AN UPPER ESTIMATE OF COMPLEX Q-BALÁZS-SZABADOS-KANTOROVICH OPERATORS ON COMPACT DISKS

Volume: 29 Number: 2 June 21, 2016
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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

  1. Andrews, G.E., Askey, R., Roy, R., Special Functions, Cambridge University Press, Cambridge, (1999).
  2. Aral, A, Gupta, V and Agarwal, R.P., Applications of q Calculus in Operator Theory, Springer, Berlin, (2013).
  3. Balázs, K., “Approximation by Bernstein type rational function”, Acta Math. Acad. Sci. Hung., 26: 123-134, (1975).
  4. Balázs, K., Szabados, J., “Approximation by Bernstein type rational function II”, Acta Math. Acad. Sci. Hung., 40(3-4): 331-337, (1982).
  5. Borwein, P., Erdélyi, T., “Sharp extensions of Bernstein's inequality to rational spaces”, Mathematika, 43(2): 412-423, (1996).
  6. 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).
  7. Edward, J.C., Jafari, F., “A complex Rolle's theorem”, Am. Math. Mon., 99(9): 858-861, (1992).
  8. Gal, S.G., Approximation by Complex Bernstein and Convolution Type Operators, World Scientific, Hackensack, (2009).

Details

Primary Language

English

Subjects

-

Journal Section

-

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