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AN UPPER ESTIMATE OF COMPLEX Q-BALÁZS-SZABADOS-KANTOROVICH OPERATORS ON COMPACT DISKS
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.
Keywords
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).
Details
Primary Language
English
Subjects
-
Journal Section
-
Authors
Publication Date
June 21, 2016
Submission Date
February 22, 2016
Acceptance Date
-
Published in Issue
Year 2016 Volume: 29 Number: 2
APA
Yıldız Özkan, E. (2016). AN UPPER ESTIMATE OF COMPLEX Q-BALÁZS-SZABADOS-KANTOROVICH OPERATORS ON COMPACT DISKS. Gazi University Journal of Science, 29(2), 479-486. https://izlik.org/JA47BX78XA
AMA
1.Yıldız Özkan E. AN UPPER ESTIMATE OF COMPLEX Q-BALÁZS-SZABADOS-KANTOROVICH OPERATORS ON COMPACT DISKS. Gazi University Journal of Science. 2016;29(2):479-486. https://izlik.org/JA47BX78XA
Chicago
Yıldız Özkan, Esma. 2016. “AN UPPER ESTIMATE OF COMPLEX Q-BALÁZS-SZABADOS-KANTOROVICH OPERATORS ON COMPACT DISKS”. Gazi University Journal of Science 29 (2): 479-86. https://izlik.org/JA47BX78XA.
EndNote
Yıldız Özkan E (June 1, 2016) AN UPPER ESTIMATE OF COMPLEX Q-BALÁZS-SZABADOS-KANTOROVICH OPERATORS ON COMPACT DISKS. Gazi University Journal of Science 29 2 479–486.
IEEE
[1]E. Yıldız Özkan, “AN UPPER ESTIMATE OF COMPLEX Q-BALÁZS-SZABADOS-KANTOROVICH OPERATORS ON COMPACT DISKS”, Gazi University Journal of Science, vol. 29, no. 2, pp. 479–486, June 2016, [Online]. Available: https://izlik.org/JA47BX78XA
ISNAD
Yıldız Özkan, Esma. “AN UPPER ESTIMATE OF COMPLEX Q-BALÁZS-SZABADOS-KANTOROVICH OPERATORS ON COMPACT DISKS”. Gazi University Journal of Science 29/2 (June 1, 2016): 479-486. https://izlik.org/JA47BX78XA.
JAMA
1.Yıldız Özkan E. AN UPPER ESTIMATE OF COMPLEX Q-BALÁZS-SZABADOS-KANTOROVICH OPERATORS ON COMPACT DISKS. Gazi University Journal of Science. 2016;29:479–486.
MLA
Yıldız Özkan, Esma. “AN UPPER ESTIMATE OF COMPLEX Q-BALÁZS-SZABADOS-KANTOROVICH OPERATORS ON COMPACT DISKS”. Gazi University Journal of Science, vol. 29, no. 2, June 2016, pp. 479-86, https://izlik.org/JA47BX78XA.
Vancouver
1.Esma Yıldız Özkan. AN UPPER ESTIMATE OF COMPLEX Q-BALÁZS-SZABADOS-KANTOROVICH OPERATORS ON COMPACT DISKS. Gazi University Journal of Science [Internet]. 2016 Jun. 1;29(2):479-86. Available from: https://izlik.org/JA47BX78XA