On a q-analogue of Stancu operators

• Autorzy: Octavian Agratini
• Języki publikacji: EN

Abstrakty

EN

This paper is concerned with a generalization in q-Calculus of Stancu operators. Involving modulus of continuity and Lipschitz type maximal function, we give estimates for the rate of convergence. A probabilistic approach is presented and approximation properties are established.

Słowa kluczowe

EN

q-integers; q-Bernstein polynomials; Uniform convergence; Smoothness; Lipschitz-type maximal function

Kategorie tematyczne

• 41A36: Approximation by positive operators

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 1
• Strony: 191-198

Daty

wydano

2010-02-01

online

2010-02-02

Twórcy

autor

Octavian Agratini

• Babeş-Bolyai University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-009-0057-9