Statistical approximation of a kind of Kantorovich type -Szász–Mirakjan operators

Statistical approximation of a kind of Kantorovich type -Szász–Mirakjan operators

In the present paper, we introduce a Kantorovich type generalization of the q -Szasz-Mirakjan operators and investigate their A -statistical approximation properties. Also, the rate of A -statistical convergence of the proposed sequence of linear positive operators is obtained by a weighted modulus...

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Veröffentlicht in:Nonlinear analysis 2012-03, Vol.75 (5), p.2874-2882
Hauptverfasser: Oerkcue, Mediha, Dogru, Oguen
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Continuity
Convergence
Mathematical analysis
Nonlinearity
Operators
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Zusammenfassung:In the present paper, we introduce a Kantorovich type generalization of the q -Szasz-Mirakjan operators and investigate their A -statistical approximation properties. Also, the rate of A -statistical convergence of the proposed sequence of linear positive operators is obtained by a weighted modulus of continuity.
ISSN:0362-546X
DOI:10.1016/j.na.2011.11.029