On the continuous dependence of solutions to orthogonal additivity problem on given functions
Journal Title: Annales Mathematicae Silesianae - Year 2015, Vol 29, Issue
Abstract
We show that the solution to the orthogonal additivity problem in real inner product spaces depends continuously on the given function and provide an application of this fact.
Authors and Affiliations
Karol Baron
Keywords
Related Articles
- EP ID EP230390
- DOI 10.1515/amsil-2015-0002
- Views 200
- Downloads 0
On orthogonally additive functions with big graphs
Let $E$ be a separable real inner product space of dimension at least 2 and $V$ be a metrizable and separable linear topological space. We show that the set of all orthogonally additive functions mapping $E$ into $V$ and...
Numerical solution of time fractional Schrödinger equation by using quadratic B-spline finite elements
In this article, quadratic B-spline Galerkin method has been employed to solve the time fractional order Schrödinger equation. Numerical solutions and error norms $L_2$ and $L_∞$ are presented in tables.
Report of Meeting. The Sixteenth Debrecen-Katowice Winter Seminar Hernádvécse (Hungary), January 27–30, 2016
Report of Meeting. The Sixteenth Debrecen-Katowice Winter Seminar Hernádvécse (Hungary), January 27–30, 2016
An extension of a Ger’s result
The aim of this paper is to extend a result presented by Roman Ger during the 15th International Conference on Functional Equations and Inequalities. First, we present some necessary and sufficient conditions for a conti...
Generalizations of some integral inequalities for fractional integrals
In this paper we give generalizations of the Hadamard-type inequalities for fractional integrals. As special cases we derive several Hadamard type inequalities.