Geodesic
On integral type generalizations of positive linear operators
O. Duman 1   ; M. A. Özarslan 2   ; O. Doğru 3
1 Department of Mathematics Faculty of Arts and Sciences TOBB Economics and Technology University Söğütözü 06530 Ankara, Turkey
2 Department of Mathematics Faculty of Art and Science Eastern Mediterranean University Gazimagusa, Mersin 10, Turkey
3 Department of Mathematics Faculty of Science Ankara University Tandoğan 06100 Ankara, Turkey
Studia Mathematica, Tome 174 (2006) no. 1, pp. 1-12 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm174-1-1
Keywords: introduce sequence positive linear operators including many integral type generalizations known operators using concept statistical convergence obtain korovkin type approximation theorems those operators compute rates statistical convergence furthermore local approximation rth order generalization operators

O. Duman  1   ; M. A. Özarslan  2   ; O. Doğru  3

1 Department of Mathematics Faculty of Arts and Sciences TOBB Economics and Technology University Söğütözü 06530 Ankara, Turkey
2 Department of Mathematics Faculty of Art and Science Eastern Mediterranean University Gazimagusa, Mersin 10, Turkey
3 Department of Mathematics Faculty of Science Ankara University Tandoğan 06100 Ankara, Turkey 
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O. Duman; M. A. Özarslan; O. Doğru. On integral type generalizations of positive linear operators. Studia Mathematica, Tome 174 (2006) no. 1, pp. 1-12. doi: 10.4064/sm174-1-1

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