Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Lacunary statistical convergence

Sortuj według:

Ogranicz wyniki do:

Lacunary equi-statistical convergence of positive linear operators

100%

Aktuğlu H., Gezer H.

Open Mathematics

2009

tom 7

nr 3

558-567

In this paper, the concept of lacunary equi-statistical convergence is introduced and it is shown that lacunary equi-statistical convergence lies between lacunary statistical pointwise and lacunary statistical uniform convergence. Inclusion relations between equi-statistical and lacunary equi-statistical convergence are investigated and it is proved that, under some conditions, lacunary equi-statistical convergence and equi-statistical convergence are equivalent to each other. A Korovkin type approximation theorem via lacunary equi-statistical convergence is proved. Moreover it is shown that our Korovkin type approximation theorem is a non-trivial extension of some well-known Korovkin type approximation theorems. Finally the rates of lacunary equi-statistical convergence by the help of modulus of continuity of positive linear operators are studied.

Ograniczanie wyników

1 Open Mathematics

1 Aktuğlu H.

1 Gezer H.

1 2009

Wyniki wyszukiwania

Lacunary equi-statistical convergence of positive linear operators