Work

Some improvements on the stability results for additive functional inequalities in Banach spaces

Year: 2025

Type: article

Abstract: We discuss two functional inequalities proposed by Lu and Park (J. Inequal. Appl. 2012:294, 2012 ). Using the concept of γ -additive mappings and the results of Forti (J. Math. Anal. Appl. 295:127–133, 2004 ) we give an improvement of the stability results of these functional inequalities and obtain some hyperstability results. In some situation, we show that the estimate in our result is sharp.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-025-03411-6

Authors: Sajjatit Santawong, Satit Saejung

Institution: Khon Kaen University

Language: English

Topic: Functional Equations Stability Results

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

OpenAlex ID: W4417107174

FWCI:

Cites: 14

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