The Peetre \(K\)-functional and the Riesz summability operator for the Fourier-Legendre expansions

DOI10.1006/JATH.1998.3309zbMath0949.46008OpenAlexW2027310118MaRDI QIDQ1300148

Luoqing Li

Publication date: 21 November 2000

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1998.3309

zbMATH Keywords

Riesz operatorsK-functionalPeetre \(K\)-functionalFourier-Legendre expansion

Mathematics Subject Classification ID

Interpolation between normed linear spaces (46B70) Abstract interpolation of topological vector spaces (46M35)

Related Items (1)

Approximation by Riesz means on the rotation group SO(3)

Cites Work

• Multipliers for (C,a)-bounded Fourier expansions in Banach spaces and approximation theory
• Strong converse inequality for the Bernstein-Durrmeyer operator
• Approximation by Bernstein Polynomials
• A $K$-functional and the rate of convergence of some linear polynomial operators
• Strong converse inequalities
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