Polynomial two-point expansions

DOI10.1007/BF01830944zbMath0657.41018MaRDI QIDQ1110755

S. H. Smith

Publication date: 1988

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137264

zbMATH Keywords

two-point expansionLidstone seriesPólya conditionincidence schemes

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Approximation by polynomials (41A10) Convexity of real functions in one variable, generalizations (26A51) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (2)

Disconjugacy and Integral Inequalities ⋮ Polynomial approximation of \(C^M\) functions by means of boundary values and applications: A survey

Cites Work

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• Pólya operators. I: Total positivity
• Pólya operators. II: Complete concavity
• On functions expandable in Lidstone series
• Functions analogues to completely convex functions
• Analytic Properties of Generalized Completely Convex Functions
• On Certain Polynomial and Other Approximations to Analytic Functions
• On Lidstone's Series and Two-Point Expansions of Analytic Functions
• The Existence of Eigenvalues for Integral Operators
• Modified Abel Expansion and a Subclass of Completely Convex Functions
• Completely Convex Functions and Lidstone Series
• On Hermite-Birkhoff interpolation

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