Geodesic
Approximation by a family of summation-integral type operators preserving linear functions
Filomat, Tome 36 (2022) no. 16, p. 5563

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DOI

This article investigates the approximation properties of a general family of positive linear operators defined on the unbounded interval [0, ∞). We prove uniform convergence theorem and Voronovskaya-type theorem for functions with polynomial growth. More precisely, we study weighted approximation i.e basic convergence theorems, quantitative Voronovskaya-asymptotic theorems and Grüss Voronovskaya-type theorems in weighted spaces. Finally, we obtain the rate of convergence of these operators via a suitable weighted modulus of continuity.
DOI : 10.2298/FIL2216563G
Classification : 41A36, 26A15, 41A81, 26A15, 41A25
Keywords: Approximation by positive operators, Lipschitz-type space, weighted approximation, modulus of continuity, rate of convergence 
Brijesh Kumar Grewal; Meenu Goyal. Approximation by a family of summation-integral type operators preserving linear functions. Filomat, Tome 36 (2022) no. 16, p. 5563 . doi: 10.2298/FIL2216563G
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     title = {Approximation by a family of summation-integral type operators preserving linear functions},
     journal = {Filomat},
     pages = {5563 },
     year = {2022},
     volume = {36},
     number = {16},
     doi = {10.2298/FIL2216563G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2216563G/}
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