Global approximation theorems for the generalized modified Szasz-Mirakyan operators in polynomial weight spaces

• Autorzy: Świderski T.
• Języki publikacji: EN

Abstrakty

EN

In the present paper we study the modified Szasz-Mirakyan operators. This modification generalizes the integral operators proposed by S. M. Mazhar and V. Totik in [3]. Moreover we present bonduary value problems related to these integrals.

Słowa kluczowe

EN

modified Szasz-Mirakyan operator; approximation theorems

PL

teoria aproksymacji

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 2
• Strony: 383--392
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Świderski T.

• Pedagogical University, Institute of Mathematics, ul. Podchorążych 2, 30-084 Kraków, Poland

Bibliografia

• [1] M. Becker, Global approximation theorem for Szász-Mirakyan and Baskakov operators in polynomial weight spaces, Indiana Univ. Math. J. 27 (1978), 127-142.
• [2] H. S. Kasana, On approximation of unbounded function by linear combinations of modified Szász-Mirakyan operators, Acta Math. Hung. 61 (3-4) (1993), 281-288.
• [3] S. M. Mazhar and V. Totik, Approximation by modified Szász operators, Acta Sci. Math. (Szeged) 49 (1985), 364-383.
• [4] A. Sahai and G. Prasad, On the rate of convergence for modified Szász-Mirakyan operators on functions of bounded variation., Publ. Inst. Math. (Beograd) 53 (67) (1993), 73-80.
• [5] E. Wachnicki, Gauss-Weierstrass generalized integral, Akad. Ped. Krakow, Rocznik Nauk.-Dydakt. 204 Prace Matematyczne 17 (2000), 251-263.