Hyers-Ulam Stability of Polynomial Equations

We prove the Hyers-Ulam stability of the polynomial equation 𝑎𝑛𝑥𝑛+𝑎𝑛−1𝑥𝑛−1+⋯+𝑎1𝑥+𝑎0=0. We give an affirmative answer to a problem posed by Li and Hua (2009).

Saved in:
Bibliographic Details
Main Authors: M. Bidkham, H. A. Soleiman Mezerji, M. Eshaghi Gordji
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/754120
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832560028039512064
author M. Bidkham
H. A. Soleiman Mezerji
M. Eshaghi Gordji
author_facet M. Bidkham
H. A. Soleiman Mezerji
M. Eshaghi Gordji
author_sort M. Bidkham
collection DOAJ
description We prove the Hyers-Ulam stability of the polynomial equation 𝑎𝑛𝑥𝑛+𝑎𝑛−1𝑥𝑛−1+⋯+𝑎1𝑥+𝑎0=0. We give an affirmative answer to a problem posed by Li and Hua (2009).
format Article
id doaj-art-41dab79db6694f2eb64380ed5d2a89b4
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2010-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-41dab79db6694f2eb64380ed5d2a89b42025-02-03T01:28:36ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/754120754120Hyers-Ulam Stability of Polynomial EquationsM. Bidkham0H. A. Soleiman Mezerji1M. Eshaghi Gordji2Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, IranDepartment of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, IranDepartment of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, IranWe prove the Hyers-Ulam stability of the polynomial equation 𝑎𝑛𝑥𝑛+𝑎𝑛−1𝑥𝑛−1+⋯+𝑎1𝑥+𝑎0=0. We give an affirmative answer to a problem posed by Li and Hua (2009).http://dx.doi.org/10.1155/2010/754120
spellingShingle M. Bidkham
H. A. Soleiman Mezerji
M. Eshaghi Gordji
Hyers-Ulam Stability of Polynomial Equations
Abstract and Applied Analysis
title Hyers-Ulam Stability of Polynomial Equations
title_full Hyers-Ulam Stability of Polynomial Equations
title_fullStr Hyers-Ulam Stability of Polynomial Equations
title_full_unstemmed Hyers-Ulam Stability of Polynomial Equations
title_short Hyers-Ulam Stability of Polynomial Equations
title_sort hyers ulam stability of polynomial equations
url http://dx.doi.org/10.1155/2010/754120
work_keys_str_mv AT mbidkham hyersulamstabilityofpolynomialequations
AT hasoleimanmezerji hyersulamstabilityofpolynomialequations
AT meshaghigordji hyersulamstabilityofpolynomialequations