On Gauss-Weierstrass type integral operators

• Autorzy: Anastassiou, G. A. , Aral, A.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce a generalization of Gauss-Weierstrass operators based on q-integers using the q-integral and we call them q-Gauss-Weierstrass integral operators. For these operators, we obtain a convergence property in a weighted function space using Korovkin theory. Then we estimate the rate of convergence of these operators in terms of a weighted modulus of continuity. We also prove optimal global smoothness preservation property of these operators.

Słowa kluczowe

EN

Gauss-Weierstrass operators; weighted approximation; qexponential functions; q-derivative; q-integral

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2010
• Tom: Vol. 43, nr 4
• Strony: 841-849
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Anastassiou, G. A.

autor

Aral, A.

• Department of Mathematical Siciences the Universty of Memphis Memphis, TN 38152, U.S.A.,

Bibliografia

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