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Journal of Inequalities and Applications
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Euler-Lagrange Type Cubic Operators and Their Norms on Space

Journal of Inequalities and Applications volume 2008, Article number: 195137 (2008) Cite this article

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 and Affiliations

  1. Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabil, P.O. Box 56199-11367, Ardabil, Iran

    Abbas Najati

  2. Department of Mathematics, University of Maragheh, P.O. Box 55181-83111, Maragheh, East Azarbayjan, Iran

    Asghar Rahimi

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  1. Abbas Najati
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  2. Asghar Rahimi
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Correspondence to Abbas Najati.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Najati, A., Rahimi, A. Euler-Lagrange Type Cubic Operators and Their Norms on Space. J Inequal Appl 2008, 195137 (2008). https://doi.org/10.1155/2008/195137

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

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