The Stability of the Sine and Cosine Functional Equations

DOI10.2307/2048249zbMath0718.39004OpenAlexW4255740457MaRDI QIDQ5749745

László Székelyhidi

Publication date: 1990

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2048249

zbMATH Keywords

stabilityexponential functiongroupssemigroupssine functional equationcosine functional equations

Mathematics Subject Classification ID

Functional equations for complex functions (39B32)

Related Items (24)

Superstability of derivations on Banach \(\ast\)-algebras ⋮ Remarks on Stability of the Linear Functional Equation in Single Variable ⋮ Hyers-Ulam stability of functional equations in several variables ⋮ Generalization of functional equation for the square root spiral ⋮ On the stability of trigonometric functional equations in distributions and hyperfunctions ⋮ Unnamed Item ⋮ Ulam-Hyers stability of trigonometric functional equation with involution ⋮ Invariant Means in Stability Theory ⋮ On a generalized Hyers-Ulam stability of trigonometric functional equations ⋮ Stability of functional equations in single variable. ⋮ Solutions and stability of a variant of Wilson's functional equation ⋮ Stability of the Cosine–Sine Functional Equation on Amenable Groups ⋮ Hyers-Ulam stability for linear equations of higher orders ⋮ Superstability of functional equations related to spherical functions ⋮ Stability of trigonometric functional equations in generalized functions ⋮ Ulam problem for the cosine addition formula in Sato hyperfunctions ⋮ Hyers–Ulam stability on a generalized quadratic functional equation in distributions and hyperfunctions ⋮ On the stability of a pexiderized Gołąb-Schinzel equation ⋮ Stability of functional equations on hypergroups ⋮ Superstability of \(p\)-radical functional equations related to Wilson-Kannappan-Kim functional equations ⋮ A functional equation of Aczél and Chung in generalized functions ⋮ Superstability of Kannappan's and Van vleck's functional equations ⋮ On the stability of functional equations in Banach spaces ⋮ Two general theorems on superstability of functional equations

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