# Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

## On integral type generalizations of positive linear operators

### Tom 174 / 2006

Studia Mathematica 174 (2006), 1-12 MSC: Primary 41A10, 41A25, 41A36; Secondary 40A25. DOI: 10.4064/sm174-1-1

#### Streszczenie

We introduce a sequence of positive linear operators including many integral type generalizations of well known operators. Using the concept of statistical convergence we obtain some Korovkin type approximation theorems for those operators, and compute the rates of statistical convergence. Furthermore, we deal with the local approximation and the $r$th order generalization of our operators.

#### Autorzy

• O. DumanDepartment of Mathematics
Faculty of Arts and Sciences
TOBB Economics and Technology University
Söğütözü 06530
Ankara, Turkey
e-mail
• M. A. ÖzarslanDepartment of Mathematics
Faculty of Art and Science
Eastern Mediterranean University
Gazimagusa, Mersin 10, Turkey
e-mail
• O. DoğruDepartment of Mathematics
Faculty of Science
Ankara University
Tandoğan 06100
Ankara, Turkey
e-mail

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