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Differences of classical and modified operators

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[1] A.M. Acu, G. Bascanbaz-Tunca, I. Raşa, Differences of positive linear operators on simplices, J Funct Space, Volume 2021, Article ID 5531577.10.1155/2021/5531577 Search in Google Scholar

[2] A.M. Acu, M. Heilmann, I Rasa, Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators II, Positivity (2021). https://doi.org/10.1007/s11117-021-00832-710.1007/s11117-021-00832-7 Search in Google Scholar

[3] A.M. Acu, I. Raşa, Iterates and invariant measures for Markov operators, submitted. Search in Google Scholar

[4] J.M. Aldaz, O. Kounchev and H. Render, Shape preserving properties of generalized Bernstein operators on extended Chebyshev spaces, Numer Math, 114(1), 2009.10.1007/s00211-009-0248-0 Search in Google Scholar

[5] F. Altomare, M. Cappelletti Montano, V. Leonessa, I. Raşa, A generalization of Kantorovich operators for convex compact subsets, Banach J. Math. Anal., 11(3) (2017), 591-614.10.1215/17358787-2017-0008 Search in Google Scholar

[6] F. Altomare, Korovkin-type Theorems and Approximation by Positive Linear Operators, Surveys in Approximation Theory, 5 (2010), 92–164. Search in Google Scholar

[7] F. Altomare, M. Campiti, Korovkin-type Approximation Theory and its Applications, Walter de Gruyter, Berlin, New York, 1994.10.1515/9783110884586 Search in Google Scholar

[8] M.-M. Derriennic, On multivariate approximation by Bernstein-type polynomials, J. Approx. Theory 45 (1985) 155–166.10.1016/0021-9045(85)90043-7 Search in Google Scholar

[9] H. Gonska, R. Păltănea, Quantitative convergence theorems for a class of Bernstein- Durrmeyer operators preserving linear functions, Ukrainian Math. J. 62, 2010, 913-92210.1007/s11253-010-0413-8 Search in Google Scholar

[10] H. Gonska, R. Păltănea, Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions, Czechoslovak Math. J. 60(135), 2010, 783-799.10.1007/s10587-010-0049-8 Search in Google Scholar

[11] M. Heilmann, I. Rasa, Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators, Positivity (2017) 21:897-910.10.1007/s11117-016-0441-1 Search in Google Scholar

[12] R. Păltănea, A class of Durrmeyer type operators preserving linear functions, Ann. Tiberiu Popoviciu Sem. Funct. Equat. Approxim. Convex. (Cluj-Napoca) 5, 2007, 109-117. Search in Google Scholar

[13] D.-X. Zhou, Converse theorems for multidimensional Kantorovich operators, Analysis Mathematica 19 (1993) 85-100.10.1007/BF01904041 Search in Google Scholar