# On an approximation processes in the space of analytical functions

Akif Gadjiev; Arash Ghorbanalizadeh

Open Mathematics (2010)

- Volume: 8, Issue: 2, page 389-398
- ISSN: 2391-5455

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topAkif Gadjiev, and Arash Ghorbanalizadeh. "On an approximation processes in the space of analytical functions." Open Mathematics 8.2 (2010): 389-398. <http://eudml.org/doc/269756>.

@article{AkifGadjiev2010,

abstract = {In this paper we obtain various approximation theorems by means of k-positive linear operators defined on the space of all analytic functions on a bounded domain of the complex plane.},

author = {Akif Gadjiev, Arash Ghorbanalizadeh},

journal = {Open Mathematics},

keywords = {The space of analytical functions; Conformal mapping; Linear k-positive operators; Korovkin type theorems; spaces of analytic functions; linear -positive operators},

language = {eng},

number = {2},

pages = {389-398},

title = {On an approximation processes in the space of analytical functions},

url = {http://eudml.org/doc/269756},

volume = {8},

year = {2010},

}

TY - JOUR

AU - Akif Gadjiev

AU - Arash Ghorbanalizadeh

TI - On an approximation processes in the space of analytical functions

JO - Open Mathematics

PY - 2010

VL - 8

IS - 2

SP - 389

EP - 398

AB - In this paper we obtain various approximation theorems by means of k-positive linear operators defined on the space of all analytic functions on a bounded domain of the complex plane.

LA - eng

KW - The space of analytical functions; Conformal mapping; Linear k-positive operators; Korovkin type theorems; spaces of analytic functions; linear -positive operators

UR - http://eudml.org/doc/269756

ER -

## References

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- [2] Altomare F., Campiti M., Korovkin-type approximation theory and its applications, In: de Gruyter Studies in Mathematics, Vol. 17, Walter de Gruyter and Co, Berlin, 1994 Zbl0924.41001
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- [7] Gadžiev A.D., A problem on the convergence of a sequence of positive linear operators on unbounded sets, and theorems that are analogous to P. P. Korovkin’s theorem, Dokl. Akad. Nauk SSSR, 218, 1974, 1001–1004 (in Russian)
- [8] Gadjiev A.D., Theorems of the type of P.P. Korovkin theorems, Mat. Zametki, 1976, 20, 781–786(in Russian)
- [9] Gadjiev A.D., Orhan C., Some approximation theorems via statistical convergence, Rocky Mountain J. Math., 2002, 32, 129–138 http://dx.doi.org/10.1216/rmjm/1030539612 Zbl1039.41018
- [10] Hacisalihoglu H.H., Gadjiev A.D., On convergence of the sequences of linear positive operators, Ankara University Press, Ankara, 1995 (in Turkish)
- [11] İspir N., Convergence of sequences of k-positive linear operators in subspaces of the space of analytic functions, Hacet. Bull. Nat. Sci. Eng. Ser. B, 1999, 28, 47–53 Zbl0940.41010
- [12] İspir N., Atakut Ç., On the convergence of a sequence of positive linear operators on the space of m-multiple complex sequences, Hacet. Bull. Nat. Sci. Eng. Ser. B, 2000, 29, 47–54 Zbl1094.41014
- [13] Özarslan M.A., I-convergence theorems for a class of k-positive linear operators, Cent. Eur. J. Math., 2009, 7, 357–362 http://dx.doi.org/10.2478/s11533-009-0017-4 Zbl1179.41005

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