Let be the unit disc of the complex plane. We consider the problem of reconstructing a function in the Hardy space from values , where , ; , is a given point system in . This is an ill-posed problem. The function is approximated by so-called truncated Lagrange polynomials. Necessary and sufficient conditions for the convergence are established and a regularization result is given.
Cite this article
Dang Duc Trong, Tran Ngoc Lien, Reconstructing an Analytic Function Using Truncated Lagrange Polynomials. Z. Anal. Anwend. 22 (2003), no. 4, pp. 925–938DOI 10.4171/ZAA/1180