Convergence of the q Analogue of Szász-Beta-Stancu Operators
Year: 2015
Analysis in Theory and Applications, Vol. 31 (2015), Iss. 1 : pp. 45–57
Abstract
In the present paper, we propose the q analogue of Szász-Beta-Stancu operators. By estimate the moments, we establish direct results in terms of the modulus of smoothness. Investigate the rate of point-wise convergence and weighted approximation properties of the q operators. Voronovskaja type theorem is also obtained. Our results generalize and supplement some convergence results of the q-Szász-Beta operators, thus they improve the existing results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2015.v31.n1.4
Analysis in Theory and Applications, Vol. 31 (2015), Iss. 1 : pp. 45–57
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: q-Szász-Beta operators q-analogues modulus of smoothness stancu weighted approximation.