𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hyers–Ulam stability of zeros of polynomials

✍ Scribed by Soon-Mo Jung

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
200 KB
Volume
24
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

We prove that if |a 1 | is large and |a 0 | is small enough, then every approximate zero of the polynomial of degree n, a n z n

can be approximated by a true zero within a good error bound.

📜 SIMILAR VOLUMES

Hyers-Ulam stability of Flett's points
Hyers-Ulam stability of Flett's points
✍ M. Das; T. Riedel; P.K. Sahoo 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 162 KB

In this paper, we show that Flett's points are stable in the sense of Hyers and Ulam (~) 2003 Elsevier Science Ltd. All rights reserved.

Hyers–Ulam stability of Sahoo–Riedel’s p
Hyers–Ulam stability of Sahoo–Riedel’s point
✍ W. Lee; S. Xu; F. Ye 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 358 KB

In this paper, we construct a counter example to show that ''Theorem'' of Hyers-Ulam Stability of Flett's Point in [M. Das, T. Riedel, P.K. Sahoo, Hyers-Ulam stability of Flett's points, Applied Mathematics Letters. 16 (3) (2003), 269-271] is incorrect. At the same time, we give the correct theorem