Geodesic
Approximation by Stancu variant of α-Schurer-Kantorovich operators
Filomat, Tome 36 (2022) no. 17, p. 5751

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DOI

We introduce the sequence of Stancu variant of α-Schurer-Kantorovich operators and systematically investigate some basic estimates. We also obtain the uniform convergence theorem and the order of approximation in terms of suitable modulus of continuity for our newly defined operators. Moreover, we investigate rate of convergence by means of Peetre's K-functional and local direct estimate via Lipschitz-type functions. Finally, A-statistical approximation is presented.
DOI : 10.2298/FIL2217751N
Classification : 41A36, 441A25, 33C45
Keywords: Schurer-Kantorovich opertors, order of approximation, local approximation, A-statistical approximation 
Md Nasiruzzaman; Nadeem Rao; Abdullah Alotaibi; S A Mohiuddine. Approximation by Stancu variant of α-Schurer-Kantorovich operators. Filomat, Tome 36 (2022) no. 17, p. 5751 . doi: 10.2298/FIL2217751N
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     author = {Md Nasiruzzaman and Nadeem Rao and Abdullah Alotaibi and S A Mohiuddine},
     title = {Approximation by {Stancu} variant of {\ensuremath{\alpha}-Schurer-Kantorovich} operators},
     journal = {Filomat},
     pages = {5751 },
     year = {2022},
     volume = {36},
     number = {17},
     doi = {10.2298/FIL2217751N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2217751N/}
}
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