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Journal of Function Spaces
Volume 2016, Article ID 1035253, 9 pages
http://dx.doi.org/10.1155/2016/1035253
Research Article

On a Kantorovich Variant of -Szász-Mirakjan Operators

1Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
2Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
3Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Received 23 October 2015; Accepted 31 December 2015

Academic Editor: Pasquale Vetro

Copyright © 2016 M. Mursaleen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [12 citations]

The following is the list of published articles that have cited the current article.

  • M. Mursaleen, A. Al-Abied, and Md. Nasiruzzaman, “Modified (p,q)-Bernstein-Schurer operators and their approximation properties,” Cogent Mathematics, vol. 3, no. 1, 2016. View at Publisher · View at Google Scholar
  • Tuncer Acar, Ali Aral, and Syed Abdul Mohiuddine, “On Kantorovich modification of (p, q)-Baskakov operators,” Journal Of Inequalities And Applications, 2016. View at Publisher · View at Google Scholar
  • Taqseer Khan, Mohammad Mursaleen, and Abdizhahan M Sarsenbi, “On (p, q) -analogue of two parametric Stancu-Beta operators,” Journal of Inequalities and Applications, vol. 2016, no. 1, 2016. View at Publisher · View at Google Scholar
  • Uğur Kadak, “On weighted statistical convergence based on (p,q)-integers and related approximation theorems for functions of two variables,” Journal of Mathematical Analysis and Applications, vol. 443, no. 2, pp. 752–764, 2016. View at Publisher · View at Google Scholar
  • Uğur Kadak, Vishnu Narayan Mishra, and Shikha Pandey, “Chlodowsky type generalization of (p, q)-Szász operators involving Brenke type polynomials,” Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017. View at Publisher · View at Google Scholar
  • M Mursaleen, Aah Al-Abied, and Abdullah Alotaibi, “On ( p , q ) $(p,q)$ -Szász-Mirakyan operators and their approximation properties,” Journal of Inequalities and Applications, vol. 2017, no. 1, 2017. View at Publisher · View at Google Scholar
  • Mursaleen, and Md. Nasiruzzaman, “Some approximation properties of bivariate Bleimann-Butzer-Hahn operators based on (p, q)-integers,” Bolletino dell Unione Matematica Italiana, vol. 10, no. 2, pp. 271–289, 2017. View at Publisher · View at Google Scholar
  • Uğur Kadak, “Weighted statistical convergence based on generalized difference operator involving (p,q)-gamma function and its applications to approximation theorems,” Journal of Mathematical Analysis and Applications, vol. 448, no. 2, pp. 1633–1650, 2017. View at Publisher · View at Google Scholar
  • M Mursaleen, Md Nasiruzzaman, Khursheed J Ansari, and Abdullah Alotaibi, “Generalized ( p , q ) $(p,q)$ -Bleimann-Butzer-Hahn operators and some approximation results,” Journal of Inequalities and Applications, vol. 2017, no. 1, 2017. View at Publisher · View at Google Scholar
  • Mursaleen, Nasiruzzaman, Khan, and Khan, “On (p,q)-analogue of divided differences and Bernstein operators,” Journal of Nonlinear Functional Analysis, vol. 2017, 2017. View at Publisher · View at Google Scholar
  • Guorong Zhou, Qing-Bo Cai, and Xiao-Wei Xu, “Bivariate tensor product (p, q) -analogue of Kantorovich-type Bernstein-Stancu-Schurer operators,” Journal of Inequalities and Applications, vol. 2017, 2017. View at Publisher · View at Google Scholar
  • Vishnu Narayan Mishra, Mursaleen, Shikha Pandey, and Abdullah Alotaibi, “Approximation properties of Chlodowsky variant of (p, q) Bernstein-Stancu-Schurer operators,” Journal of Inequalities and Applications, vol. 2017, no. 1, 2017. View at Publisher · View at Google Scholar