Abstract
In this paper we give positive answers to some problems posed by H.Gonska, respectively A.Lupaş. We show here that there exist positive linear operators H
n : C[0, 1] → πn satisfying
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Gavrea, I.: On Gonska’s Problem Concerning Approximation by Algebraic Polynomials, Revue D’Analyse Numerique et de Thorie de L’Approximation 22(1) 1993, pp 53–57.
Gavrea, L: Approximation by Positive Linear Operators, to appear in “Revue D’Analyse Numeriwue et de Thorie de L’Approximation”.
Gonska, H.H. and Kovacheva, R.K.: The Second Order Modulus Revisited: Remarks, Applications, Problems, to appear in “Conferenze del Seminario di Matematica dell’ Universit di Bari”, 1994.
Gonska, H.H. and Zhou, X.-l.: Polynomial Approximation with Side Conditions: Recent Results and Open Problems, First International Coloquium on Numerical Analysis (1993), pp 61-71.
Lupaş, A.: The Approximation by Means of Some Linear Positive Operators Approximation Theorie, Proceedings of the International Dortmund Meeting, IDOMAT 95, pp 201-229.
Szegö, G.: Orthogonal Polynomials, Amer. Math. Soc, Colloquium Publ., vol. 23, 1985.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gavrea, I. The Approximation of The Continuous Functions by Means of Some Linear Positive Operators. Results. Math. 30, 55–66 (1996). https://doi.org/10.1007/BF03322180
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF03322180