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HYERS-ULAM-RASSIAS TYPE STABILITY OF POLYNOMIAL EQUATIONS

Year 2016, Volume: 4 Issue: 1 , 88 - 91 , 01.04.2016
https://izlik.org/JA74DZ58DJ

Abstract

In this paper we introduce the concept of Hyers-Ulam-Rassias stability of polynomial equations and then we show that if x is an approximate solution of the equation anxn + an􀀀1xn􀀀1 + :::a1x + a0, then there exists an exact solution of the equation near to x.

References

  • [1] M. Bikhdam, H. A. Soleiman Mezerji and M. Eshaghi Gordji, Hyers-Ulam stability of power series equations, Abstract and Applied Analysis, Vol: 2011 (2011), 6 pages.
  • [2] Y. Li and L.Hua, Hyers-Ulam stability of a polynomial equation, Banach J. Math. Anal. Vol: 3, No. 2 (2009), 86{90.
  • [3] D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci., U.S.A. Vol: 27 (1941), 222{224.
  • [4] D.H. Hyers, G.Isac and Th.M. Rassias, Stability of functional equations in several variables, Birkhauser, Basel, 1998.
  • [5] D.H. Hyers and Th.M. Rassias, Approximate homomorphisms, Aequationes Math. Vol: 44, No. 2-3 (1992), 125{153.
  • [6] Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., Vol: 6 (1978), 297{300.
  • [7] S. M. Ulam, Problems in modern mathematics, Chap. VI, Science eds., Wiley, New-York, 1960.

Year 2016, Volume: 4 Issue: 1 , 88 - 91 , 01.04.2016
https://izlik.org/JA74DZ58DJ

Abstract

References

  • [1] M. Bikhdam, H. A. Soleiman Mezerji and M. Eshaghi Gordji, Hyers-Ulam stability of power series equations, Abstract and Applied Analysis, Vol: 2011 (2011), 6 pages.
  • [2] Y. Li and L.Hua, Hyers-Ulam stability of a polynomial equation, Banach J. Math. Anal. Vol: 3, No. 2 (2009), 86{90.
  • [3] D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci., U.S.A. Vol: 27 (1941), 222{224.
  • [4] D.H. Hyers, G.Isac and Th.M. Rassias, Stability of functional equations in several variables, Birkhauser, Basel, 1998.
  • [5] D.H. Hyers and Th.M. Rassias, Approximate homomorphisms, Aequationes Math. Vol: 44, No. 2-3 (1992), 125{153.
  • [6] Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., Vol: 6 (1978), 297{300.
  • [7] S. M. Ulam, Problems in modern mathematics, Chap. VI, Science eds., Wiley, New-York, 1960.
There are 7 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

N. Eghbalı

Submission Date July 10, 2014
Publication Date April 1, 2016
IZ https://izlik.org/JA74DZ58DJ
Published in Issue Year 2016 Volume: 4 Issue: 1

Cite

APA Eghbalı, N. (2016). HYERS-ULAM-RASSIAS TYPE STABILITY OF POLYNOMIAL EQUATIONS. Konuralp Journal of Mathematics, 4(1), 88-91. https://izlik.org/JA74DZ58DJ
AMA 1.Eghbalı N. HYERS-ULAM-RASSIAS TYPE STABILITY OF POLYNOMIAL EQUATIONS. Konuralp J. Math. 2016;4(1):88-91. https://izlik.org/JA74DZ58DJ
Chicago Eghbalı, N. 2016. “HYERS-ULAM-RASSIAS TYPE STABILITY OF POLYNOMIAL EQUATIONS”. Konuralp Journal of Mathematics 4 (1): 88-91. https://izlik.org/JA74DZ58DJ.
EndNote Eghbalı N (April 1, 2016) HYERS-ULAM-RASSIAS TYPE STABILITY OF POLYNOMIAL EQUATIONS. Konuralp Journal of Mathematics 4 1 88–91.
IEEE [1]N. Eghbalı, “HYERS-ULAM-RASSIAS TYPE STABILITY OF POLYNOMIAL EQUATIONS”, Konuralp J. Math., vol. 4, no. 1, pp. 88–91, Apr. 2016, [Online]. Available: https://izlik.org/JA74DZ58DJ
ISNAD Eghbalı, N. “HYERS-ULAM-RASSIAS TYPE STABILITY OF POLYNOMIAL EQUATIONS”. Konuralp Journal of Mathematics 4/1 (April 1, 2016): 88-91. https://izlik.org/JA74DZ58DJ.
JAMA 1.Eghbalı N. HYERS-ULAM-RASSIAS TYPE STABILITY OF POLYNOMIAL EQUATIONS. Konuralp J. Math. 2016;4:88–91.
MLA Eghbalı, N. “HYERS-ULAM-RASSIAS TYPE STABILITY OF POLYNOMIAL EQUATIONS”. Konuralp Journal of Mathematics, vol. 4, no. 1, Apr. 2016, pp. 88-91, https://izlik.org/JA74DZ58DJ.
Vancouver 1.N. Eghbalı. HYERS-ULAM-RASSIAS TYPE STABILITY OF POLYNOMIAL EQUATIONS. Konuralp J. Math. [Internet]. 2016 Apr. 1;4(1):88-91. Available from: https://izlik.org/JA74DZ58DJ
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