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

Abstract: In this paper, we introduce the q-analogue of the Jakimovski-Leviatan type modified 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 aweighted space.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Approximation by q-analogue of modified Jakimovski-Leviatan-Stancu type operators ; volume:50 ; number:1 ; year:2017 ; pages:175-189 ; extent:15
Demonstratio mathematica ; 50, Heft 1 (2017), 175-189 (gesamt 15)

Creator
Mursaleen, Mohammad
Nasiruzzaman, Mohammad
Wafi, Abdul

DOI
10.1515/dema-2017-0019
URN
urn:nbn:de:101:1-2411181455518.947048824740
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:22 AM CEST

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Associated

  • Mursaleen, Mohammad
  • Nasiruzzaman, Mohammad
  • Wafi, Abdul

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