Open Access

Euler-Lagrange Type Cubic Operators and Their Norms on Space

Journal of Inequalities and Applications20082008:195137

https://doi.org/10.1155/2008/195137

Received: 17 April 2008

Accepted: 1 July 2008

Published: 14 July 2008

Abstract

We will introduce linear operators and obtain their exact norms defined on the function spaces and . These operators are constructed from the Euler-Lagrange type cubic functional equations and their Pexider versions.

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Authors’ Affiliations

(1)
Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabil
(2)
Department of Mathematics, University of Maragheh

Copyright

© A. Najati and A. Rahimi. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.