Year 2016,
Volume: 29 Issue: 2, 479 - 486, 21.06.2016
Abstract
In this paper, the complex q-Balázs-Szabados-Kantorovich operators are defined, and a convergence result and an upper quantitative estimate of these operators are given.
References
- Andrews, G.E., Askey, R., Roy, R., Special Functions, Cambridge University Press, Cambridge, (1999).
- Aral, A, Gupta, V and Agarwal, R.P., Applications of q Calculus in Operator Theory, Springer, Berlin, (2013).
- Balázs, K., “Approximation by Bernstein type rational function”, Acta Math. Acad. Sci. Hung., 26: 123-134, (1975).
- Balázs, K., Szabados, J., “Approximation by Bernstein type rational function II”, Acta Math. Acad. Sci. Hung., 40(3-4): 331-337, (1982).
- Borwein, P., Erdélyi, T., “Sharp extensions of Bernstein's inequality to rational spaces”, Mathematika, 43(2): 412-423, (1996).
- Dogru, O., “On statistical approximation properties of Stancu type bivariate generalization of q-Balázs –Szabados operators”, In: Proceedings Int. Conf. on Numerical Analysis and Approximation Theory, Casa Cartii de Stiinta Cluj-Napoca, 179-194, (2006).
- Edward, J.C., Jafari, F., “A complex Rolle's theorem”, Am. Math. Mon., 99(9): 858-861, (1992).
- Gal, S.G., Approximation by Complex Bernstein and Convolution Type Operators, World Scientific, Hackensack, (2009).
- Ispir, N., Yildiz Ozkan, E., “Approximation properties of complex q- Balázs-Szabados operators in compact disks”, J. Inequal. Appl., 2013(361), (2013).
- Kac, V., Cheung, P., Quantum Calculus, Springer, New York, (2002).
- Kohr, G., Mocanu, P.T., Special Chapters of Complex Analysis, Cluj University Press, Cluj-Napoca, (2005).
- Korovkin, P.P., Linear operators and the theory of approximation, India, Delhi: Hindustan Publishing Corp., (1960).
- Yildiz Ozkan, E., “Approximation properties of bivariate complex q- Balázs-Szabados operators of tensor product kind”, J. Inequal. Appl., 2014:20, (2014).
- Yildiz Ozkan, E., “Approximation by complex bivariate Balázs -Szabados operators”, Bull. Malays. Math. Soc., 39: 1-16, (2016).
Year 2016,
Volume: 29 Issue: 2, 479 - 486, 21.06.2016
Abstract
References
- Andrews, G.E., Askey, R., Roy, R., Special Functions, Cambridge University Press, Cambridge, (1999).
- Aral, A, Gupta, V and Agarwal, R.P., Applications of q Calculus in Operator Theory, Springer, Berlin, (2013).
- Balázs, K., “Approximation by Bernstein type rational function”, Acta Math. Acad. Sci. Hung., 26: 123-134, (1975).
- Balázs, K., Szabados, J., “Approximation by Bernstein type rational function II”, Acta Math. Acad. Sci. Hung., 40(3-4): 331-337, (1982).
- Borwein, P., Erdélyi, T., “Sharp extensions of Bernstein's inequality to rational spaces”, Mathematika, 43(2): 412-423, (1996).
- Dogru, O., “On statistical approximation properties of Stancu type bivariate generalization of q-Balázs –Szabados operators”, In: Proceedings Int. Conf. on Numerical Analysis and Approximation Theory, Casa Cartii de Stiinta Cluj-Napoca, 179-194, (2006).
- Edward, J.C., Jafari, F., “A complex Rolle's theorem”, Am. Math. Mon., 99(9): 858-861, (1992).
- Gal, S.G., Approximation by Complex Bernstein and Convolution Type Operators, World Scientific, Hackensack, (2009).
- Ispir, N., Yildiz Ozkan, E., “Approximation properties of complex q- Balázs-Szabados operators in compact disks”, J. Inequal. Appl., 2013(361), (2013).
- Kac, V., Cheung, P., Quantum Calculus, Springer, New York, (2002).
- Kohr, G., Mocanu, P.T., Special Chapters of Complex Analysis, Cluj University Press, Cluj-Napoca, (2005).
- Korovkin, P.P., Linear operators and the theory of approximation, India, Delhi: Hindustan Publishing Corp., (1960).
- Yildiz Ozkan, E., “Approximation properties of bivariate complex q- Balázs-Szabados operators of tensor product kind”, J. Inequal. Appl., 2014:20, (2014).
- Yildiz Ozkan, E., “Approximation by complex bivariate Balázs -Szabados operators”, Bull. Malays. Math. Soc., 39: 1-16, (2016).
There are 14 citations in total.
Details
| Journal Section | Mathematics |
|---|---|
| Authors | |
| Publication Date | June 21, 2016 |
| Published in Issue | Year 2016 Volume: 29 Issue: 2 |