Pólya operators. II: Complete concavity

DOI10.1007/BF01458470zbMath0533.34025MaRDI QIDQ789584

Achim Clausing

Publication date: 1984

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163880

zbMATH Keywords

Lidstone polynomialsPólya operatorstotal positivity properties

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Green's functions for ordinary differential equations (34B27) Convexity of real functions in one variable, generalizations (26A51) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Ordinary differential operators (34L99)

Related Items (1)

Polynomial two-point expansions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pólya operators. I: Total positivity
• On two-point expansion
• Positivity properties of linear differential operators
• Operator inequalities
• Maximum principles for fourth order ordinary differential inequalities
• On functions expandable in Lidstone series
• Representation of completely convex functions by the extreme-point method
• Functions analogues to completely convex functions
• Disconjugacy
• Analytic Properties of Generalized Completely Convex Functions
• Expansions of Generalized Completely Convex Functions
• Generalized Completely Convex Functions and Sturm–Liouville Operators
• Series Expansions and Linear Differential Operators
• The Existence of Eigenvalues for Integral Operators
• Modified Abel Expansion and a Subclass of Completely Convex Functions
• Completely Convex Functions and Lidstone Series

This page was built for publication: Pólya operators. II: Complete concavity