Title of article :
Modified Sz´asz-Mirakjan-Kantorovich Operators Preserving Linear Functions
Author/Authors :
Duman, Oktay TOBB Economics and Technology University - Faculty of Arts and Sciences - Department of Mathematics, Turkey , Ozarslan, Mehmet Ali Eastern Mediterranean University - Faculty of Arts and Sciences - Department of Mathematics, TURKEY , Vecchia, Biancamaria Della Universit´a di Roma “La Sapienza” - Dipartimento di Matematica, ITALY
Abstract :
In this paper, we introduce a modification of the Sz´asz-Mirakjan-Kantorovich operators, which preserve the linear functions. This type of operator modification enables better error estimation on the interval [1/2,+∞) than the classical Szasz-Mirakjan-Kantorovich operators. We also obtain a Voronovskaya-type theorem for these operators.
Keywords :
Szasz , Mirakjan operators , Szasz , Mirakjan , Kantorovich operators , the Korovkin , type approximation theorem , modulus of continuity , Lipschitz class functionals , Voronovskaya type theorem
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
