Certain generalized q-operators

• Autorzy: Prakash, O. , Sharma, D. , Maheshwari, P.
• Języki publikacji: EN

Abstrakty

EN

The applications of q-calculus in the approximation theory is a very interesting area of research in the recent years, several new q-operators were introduced and their behaviour were discussed by many researchers. This paper is the extension of the paper [15], in which Durrmeyer type generalization of q-Baskakov–Stancu type operators were discussed by using the concept of q-integral operators. Here, we propose to study the Stancu variant of q-Baskakov–Stancu type operators. We establish an estimate for the rate of convergence in terms of modulus of continuity and weighted approximation properties of these operators.

Słowa kluczowe

PL

operatory Baskakova; aproksymacja ważona; stopień konwergencji; operatory całkowe

EN

q-Baskakov type operators; weighted approximation; rate of convergence; q-integral operators

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2015
• Tom: Vol. 48, nr 3
• Strony: 404--412
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Prakash, O.

• Department of Mathematics, School of Basic Sciences, Indian Institute of Technology Patna, India,

autor

Sharma, D.

• Research Scholar, Bansthali University, Rajasthan, India,

autor

Maheshwari, P.

• Department of Mathematics, SRM University, NCR Campus, Modinagar 201204, India,

Bibliografia

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Identyfikatory

DOI

10.1515/dema-2015-0028