A functional equation which characterizes polynomial operators with applications to uniqueness†

DOI10.1080/00036817508839104zbMath0335.39003OpenAlexW2168865921WikidataQ58288954 ScholiaQ58288954MaRDI QIDQ4102247

M. Zuhair Nashed

Publication date: 1975

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036817508839104

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Functional calculus for linear operators (47A60) Functional equations for functions with more general domains and/or ranges (39B52) General theory of functional equations and inequalities (39B05)

Related Items (1)

On the characterization of polynomials and rational functions using divided differences

Cites Work

• On a mean value theorem for vectorvalued functions, with applications to uniqueness theorems for 'right-hand-derivative' equations
• Lagrange and Hermite interpolation in Banach spaces
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