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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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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 ${e}_{0}\left(x\right)=1$ and ${e}_{1}\left(x\right)=x$, ${e}_{0}\left(x\right)=1$ and ${e}_{2}\left(x\right)={x}^{2}$, as well as ${e}_{1}\left(x\right)=x$ and ${e}_{2}\left(x\right)={x}^{2}$. The class of operators that preserve the test functions ${e}_{1}\left(x\right)=x$ and ${e}_{2}\left(x\right)={x}^{2}$ 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
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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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