Volume 29, Issue 4
Approximation Properties by q-Durrmeyer-Stancu Operators

Anal. Theory Appl., 29 (2013), pp. 373-383

Published online: 2013-11

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• Abstract

In this paper, we are dealing with $q$-Bernstein-Durrmeyer-Stancuoperators. Firstly, we have estimated moments of these operators.Then we have discussed some approximation properties and asymptoticformulas. We have obtained better estimations by using King typeapproach and given statistical convergence for the operators.

• Keywords

$q$-Durrmeyer operator $q$-Jackson integral $q$-Beta function

41A25 41A35

@Article{ATA-29-373, author = {G. Icoz and R. N. Mohapatra}, title = {Approximation Properties by q-Durrmeyer-Stancu Operators}, journal = {Analysis in Theory and Applications}, year = {2013}, volume = {29}, number = {4}, pages = {373--383}, abstract = {In this paper, we are dealing with $q$-Bernstein-Durrmeyer-Stancuoperators. Firstly, we have estimated moments of these operators.Then we have discussed some approximation properties and asymptoticformulas. We have obtained better estimations by using King typeapproach and given statistical convergence for the operators.}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2013.v29.n4.6}, url = {http://global-sci.org/intro/article_detail/ata/4531.html} }
TY - JOUR T1 - Approximation Properties by q-Durrmeyer-Stancu Operators AU - G. Icoz & R. N. Mohapatra JO - Analysis in Theory and Applications VL - 4 SP - 373 EP - 383 PY - 2013 DA - 2013/11 SN - 29 DO - http://dor.org/10.4208/ata.2013.v29.n4.6 UR - https://global-sci.org/intro/ata/4531.html KW - $q$-Durrmeyer operator KW - $q$-Jackson integral KW - $q$-Beta function AB - In this paper, we are dealing with $q$-Bernstein-Durrmeyer-Stancuoperators. Firstly, we have estimated moments of these operators.Then we have discussed some approximation properties and asymptoticformulas. We have obtained better estimations by using King typeapproach and given statistical convergence for the operators.