Journal article

Authors list: Berdysheva, Elena E.; Heilmann, Margareta; Hennings, Katharina

Publication year: 2020

Journal: Journal of Approximation Theory

Volume number: 251

ISSN: 0021-9045

eISSN: 1096-0430

Open access status: Bronze

DOI Link: https://doi.org/10.1016/j.jat.2019.105339

Publisher: Elsevier

Abstract: 
In this paper we consider a generalization of the Bernstein-Durrmeyer operator where the integrals are taken with respect to measures that may vary from term to term. This construction is more general than the one considered by the first named author and her coauthors earlier, and it includes a number of well-known operators of Bernstein type as particular cases. We give conditions on the collections of measures that guarantee pointwise convergence at a point of continuity of a function. (C) 2019 Elsevier Inc. All rights reserved.

Harvard Citation style: Berdysheva, E., Heilmann, M. and Hennings, K. (2020) Pointwise convergence of the Bernstein-Durrmeyer operators with respect to a collection of measures, Journal of Approximation Theory, 251, Article 105339. https://doi.org/10.1016/j.jat.2019.105339

APA Citation style: Berdysheva, E., Heilmann, M., & Hennings, K. (2020). Pointwise convergence of the Bernstein-Durrmeyer operators with respect to a collection of measures. Journal of Approximation Theory. 251, Article 105339. https://doi.org/10.1016/j.jat.2019.105339