Modified Szász-Mirakjan-Kantorovich Operators Preserving Linear Functions

Authors

OKTAY DUMAN
MEHMET ALİ ÖZARSLAN
BIANCAMARIA DELLA VECCHIA

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.

DOI

10.3906/mat-0801-2

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, O, ÖZARSLAN, M. A, & VECCHIA, B. D (2009). Modified Szász-Mirakjan-Kantorovich Operators Preserving Linear Functions. Turkish Journal of Mathematics 33 (2): 151-158. https://doi.org/10.3906/mat-0801-2