411
0
Stability of Pexiderized quadratic functional equation on a set of measure zero
- Title
- Stability of Pexiderized quadratic functional equation on a set of measure zero
- Author
- 박춘길
- Keywords
- Pexider quadratic functional equation; Hyers-Ulam stability; first category Lebesgue measure; Baire category theorem
- Issue Date
- 2016-06
- Publisher
- INT SCIENTIFIC RESEARCH PUBLICATIONS
- Citation
- JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, v. 9, NO 6, Page. 4554-4562
- Abstract
- Let R be the set of real numbers and Y a Banach space. We prove the Hyers-Ulam stability theorem when f, h : R → Y satisfy the following Pexider quadratic inequality kf(x + y) + f(x − y) − 2f(x) − 2h(y)k ≤ , in a set Ω ⊂ R 2 of Lebesgue measure m(Ω) = 0. c 2016 All rights reserved.
- URI
- https://www.isr-publications.com/jnsa/articles-2696-stability-of-pexiderized-quadratic-functional-equation-on-a-set-of-measure-zerohttps://repository.hanyang.ac.kr/handle/20.500.11754/101262
- ISSN
- 2008-1898; 2008-1901
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
- Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
