Log-convex solutions of the second order to the functional equation \(f(x+1)=g(x)f(x)\)

DOI10.1016/j.jmaa.2006.09.060zbMath1122.39017OpenAlexW2031535987MaRDI QIDQ878509

Themistocles M. Rassias, Tiberiu Trif

Publication date: 26 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.09.060

zbMATH Keywords

gamma-functiongamma-type functional equationlog-convex functions of higher order

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Gamma, beta and polygamma functions (33B15)

Related Items (2)

Convex solutions to polynomial-like iterative equations on open intervals ⋮ Remarks on the functional equation \(f(x+1) = g(x)f(x)\) and a uniqueness theorem for the gamma function

Cites Work

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• Log-convex solutions to the functional equation \(f(x+1)=g(x)f(x):\Gamma\)-type functions
• Another Proof that Convex Functions are Locally Lipschitz
• Some properties of convex functions of higher orders
• Convex functions of higher orders in Euclidean spaces

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