Our aim in this note is to study the Hyers -Ulam stability and we investigate the Hyers-Ulam stability of generalized Jensen's Functional Equation in Banach Spaces: f ((x + y)/2) = (f(x) + f(y))/2
| Published in | Pure and Applied Mathematics Journal (Volume 3, Issue 4) |
| DOI | 10.11648/j.pamj.20140304.13 |
| Page(s) | 92-94 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2014. Published by Science Publishing Group |
Hyers-Ulam Stability, Jensen's Functional Equation, Approximation Theory
| [1] | T. Aoki, on the stability of the linear transformation in banach spaces, j. Math. Soc.Japan, 2(1950)64-66.J. Clerk Maxwell, A Treatise on Electricity and Magnetism, 3rd ed., vol. 2. Oxford: Clarendon, 1892, pp.68–73. |
| [2] | I D. H. Hyers."on the stability of the linear functional equation, Proc. Nat. Acad. Sci. U.S.A.27(1941),222-224. |
| [3] | Z. Kominek, on a local stability of the jensen functional EQUATION, Demonstratio Math., 22 (1989),499-507. |
| [4] | R TH.M. Rassiass, on the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72(1978),297-300. |
| [5] | M. Ulam, A Collection of Mathematical Problems, Interscience Tracts in Pure and Applied Mathematics, no. 8, Interscience, New York, NY, USA, 1960. 1 . |
APA Style
Seyed Habib Shakoory. (2014). Stability of a Jensen's Functional Equation in Banach Spaces. Pure and Applied Mathematics Journal, 3(4), 92-94. https://doi.org/10.11648/j.pamj.20140304.13
ACS Style
Seyed Habib Shakoory. Stability of a Jensen's Functional Equation in Banach Spaces. Pure Appl. Math. J. 2014, 3(4), 92-94. doi: 10.11648/j.pamj.20140304.13
AMA Style
Seyed Habib Shakoory. Stability of a Jensen's Functional Equation in Banach Spaces. Pure Appl Math J. 2014;3(4):92-94. doi: 10.11648/j.pamj.20140304.13
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Download@article{10.11648/j.pamj.20140304.13,
author = {Seyed Habib Shakoory},
title = {Stability of a Jensen's Functional Equation in Banach Spaces},
journal = {Pure and Applied Mathematics Journal},
volume = {3},
number = {4},
pages = {92-94},
doi = {10.11648/j.pamj.20140304.13},
url = {https://doi.org/10.11648/j.pamj.20140304.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20140304.13},
abstract = {Our aim in this note is to study the Hyers -Ulam stability and we investigate the Hyers-Ulam stability of generalized Jensen's Functional Equation in Banach Spaces: f ((x + y)/2) = (f(x) + f(y))/2},
year = {2014}
}
TY - JOUR T1 - Stability of a Jensen's Functional Equation in Banach Spaces AU - Seyed Habib Shakoory Y1 - 2014/09/20 PY - 2014 N1 - https://doi.org/10.11648/j.pamj.20140304.13 DO - 10.11648/j.pamj.20140304.13 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 92 EP - 94 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.20140304.13 AB - Our aim in this note is to study the Hyers -Ulam stability and we investigate the Hyers-Ulam stability of generalized Jensen's Functional Equation in Banach Spaces: f ((x + y)/2) = (f(x) + f(y))/2 VL - 3 IS - 4 ER -
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