Izvorni znanstveni članak
Approximation for periodic functions via statistical σ-convergence
Kamil Demirci
; Department of Mathematics, Faculty of Arts and Sciences, Sinop University, Sinop, Turkey
Fadime Dirik
; Department of Mathematics, Faculty of Arts and Sciences, Sinop University, Sinop, Turkey
Sažetak
In this study, using the concept of statistical σ-convergence which is stronger than convergence and statistical convergence we prove a
Korovkin-type approximation theorem for sequences of positive linear
operators defined on $C^{\ast }$ which is the space of all $2\pi $-periodic and continuous functions on $\mathbb{R}$, the set of all real numbers. We also study the rates of statistical σ-convergence of approximating positive linear operators.
Ključne riječi
statistical convergence; statistical σ-convergence; positive linear operator; Korovkin-type approximation theorem; periodic functions; Fejer polynomials
Hrčak ID:
68624
URI
Datum izdavanja:
10.6.2011.
Posjeta: 1.157 *