Hyers-Ulam-Rassias stability of functional equations with parameters

This paper explores the Hyers-Ulam stability of generalized Jensen additive and quadratic functional equations in \(β\)-homogeneous \(F\)-space, showing that approximately satisfying mappings have a unique exact approximating counterpart within a specific bound.

Publication Details

Journal
ArXiv.org
Published
2025-08-14
Primary Topic
Functional Equations Stability Results
Type
article
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article

Hyers-Ulam-Rassias stability of functional equations with parameters

ArXiv.org
Functional Equations Stability Results
article

Hyers-Ulam-Rassias stability of functional equations with parameters

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Abstract

This paper explores the Hyers-Ulam stability of generalized Jensen additive and quadratic functional equations in \(β\)-homogeneous \(F\)-space, showing that approximately satisfying mappings have a unique exact approximating counterpart within a specific bound.

ArXiv.org
Openalex Percentile: Top 38%
Functional Equations Stability Results
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Hyers-Ulam-Rassias stability of functional equations with parameters · ArXiv.org (2025) | TGRS Research Map | TGRS