Functions with bounded nth differences

DOI10.4064/ap-43-1-93-103zbMath0436.39005OpenAlexW2049069037MaRDI QIDQ3876371

John A. Baker, Michael Henry Albert

Publication date: 1983

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap-43-1-93-103

zbMATH Keywords

Banach spacecommutative semigroupfunctional inequalityfunctions with bounded differences

Mathematics Subject Classification ID

Additive difference equations (39A10) Functional equations for functions with more general domains and/or ranges (39B52) Systems of functional equations and inequalities (39B72)

Related Items (13)

Approximate testing with error relative to input size. ⋮ Stability of multi-additive mappings in \(\beta\)-Banach spaces ⋮ Unnamed Item ⋮ Hyperstability of the Fréchet equation and a characterization of inner product spaces ⋮ A stability criterion for Fréchet's first polynomial equation ⋮ Polynomials of arithmetically homogeneous functions: stability and hyperstability ⋮ The Stability of Certain Functional Equations ⋮ A general functional equation and its stability ⋮ Stability of multi-additive mappings in non-Archimedean normed spaces ⋮ Generalized stability of multi-additive mappings ⋮ Recursive procedure in the stability of Fréchet polynomials ⋮ Certain properties of difference operator and stability of Fréchet functional equation ⋮ Remarks on the Hyers-Ulam stability of some systems of functional equations

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