Statistical approximation of Baskakov and Baskakov-Kantorovich operators based on the q-integers

• Autorzy: Nazim Mahmudov
• Języki publikacji: EN

Abstrakty

EN

In the present paper we introduce and investigate weighted statistical approximation properties of a q-analogue of the Baskakov and Baskakov-Kantorovich operators. By using a weighted modulus of smoothness, we give some direct estimations for error in the case 0 < q < 1.

Słowa kluczowe

EN

q-integers; q-Baskakov operators; q-Baskakov-Kantorovich operators; Weighted space; Weighted modulus of smoothness

Kategorie tematyczne

• 41A30: Approximation by other special function classes
• 41A36: Approximation by positive operators
• 41A25: Rate of convergence, degree of approximation

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 4
• Strony: 816-826

Daty

wydano

2010-08-01

online

2010-07-24

Twórcy

autor

Nazim Mahmudov

• Eastern Mediterranean University, Gazimagusa, TRNC, Mersin, 10, Turkey

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-010-0040-5