On integral type generalizations of positive linear operators

• Autorzy: O. Duman , M. A. Özarslan , O. Doğru
• Języki publikacji: EN

Abstrakty

EN

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 rth order generalization of our operators.

Kategorie tematyczne

• 41A36: Approximation by positive operators
• 41A10: Approximation by polynomials
• 40A25: Approximation to limiting values (summation of series, etc.)
• 41A25: Rate of convergence, degree of approximation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 174
• Numer: 1
• Strony: 1-12

Daty

wydano

2006

Twórcy

autor

O. Duman

• Department of Mathematics, Faculty of Arts and Sciences, TOBB Economics and Technology University, Söğütözü 06530, Ankara, Turkey

autor

M. A. Özarslan

• Department of Mathematics, Faculty of Art and Science, Eastern Mediterranean University, Gazimagusa, Mersin 10, Turkey

autor

O. Doğru

• Department of Mathematics, Faculty of Science, Ankara University, Tandoğan 06100, Ankara, Turkey

Identyfikatory

DOI

10.4064/sm174-1-1