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2009 | 7 | 3 | 558-567
Tytuł artykułu

Lacunary equi-statistical convergence of positive linear operators

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Wydawca
Czasopismo
Rocznik
Tom
7
Numer
3
Strony
558-567
Opis fizyczny
Daty
wydano
2009-09-01
online
2009-08-12
Twórcy
autor
Bibliografia
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  • [10] Fridy J.A.,On statistical convergence. Analysis, 1985 5, 301–313
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  • [13] Karakuş S., Demirci K., Duman O.,Equi-statistical convergence of positive linear operators. J. Math. Anal. Appl., 2008 339, 1065–1072 http://dx.doi.org/10.1016/j.jmaa.2007.07.050
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-009-0009-4
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