On the stability of a system of functional equations characterizing generalized hyperbolic and trigonometric functions

DOI10.1007/BF01855886zbMath0774.39007OpenAlexW2073501848MaRDI QIDQ1801347

Jens Schwaiger, Wolfgang Förg-Rob

Publication date: 18 July 1993

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137529

zbMATH Keywords

stabilityhyperbolic functionstrigonometric functionssystem of functional equations

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Functional equations for complex functions (39B32) Exponential and trigonometric functions (33B10)

Related Items (7)

Groups acting on circulant matrices ⋮ On the stability of some functional equations for generalized hyperbolic functions and for the generalized cosine equation ⋮ Hyers-Ulam stability of functional equations in several variables ⋮ Unnamed Item ⋮ A SYSTEM OF FUNCTIONAL EQUATIONS SATISFIED BY COMPONENTS OF A QUADRATIC FUNCTION AND ITS STABILITY ⋮ Generalized hyperbolic functions, circulant matrices and functional equations ⋮ On the stability of functional equations in Banach spaces

Cites Work

• Unnamed Item
• Über das Additionstheorem der zyklischen Funktionen
• The stability of multiplicative semigroup homomorphisms to real normed algebras.
• On generalized hyperbolic functions and their characterization by functional equations
• The Stability of the Sine Equation
• The Stability of the Cosine Equation
• The Stability of the Equation f(x + y) = f(x)f(y)

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