional order
• Approximation by bandlimited functions, generalized $K$-functionals and generalized moduli of smoothness
• Spectral subspaces of $L^p$ for $p<1$
• Hardy–Littlewood and Ulyanov inequalities
• Quadrature Sums Involving pth Powers of Polynomials
• Best Trigonometric Approximation, Fractional Order Derivatives and Lipschitz Classes
• On riesz-type inequalities and k-functionals related to riesz potentials in
• Approximation properties of generalized Bochner-Riesz means in the Hardy spaces $ H_p$, $ 0<p\le 1$
• Smoothness of functions versus smoothness of approximation processes
• General Moduli of Smoothness and Approximation by Families of Linear Polynomial Operators
• On multipliers preserving convergence of trigonometric series almost everywhere

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