Polynomials of arithmetically homogeneous functions: stability and hyperstability

DOI10.1007/S00025-019-0981-3zbMath1406.39020OpenAlexW2912976105WikidataQ128394351 ScholiaQ128394351MaRDI QIDQ667746

Dan M. Dăianu, Cristina Mîndruţă

Publication date: 1 March 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-0981-3

zbMATH Keywords

stabilitymonomialhyperstabilityarithmetically homogeneous functionFréchet polynomial

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Difference operators (39A70) Stability theory for difference equations (39A30)

Cites Work

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• Stability of a functional equation for generalized polynomials
• A stability criterion for Fréchet's first polynomial equation
• Recursive procedure in the stability of Fréchet polynomials
• Arithmetically homogeneous functions: characterizations, stability and hyperstability
• Taylor type formula with Fréchet polynomials
• Hyperstability and superstability
• Ulam stability of operators
• Functions with bounded nth differences
• Fixed point approach to the stability of generalized polynomials
• A representation theorem for $(X_1-1)(X_2-1)...(X_n-1)$ and its applications

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