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Dergiler / Turkish Journal of Mathematics / 2009 / Cilt: 33 - Sayı: 2

Modified Szász-Mirakjan-Kantorovich Operators Preserving Linear Functions

Oktay DUMAN, Biancamaria Della VECCHİA, Mehmet Ali ÖZARSLAN

Sayfa
151–158
DOI
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Özet

In this paper, 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.

Abstract

In this paper, 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.

Anahtar kelimeler: Szász-Mirakjan operators, Szász-Mirakjan-Kantorovich operators, the Korovkin-type approximation theorem, modulus of continuity, Lipschitz class functionals, Voronovskaya type theorem.

Modified Szász-Mirakjan-Kantorovich Operators Preserving Linear Functions — AJIndex