@Article{ATA-31-45, author = {}, title = {Convergence of the $q$ Analogue of Szász-Beta-Stancu Operators}, journal = {Analysis in Theory and Applications}, year = {2017}, volume = {31}, number = {1}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2015.v31.n1.4}, url = {http://global-sci.org/intro/article_detail/ata/4621.html} }