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A Korovkin type approximation theorems via $\scr I$-convergence
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 1, pp. 367-375 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Using the concept of $\mathcal {I}$-convergence we provide a Korovkin type approximation theorem by means of positive linear operators defined on an appropriate weighted space given with any interval of the real line. We also study rates of convergence by means of the modulus of continuity and the elements of the Lipschitz class.
Using the concept of $\mathcal {I}$-convergence we provide a Korovkin type approximation theorem by means of positive linear operators defined on an appropriate weighted space given with any interval of the real line. We also study rates of convergence by means of the modulus of continuity and the elements of the Lipschitz class.
Classification : 40A99, 41A10, 41A25, 41A36
Keywords: $\scr{I}$-convergence; positive linear operator; the classical Korovkin theorem 
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     author = {Duman, O.},
     title = {A {Korovkin} type approximation theorems via $\scr I$-convergence},
     journal = {Czechoslovak Mathematical Journal},
     pages = {367--375},
     year = {2007},
     volume = {57},
     number = {1},
     mrnumber = {2309970},
     zbl = {1174.41004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2007_57_1_a26/}
}
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Duman, O. A Korovkin type approximation theorems via $\scr I$-convergence. Czechoslovak Mathematical Journal, Tome 57 (2007) no. 1, pp. 367-375. http://geodesic.mathdoc.fr/item/CMJ_2007_57_1_a26/