Erdős–Turán Type Inequality for the Sum of Successive Fundamental Polynomials of Hermite Interpolation

On the Positivity of the Fundamental Pol

On the Positivity of the Fundamental Polynomials for Generalized Hermite–Fejér Interpolation on the Chebyshev Nodes

✍ Simon J. Smith 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 90 KB

It is shown that the fundamental polynomials for (0, 1, ..., 2m+1) Hermite Feje r interpolation on the zeros of the Chebyshev polynomials of the first kind are nonnegative for &1 x 1, thereby generalising a well-known property of the original Hermite Feje r interpolation method. As an application of