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On the order of weighted approximation of unbounded functions by some generalizations of Gadjiev–Ibragimov operators
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Arash M. Ghorbanalizadeh
Published/Copyright:
April 23, 2014
Abstract.
The generalization of Gadjiev–Ibragimov operators by means of Kantorovich and Kirov–Popova is considered and the order of weighted approximation of unbounded functions are obtained.
Keywords: Weighted modulus of continuity; Gadjiev–Ibragimov operators; weighted space; linear positive operators
The author would like to thank the referees for the attentive reading of the manuscript and for their valuable suggestions which improved the paper considerably.
Received: 2012-9-30
Revised: 2013-4-26
Accepted: 2013-5-15
Published Online: 2014-4-23
Published in Print: 2014-6-1
© 2014 by Walter de Gruyter Berlin/Boston
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Keywords for this article
Weighted modulus of continuity;
Gadjiev–Ibragimov operators;
weighted space;
linear positive operators
Articles in the same Issue
- Frontmatter
- Porosity and the bounded linear regularity property
- Analytic in planar domains functions with preassigned asymptotic set
- Multiplication of the distributions (x±i0)z
- Hermite–Hadamard type inequalities for extended s-convex functions on the co-ordinates in a rectangle
- Modes of ideal continuity and the additive property in the Riesz space setting
- On complex Fermi curves of two-dimensional, periodic Schrödinger operators
- On the geometrical properties of some classes of complex harmonic functions defined by analytic or coefficient conditions with complex parameter
- On the order of weighted approximation of unbounded functions by some generalizations of Gadjiev–Ibragimov operators
- On series whose rearrangements possess discrete sets of limit points
- A system of two conservation laws with flux conditions and small viscosity
