Research Article

APPROXIMATION BY TWO DIMENSIONAL GADJIEV-IBRAGIMOV TYPE OPERATORS

Volume: 1 Number: 1 January 18, 2019
EN

APPROXIMATION BY TWO DIMENSIONAL GADJIEV-IBRAGIMOV TYPE OPERATORS

Abstract

In the present paper we introduce linear positive operators which are defined in [1] by generalization of Gadjiev-Ibragimov operators and give some approximation properties of these operators in the space of continuous functions of two variables on a compact set. We find certain moments of this operator and estimate for approximation error of the operators in terms of modulus of continuity. Then, we give some approximation properties of these operators.

Keywords

References

  1. Ibragimov I. I., and Gadjiev A. D. (1970) On a certain Family of linear positive operators, Soviet Math. Dokl., English Trans., 11, 1092–1095.
  2. Coskun T. (2012) On the order of weighted approximation by positive linear operators, Turkish J. Math., 36 (1), pp. 113-120.
  3. Aral A. (2003) Approximation by Ibragimov-Gadjiev operators in polynomial weighted space, Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerb., 19 35–44.
  4. Ghorbanalizadeh, A. M. (2014) On the order of weighted approximation of unbounded functions by some generalizations of Gadjiev-Ibragimov operators, J. Appl. Anal., 20, No. 1, 87–92.
  5. Gonul N., Coskun E. (2013) Approximation with modified Gadjiev–Ibragimov operators in C[0,A], J. Comput. Anal. Appl., 15 (5) pp. 868-879.
  6. Gonul N., Coskun E. (2012) Weighted approximation by positive linear operators, Proceedings of IMM of NAS of Azerbaijan, , vol. XXXVI (XLIV), pp. 41-50.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

January 18, 2019

Submission Date

December 5, 2018

Acceptance Date

December 27, 2018

Published in Issue

Year 2019 Volume: 1 Number: 1

APA
Gönül Bilgin, N., & Özgür, N. (2019). APPROXIMATION BY TWO DIMENSIONAL GADJIEV-IBRAGIMOV TYPE OPERATORS. Ikonion Journal of Mathematics, 1(1), 1-10. https://izlik.org/JA36DN44GJ
AMA
1.Gönül Bilgin N, Özgür N. APPROXIMATION BY TWO DIMENSIONAL GADJIEV-IBRAGIMOV TYPE OPERATORS. ikjm. 2019;1(1):1-10. https://izlik.org/JA36DN44GJ
Chicago
Gönül Bilgin, Nazmiye, and Numan Özgür. 2019. “APPROXIMATION BY TWO DIMENSIONAL GADJIEV-IBRAGIMOV TYPE OPERATORS”. Ikonion Journal of Mathematics 1 (1): 1-10. https://izlik.org/JA36DN44GJ.
EndNote
Gönül Bilgin N, Özgür N (January 1, 2019) APPROXIMATION BY TWO DIMENSIONAL GADJIEV-IBRAGIMOV TYPE OPERATORS. Ikonion Journal of Mathematics 1 1 1–10.
IEEE
[1]N. Gönül Bilgin and N. Özgür, “APPROXIMATION BY TWO DIMENSIONAL GADJIEV-IBRAGIMOV TYPE OPERATORS”, ikjm, vol. 1, no. 1, pp. 1–10, Jan. 2019, [Online]. Available: https://izlik.org/JA36DN44GJ
ISNAD
Gönül Bilgin, Nazmiye - Özgür, Numan. “APPROXIMATION BY TWO DIMENSIONAL GADJIEV-IBRAGIMOV TYPE OPERATORS”. Ikonion Journal of Mathematics 1/1 (January 1, 2019): 1-10. https://izlik.org/JA36DN44GJ.
JAMA
1.Gönül Bilgin N, Özgür N. APPROXIMATION BY TWO DIMENSIONAL GADJIEV-IBRAGIMOV TYPE OPERATORS. ikjm. 2019;1:1–10.
MLA
Gönül Bilgin, Nazmiye, and Numan Özgür. “APPROXIMATION BY TWO DIMENSIONAL GADJIEV-IBRAGIMOV TYPE OPERATORS”. Ikonion Journal of Mathematics, vol. 1, no. 1, Jan. 2019, pp. 1-10, https://izlik.org/JA36DN44GJ.
Vancouver
1.Nazmiye Gönül Bilgin, Numan Özgür. APPROXIMATION BY TWO DIMENSIONAL GADJIEV-IBRAGIMOV TYPE OPERATORS. ikjm [Internet]. 2019 Jan. 1;1(1):1-10. Available from: https://izlik.org/JA36DN44GJ