Geodesic
On Stancu-type integral generalization of modified Jain operators
Filomat, Tome 37 (2023) no. 22, p. 7607

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DOI

In this paper, we introduce a Stancu-type integral generalization of modified Lupas¸-Lupas¸-Jain operators. First, we discuss some auxiliary results and then using them we represent a Korovkin-type theorem for these operators. Next, we establish a Voronovskaja-type asymptotic result and then find a quantitative estimation for the defined operators. Also, we examine their rate of convergence with the help of modulus of continuity and the Peetre's K-functional and analyze a convergence result for the Lipschitz-type class of functions. Lastly, we provide some graphical examples to show the relevance of our generalization.
DOI : 10.2298/FIL2322607S
Classification : 41A36, 41A35, 41A25
Keywords: Weighted approximation process, Rate of convergence, Modulus of continuity, Voronovskaja-type theorem 
Abhishek Senapati; Ajay Kumar; Tanmoy Som. On Stancu-type integral generalization of modified Jain operators. Filomat, Tome 37 (2023) no. 22, p. 7607 . doi: 10.2298/FIL2322607S
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     title = {On {Stancu-type} integral generalization of modified {Jain} operators},
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     pages = {7607 },
     year = {2023},
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     doi = {10.2298/FIL2322607S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2322607S/}
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