Approximate pexiderized Cauchy's additive type mappings

Autor:	Young Whan Lee
Rok vydání:	2013
Předmět:	Discrete mathematics Pure mathematics Logarithm Applied Mathematics General Mathematics Functional equation Cauchy distribution Type (model theory) Stability (probability) Exponential function Mathematics
Zdroj:	Mathematical Inequalities & Applications. :1185-1195
ISSN:	1331-4343
DOI:	10.7153/mia-16-92
Popis:	We prove the stability of the Pexiderized Cauchy's additive functional equation with a general form; f(x+y )= g(x)+h(y)+λ(x,y) where λ(x,y) is a logarithm of a pseudo exponential function. From this result, we obtain the stability with the following form; 1 1+ φ(x,y) f(x+y) e(x,y)g(x)h(y) 1+ φ(x,y), where e(x,y) is a pseudo exponential function. It is a generalized result for the stability of the Pexiderized Cauchy's functional equation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a8ba7f6dbc17957b722e5a02a1cfcee8 https://doi.org/10.7153/mia-16-92 Zobrazit plný text záznamu