# Convergence and Voronovskaja-type theorems for derivatives of generalized Baskakov operators

Open Mathematics (2008)

- Volume: 6, Issue: 2, page 325-334
- ISSN: 2391-5455

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topAbdul Wafi, and Salma Khatoon. "Convergence and Voronovskaja-type theorems for derivatives of generalized Baskakov operators." Open Mathematics 6.2 (2008): 325-334. <http://eudml.org/doc/269559>.

@article{AbdulWafi2008,

abstract = {In the present paper our aim is to establish convergence and Voronovskaja-type theorems for first derivatives of generalized Baskakov operators for functions of one and two variables in exponential and polynomial weight spaces.},

author = {Abdul Wafi, Salma Khatoon},

journal = {Open Mathematics},

keywords = {exponential weight spaces; derivatives of linear positive operators; convergence and Voronovskaja-type theorems; generalized Baskakov operators; Voronovskaja-type theorems},

language = {eng},

number = {2},

pages = {325-334},

title = {Convergence and Voronovskaja-type theorems for derivatives of generalized Baskakov operators},

url = {http://eudml.org/doc/269559},

volume = {6},

year = {2008},

}

TY - JOUR

AU - Abdul Wafi

AU - Salma Khatoon

TI - Convergence and Voronovskaja-type theorems for derivatives of generalized Baskakov operators

JO - Open Mathematics

PY - 2008

VL - 6

IS - 2

SP - 325

EP - 334

AB - In the present paper our aim is to establish convergence and Voronovskaja-type theorems for first derivatives of generalized Baskakov operators for functions of one and two variables in exponential and polynomial weight spaces.

LA - eng

KW - exponential weight spaces; derivatives of linear positive operators; convergence and Voronovskaja-type theorems; generalized Baskakov operators; Voronovskaja-type theorems

UR - http://eudml.org/doc/269559

ER -

## References

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- [2] Becker M., Kucharski D., Nessel R.J., Global approximation theorems for the Szász-Mirkjan operators in exponential weight spaces, Linear Spaces and Approximation, Birkhäuser Verlag, Basel, ISNM, 1978, 40, 319–333 Zbl0386.41014
- [3] Firlej B., Rempulska L., Approximation of functions by some operators of the Szasz-Mirkjan-type, Fasc. Math., 1997, 27, 15–27. Zbl0898.41017
- [4] Gurdek M., Rempulska L., Skorupka M., The Baskakov operators for functions of two variables, Collect. Math., 1999, 50, 289–302 Zbl0955.41018
- [5] Mihesan V., Uniform approximation with positive linear operators generated by generalized Baskakov method, Automat. Comput. Appl. Math., 1998, 7, 34–37
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- [7] Skorupka M., Approximation of functions of two variables by some linear positive operators, Matematiche (Catania), 1995, 50, 323–336 Zbl0901.41018
- [8] Wafi A., Khatoon S., On the order of approximation of functions by generalized Baskakov operators, Indian J. Pure Appl. Math., 2004, 35, 347–358 Zbl1065.41044
- [9] Wafi A., Khatoon S., Approximation by generalized Baskakov operators for functions of one and two variables in exponential and polynomial weight spaces, Thai J. Math., 2004, 2, 53–66 Zbl1070.41013
- [10] Wafi A., Khatoon S., Direct and inverse theorems for generalized Baskakov operators in polynomial weight spaces, An. Ştiinţ. Univ. Al. I. Cuza laşi. Mat., 2004, 50, 159–173 Zbl1070.41014
- [11] Wafi A., Khatoon S., Inverse theorem for generalized Baskakov operator, Bull. Calcutta Math. Soc., 2005, 97, 349–360 Zbl1087.41021
- [12] You G., Xaun P., Weighted approximation by multidimensional Baskakov operators, J. Math. Res. Exposition, 2000, 20, 43–50 Zbl0954.41013

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