Geodesic
A tensor product of Kantorovich-Stancu type operators with shifted knots and their kth order generalization
Filomat, Tome 35 (2021) no. 12, p. 4239

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DOI

In this paper, we introduce a tensor product of the Stancu-Kantorovich type operators defined by Içöz [11]. The rate of convergence of these operators is obtained in terms of the modulus of continuity and the Peetre's K-functional. Further, we consider a generalization of the above operators via Taylor's polynomials and examine their approximation behavior. Some applications of these two dimensional generalized Stancu-Kantorovich type polynomials are also discussed. Finally, we present some numerical examples and illustrations to show the convergence behavior of the operators under study using MATLAB algorithms
DOI : 10.2298/FIL2112239B
Classification : 41A10, 41A25, 41A36, 41A63
Keywords: Kantorovich operators, Lipschitz-type space, K-functional, Modulus of continuity 
Behar Baxhaku; Rahul Shukla; P N Agrawal. A tensor product of Kantorovich-Stancu type operators with shifted knots and their kth order generalization. Filomat, Tome 35 (2021) no. 12, p. 4239 . doi: 10.2298/FIL2112239B
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     title = {A tensor product of {Kantorovich-Stancu} type operators with shifted knots and their kth order generalization},
     journal = {Filomat},
     pages = {4239 },
     year = {2021},
     volume = {35},
     number = {12},
     doi = {10.2298/FIL2112239B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2112239B/}
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