- Turkish Journal of Mathematics
- Vol: 33 Issue: 2
- Modified Szász-Mirakjan-Kantorovich Operators Preserving Linear Functions
Modified Szász-Mirakjan-Kantorovich Operators Preserving Linear Functions
Authors : Oktay Duman, Mehmet Ali Özarslan, Biancamaria Della Vecchia
Pages : 151-158
View : 10 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Szász-Mirakjan operators, Szász-Mirakjan-Kantorovich operators, the Korovkin-type approximation theorem, modulus of continuity, Lipschitz class functionals, Voronovskaya type theorem.