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ADDITIVE rho-FUNCTIONAL INEQUALITIES IN MATRIX NORMED SPACES

Title
ADDITIVE rho-FUNCTIONAL INEQUALITIES IN MATRIX NORMED SPACES
Author
박춘길
Keywords
Hyers-Ulam stability; additive rho-functional equation; additive rho-functional inequality; matrix normed space
Issue Date
2015-12
Publisher
EUDOXUS PRESS
Citation
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v. 19, NO 6, Page. 939-946
Abstract
In [22], Kim et al. introduced and investigated the following additive rho-functional inequalities parallel to f(x+y+z) - f(x) - f(y) - f(z)parallel to (0.1) ˂=parallel to rho(2f(x+y/2+z) - f(x) - f(y) - 2f(z)parallel to, parallel to 2f(x+y/2+z) - f(x)-f(y) - 2f(z)parallel to (0.2) ˂=parallel to rho(2f(x+y+z/2) - f(x) - f(y) - f(z))parallel to in complex Banach spaces. We prove the Hyers-Ulam stability of the additive rho-functional inequalities (0.1) and (0.2) in complex matrix normed 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 complex matrix normed spaces.
URI
https://www.researchgate.net/profile/Ather_Qayyum/publication/269978186_Some_New_Generalized_Results_on_Ostrowski_Type_Integral_Inequalities_With_Application/links/54c709350cf289f0ceccc70e.pdf#page=939http://hdl.handle.net/20.500.11754/30220
ISSN
1521-1398; 1572-9206
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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