Positivity and positivity-definiteness for Cauchy powers of linear functionals on the linear space of polynomials

DOI10.1007/s00009-024-02636-xzbMATH Open1546.46039MaRDI QIDQ6552233

Ridha Sfaxi

Publication date: 8 June 2024

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

positive linear functionalorthogonal polynomial sequenceregular linear functionalCauchy-exponential of linear functionalCauchy-power and self-power of linear functionalindex of positivity of linear functionalpositive-definite linear functionalweakly regular linear functional

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) (Spaces of) multilinear mappings, polynomials (46G25)

Cites Work

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• On inverse problem leading to second-order linear functionals
• Orthogonal polynomials and measures with end point masses
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• Rational spectral transformations and orthogonal polynomials
• Diagonal orthogonal polynomial sequences
• On Co-Recursive Orthogonal Polynomials
• Convex Analysis
• The connection between systems of polynomials orthogonal with respect to different distribution functions

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