Modified Szász-Mirakjan-Kantorovich Operators Preserving Linear Functions

Authors

OKTAY DUMAN
MEHMET ALİ ÖZARSLAN
BIANCAMARIA DELLA VECCHIA

DOI

10.3906/mat-0801-2

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.

First Page

151

Last Page

158

Recommended Citation

DUMAN, OKTAY; ÖZARSLAN, MEHMET ALİ; and VECCHIA, BIANCAMARIA DELLA (2009) "Modified Szász-Mirakjan-Kantorovich Operators Preserving Linear Functions," Turkish Journal of Mathematics: Vol. 33: No. 2, Article 6. https://doi.org/10.3906/mat-0801-2
Available at: https://journals.tubitak.gov.tr/math/vol33/iss2/6