On a functional equation in actuarial mathematics

DOI10.1006/JMAA.2000.6928zbMath0971.39012OpenAlexW2000179478MaRDI QIDQ5927551

Thomas Riedel, Maciej Sablik, Prasanna K. Sahoo

Publication date: 28 October 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6928

zbMATH Keywords

actuarial mathematicsCauchy equationcomposite functional equationscontinuous solutionsdifferentiable solutionsGompertz's law of mortalityPexider equationphilandering solutions

Mathematics Subject Classification ID

Applications of statistics to actuarial sciences and financial mathematics (62P05) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12)

Related Items (2)

Generalized homogeneity of means ⋮ The thirty-ninth International symposium on functional equations, August 12--18, 2001, Sandbjerg, Denmark

Cites Work

• Unnamed Item
• On the functional equation \(f(\lambda (x)+g(y))=\mu (x)+h(x+y)\)
• On the functional equation \(\phi(x) + \phi(y) = \psi(T(x,y))\)
• Le equazioni funzionali nei fondamenti della matematica finanziaria
• Local Boundedness and Continuity for a Functional Equation on Topological Spaces
• On the functional equation $f(x) + ∑_{i = 1}^n g_i(y_i) = h(T(x, y_1, y_2,...,y_n))$

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