Stability of Mixed Additive–Quadratic and Additive–Drygas Functional Equations

Autor:	Chang-Kwon Choi, Bogeun Lee
Rok vydání:	2020
Předmět:	010101 applied mathematics Pure mathematics Mathematics (miscellaneous) Quadratic equation Lebesgue measure Applied Mathematics 010102 general mathematics Zero (complex analysis) Baire category theorem 0101 mathematics 01 natural sciences Stability (probability) Mathematics
Zdroj:	Results in Mathematics. 75
ISSN:	1420-9012 1422-6383
DOI:	10.1007/s00025-020-1163-z
Popis:	In this paper, using the Baire category theorem we investigate the Hyers–Ulam stability problem of mixed additive–quadratic and additive–Drygas functional equations $$\begin{aligned} 2f(x+y) + f(x-y) - 3f(x) -3f(y)&= 0,\\ 2f(x+y) + f(x-y) - 3f(x) -2f(y) -f(-y)&= 0 \end{aligned}$$on a set of Lebesgue measure zero. As a consequence, we obtain asymptotic behaviors of the functional equations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e0be63984b42f7ca9bac253d4aa71059 https://doi.org/10.1007/s00025-020-1163-z Zobrazit plný text záznamu Full text from SpringerLink