Ulam Stability in Real Inner-Product Spaces

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Constructive Mathematical Analysis
Volume:3 Issue:3
Ulam Stability in Real Inner-Product Spaces

Ulam Stability in Real Inner-Product Spaces

Authors : Bianca MOSNEGUTU, Alexandra MǍDUTǍ

Pages : 113-115

Doi:10.33205/cma.758854

View : 12 | Download : 7

Publication Date : 2020-09-14

Article Type : Research Paper

Abstract :Roughly speaking an equation is called Ulam stable if near each approximate solution of the equation there exists an exact solution. In this paper we prove that Cauchy-Schwarz equation, Ortogonality equation and Gram equation are Ulam stable. This paper is concerned with the Ulam stability of some classical equations arising in thecontext of inner-product spaces. For the general notion of Ulam stability see, e.q., [1]. Roughlyspeaking an equation is called Ulam stable if near every approximate solution there exists anexact solution; the precise meaning in each case presented in this paper is described in threetheorems. Related results can be found in [2, 3, 4]. See also [5] for some inequalities in innerproduct spaces.
Keywords : Ulam stability, Ortogonality equation, Gram equation

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.