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

• Autorzy: Abdul Wafi , Salma Khatoon
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

Kategorie tematyczne

• 41A36: Approximation by positive operators
• 41A63: Multidimensional problems (should also be assigned at least one other classification number in this section)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2008
• Tom: 6
• Numer: 2
• Strony: 325-334

Daty

wydano

2008-06-01

online

2008-04-15

Twórcy

autor

Abdul Wafi

• Jamia Millia Islamia

autor

Salma Khatoon

• Jamia Millia Islamia

Bibliografia

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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
• [3] Firlej B., Rempulska L., Approximation of functions by some operators of the Szasz-Mirkjan-type, Fasc. Math., 1997, 27, 15–27.
• [4] Gurdek M., Rempulska L., Skorupka M., The Baskakov operators for functions of two variables, Collect. Math., 1999, 50, 289–302
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• [7] Skorupka M., Approximation of functions of two variables by some linear positive operators, Matematiche (Catania), 1995, 50, 323–336
• [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
• [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
• [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
• [11] Wafi A., Khatoon S., Inverse theorem for generalized Baskakov operator, Bull. Calcutta Math. Soc., 2005, 97, 349–360
• [12] You G., Xaun P., Weighted approximation by multidimensional Baskakov operators, J. Math. Res. Exposition, 2000, 20, 43–50

Identyfikatory

DOI

10.2478/s11533-008-0025-9