Approximation by q-analogue of modified Jakimovski-Leviatan-Stancu type operators

• Autorzy: Mursaleen M. , Nasiruzzaman M. , Wafi A.

Identyfikatory

DOI

10.1515/dema-2017-0019

• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce the q-analogue of the Jakimovski-Leviatan type modied operators introduced by Atakut with the help of the q-Appell polynomials. We obtain some approximation results via the well-known Korovkin’s theorem for these operators. We also study convergence properties by using the modulus of continuity and the rate of convergence of the operators for functions belonging to the Lipschitz class. Moreover, we study the rate of convergence in terms of modulus of continuity of these operators in a weighted space.

Słowa kluczowe

EN

q-analogue of Jakimovski-Leviatan operators; modulus of continuity; rate of approximation; K-functional; weighted spaces

PL

q-analogowe operatory Jakimovskiego-Lewiatana; moduł ciągłości; aproksymacja; przestrzeń funkcji

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2017
• Tom: Vol. 50, nr 1
• Strony: 175--189
• Opis fizyczny: Bibliogr. 34 poz.

Twórcy

autor

Mursaleen M.

• Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

autor

Nasiruzzaman M.

• Department of Mathematics, Jamia Millia Islamia University, New Delhi 110005, India

autor

Wafi A.

• Department of Mathematics, Jamia Millia Islamia University, New Delhi 110005, India

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).