ADDITIVE rho-FUNCTIONAL INEQUALITIES IN NON-ARCHIMEDEAN NORMED SPACES

Title
ADDITIVE rho-FUNCTIONAL INEQUALITIES IN NON-ARCHIMEDEAN NORMED SPACES
Authors
박춘길
Keywords
Hyers-Ulam stability; additive rho-functional equation; additive rho-functional inequality; non-Archimedean normed space
Issue Date
2015-06
Publisher
ELEMENT
Citation
JOURNAL OF MATHEMATICAL INEQUALITIES, v. 9, NO 2, Page. 397-407
Abstract
In this paper, we solve the additive rho-functional inequalities parallel to f(x+y) - f(x) - f(y)parallel to ˂= parallel to rho (2f(x +y/2) - f(x) - f(y))parallel to parallel to 2f(x + y)/2) - f(x) - f(y)parallel to ˂= parallel to rho (f(x + y) - f(x) - f(y))parallel to, where rho is a fixed non-Archimedean number with vertical bar rho vertical bar ˂ 1. Furthermore, we prove the Hyers-Ulam stability of the additive rho-functional inequalities (0.1) and (0.2) in non-Archimedean Banach spaces and prove the Hyers-Ulam stability of additive rho-functional equations associated with the additive rho-functional inequalities (0.1) and (0.2) in non-Archimedean Banach spaces.
URI
http://jmi.ele-math.com/09-33/Additive-rho-functional-inequalities-in-non-Archimedean-normed-spaceshttp://hdl.handle.net/20.500.11754/25858
ISSN
1846-579X
DOI
http://dx.doi.org/10.7153/jmi-09-33
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
Files in This Item:
Additive ρ-functional inequalities in non-Archimedean normed spaces.pdfDownload
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE