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.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Articles |
Authors | |
Publication Date | September 14, 2020 |
Published in Issue | Year 2020 |