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Article

Estimates for the Differences of Certain Positive Linear Operators

by 1,*,†, 2,† and 2,†
1
Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, Str. Dr. I. Ratiu, No. 5-7, RO-550012 Sibiu, Romania
2
Department of Mathematics, Faculty of Automation and Computer Science, Technical University of Cluj-Napoca, Str. Memorandumului nr. 28, 400114 Cluj-Napoca, Romania
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2020, 8(5), 798; https://doi.org/10.3390/math8050798
Received: 17 April 2020 / Revised: 8 May 2020 / Accepted: 9 May 2020 / Published: 14 May 2020
(This article belongs to the Special Issue Applications of Inequalities and Functional Analysis)
The present paper deals with estimates for differences of certain positive linear operators defined on bounded or unbounded intervals. Our approach involves Baskakov type operators, the kth order Kantorovich modification of the Baskakov operators, the discrete operators associated with Baskakov operators, Meyer–König and Zeller operators and Bleimann–Butzer–Hahn operators. Furthermore, the estimates in quantitative form of the differences of Baskakov operators and their derivatives in terms of first modulus of continuity are obtained. View Full-Text
Keywords: positive linear operators; estimates of differences of operators; Baskakov operators; MKZ-operators; BBH-operators; Kantorovich modifications positive linear operators; estimates of differences of operators; Baskakov operators; MKZ-operators; BBH-operators; Kantorovich modifications
MDPI and ACS Style

Acu, A.M.; Hodiş, S.; Rașa, I. Estimates for the Differences of Certain Positive Linear Operators. Mathematics 2020, 8, 798. https://doi.org/10.3390/math8050798

AMA Style

Acu AM, Hodiş S, Rașa I. Estimates for the Differences of Certain Positive Linear Operators. Mathematics. 2020; 8(5):798. https://doi.org/10.3390/math8050798

Chicago/Turabian Style

Acu, Ana M., Sever Hodiş, and Ioan Rașa. 2020. "Estimates for the Differences of Certain Positive Linear Operators" Mathematics 8, no. 5: 798. https://doi.org/10.3390/math8050798

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