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

G. lçöz & R. N. Mohapatra

DOI: 10.4208/ata.2013.v29.n4.6

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-Stancu operators. Firstly, we have estimated moments of these operators. Then we have discussed some approximation properties and asymptotic formulas. We have obtained better estimations by using King type approach and given statistical convergence for the operators.

  • Keywords

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

  • AMS Subject Headings

41A25, 41A35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-29-373, author = {G. lçöz , 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-Stancu operators. Firstly, we have estimated moments of these operators. Then we have discussed some approximation properties and asymptotic formulas. We have obtained better estimations by using King type approach 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. lçöz , AU - R. N. Mohapatra , JO - Analysis in Theory and Applications VL - 4 SP - 373 EP - 383 PY - 2013 DA - 2013/11 SN - 29 DO - http://doi.org/10.4208/ata.2013.v29.n4.6 UR - https://global-sci.org/intro/article_detail/ata/4531.html KW - $q$-Durrmeyer operator, $q$-Jackson integral, $q$-Beta function. AB -

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

G. lçöz , and R. N. Mohapatra , . (2013). Approximation Properties by $q$-Durrmeyer-Stancu Operators. Analysis in Theory and Applications. 29 (4). 373-383. doi:10.4208/ata.2013.v29.n4.6
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