Swarnima Bahadur, Varun
Published 2022-02-26Version 1
The aim of this paper is to study the approximation of functions using a higher order Hermite-Fejer interpolation process on the unit circle. The system of nodes is composed of vertically projected zeros of Jacobi polynomials onto the unit circle with boundary points at $ \pm1 $. Values of the polynomial and its first four derivatives are fixed by the interpolation conditions at the nodes. Convergence of the process is obtained for analytic functions on a suitable domain, and the rate of convergence is estimated.
Comments: 11 pages, 1 figure, submitted to springer journal CONSTRUCTIVE APPROXIMATION
Analytic functions in shift-invariant spaces and analytic limits of level dependent subdivision
Inflation of poorly conditioned zeros of systems of analytic functions
Random sampling and unisolvent interpolation by almost everywhere analytic functions
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