Aspects of de La Vallée Poussin's work in approximation and its influence

DOI10.1007/BF00387727zbMath0782.01013MaRDI QIDQ685233

R. J. Nessel, Paul L. Butzer

Publication date: 24 February 1994

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

zbMATH Keywords

singular integralsapproximation theoryBernsteinLandauChebyshevJacksonde la Vallée-Poussindelayed meansTschebyscheff

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of approximations and expansions (41-03)

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Cites Work

• Multipliers with respect to spectral measures in Banach spaces and approximation. I: Radial multipliers in connection with Riesz-bounded spectral measures
• On the singular integral of de la Vallee-Poussin
• Quantitative extensions of the uniform boundedness principle
• P. L. Chebyshev (1821-1894) and his contacts with Western European scientists
• On approximation by the interpolating series of G. Valiron
• On the approximation of periodic functions by de la Vallee Poussin sums
• Best approximation and De La Vallee-Poussin sums
• Interpolationsmethoden zur Behandlung von Approximationsprozessen auf Banachräumen
• On the fundamental approximation theorems of D. Jackson, S.N. Bernstein and theorems of M. Zamansky and S.B. Stechkin
• Nikolskii-type inequalities in connection with regular spectral measures
• Linear Combinations of Bernstein Polynomials
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