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On New Classes of Stancu-Kantorovich-Type Operators

Department of Mathematics and Computer Science, Faculty of Mathematics and Computer Science, Transilvania University of Brașov, Iuliu Maniu Str., 500090 Brașov, Romania
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Academic Editor: Panagiotis-Christos Vassiliou
Mathematics 2021, 9(11), 1235; https://doi.org/10.3390/math9111235
Received: 14 April 2021 / Revised: 22 May 2021 / Accepted: 25 May 2021 / Published: 28 May 2021
The present paper introduces new classes of Stancu–Kantorovich operators constructed in the King sense. For these classes of operators, we establish some convergence results, error estimations theorems and graphical properties of approximation for the classes considered, namely, operators that preserve the test functions e0(x)=1 and e1(x)=x, e0(x)=1 and e2(x)=x2, as well as e1(x)=x and e2(x)=x2. The class of operators that preserve the test functions e1(x)=x and e2(x)=x2 is a genuine generalization of the class introduced by Indrea et al. in their paper “A New Class of Kantorovich-Type Operators”, published in Constr. Math. Anal. View Full-Text
Keywords: Stancu operators; Kantorovich operators; Stancu–Kantorovich operators; King-type operators; approximation by positive linear operators Stancu operators; Kantorovich operators; Stancu–Kantorovich operators; King-type operators; approximation by positive linear operators
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MDPI and ACS Style

Vasian, B.I.; Garoiu, Ș.L.; Păcurar, C.M. On New Classes of Stancu-Kantorovich-Type Operators. Mathematics 2021, 9, 1235. https://doi.org/10.3390/math9111235

AMA Style

Vasian BI, Garoiu ȘL, Păcurar CM. On New Classes of Stancu-Kantorovich-Type Operators. Mathematics. 2021; 9(11):1235. https://doi.org/10.3390/math9111235

Chicago/Turabian Style

Vasian, Bianca I., Ștefan L. Garoiu, and Cristina M. Păcurar. 2021. "On New Classes of Stancu-Kantorovich-Type Operators" Mathematics 9, no. 11: 1235. https://doi.org/10.3390/math9111235

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