Reconstructing an Analytic Function Using Truncated Lagrange Polynomials

  • Dang Duc Trong

    National University, Hochiminh City, Vietnam
  • Tran Ngoc Lien

    Faculty of Natural Sciences, Cantho City, Vietnam

Abstract

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. 925–938

DOI 10.4171/ZAA/1180