Lower bounds for the zeros of analytic functions
β Scribed by Evangelos K. Ifantis; Christos B. Kouris
- Publisher
- Springer-Verlag
- Year
- 1977
- Tongue
- English
- Weight
- 397 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0029-599X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We show that, subject to a certain condition, the number of zeros of a spline function is bounded by the number of strong sign changes in its sequence of B-spline coefficients. By writing a general spline function as a sum of functions which satisfy the given condition, we can deduce known bounds on
## Improved Bounds for Taylor Coefficients of Analytic Functions The practical computation of verified bounds for Taylor coefficients of analytic functions is considered. Using interval arithmetic, the bounds are constructed from Cauchy's estimate and from some of its modifications. By employing t