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
- Ibragimov I. I., and Gadjiev A. D. (1970) On a certain Family of linear positive operators, Soviet Math. Dokl., English Trans., 11, 1092–1095.
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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