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Zbl 1175.41015
Duman, Oktay; Özarslan, Mehmet Alý; Della Vecchia, Biancamaria
Modified Szász-Mirakjan-Kantorovich operators preserving linear functions.
(English)
[J] Turk. J. Math. 33, No. 2, 151-158 (2009). ISSN 1300-0098; ISSN 1303-6149/e

Summary: We introduce a modification of the Szász-Mirakjan-Kantorovich operators, which preserve the linear functions. This type of operator modification enables better error estimation on the interval $[1/2,+\infty)$ than the classical Szász-Mirakjan-Kantorovich operators. We also obtain a Voronovskaya-type theorem for these operators.
MSC 2000:
*41A25 Degree of approximation, etc.
41A36 Approximation by positive operators

Keywords: Korovkin-type approximation theorem; modulus of continuity; Lipschitz class functionals; Voronovskaya type theorem

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