Open AccessHyers-Ulam Stability of Jensen Functional Inequality inp-Banach Spaces
Author(s) -
Hark-Mahn Kim,
Kil-Woung Jun,
Eunyoung Son
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/270954
Subject(s) - mathematics , banach space , integer (computer science) , stability (learning theory) , pure mathematics , functional analysis , discrete mathematics , combinatorics , computer science , biochemistry , chemistry , machine learning , gene , programming language
We prove the Hyers-Ulam stability of the following Jensen functional inequality ∥f((x-y)/n+z)+f((y-z)/n+x)+f((z-x)/n+y)∥≤∥f((x+y+z)∥ in p-Banach spaces for any fixed nonzero integer n
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