Rate of approximation for integrated Szasz-Mirakyan operators

• Autorzy: Dubey D. , Jain V.
• Języki publikacji: EN

Abstrakty

EN

Recently Jain et al. [3] proposed an integral modification of Szasz-Mirakyan operators Sn,alpha(f,x),alpha > O and studied some direct approximation theorems in simultaneous approximation. The present paper deals with the rate of approximation of such operators, for functions which have derivatives of bounded variation.

Słowa kluczowe

EN

approximation; Szasz-Mirakyan operator

PL

aproksymacja; operatory Szasz-Mirakyana; wariacja ograniczona

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2008
• Tom: Vol. 41, nr 4
• Strony: 879--886
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Dubey D.

autor

Jain V.

• Department of Mathematics Bareilly College Bareilly 243001, India,

Bibliografia

• [1] R. Bojanic and F. Cheng, Rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation, J. Math. Anal. Appl. 141 (1989), 136-151.
• [2] D. K. Dubey and V. K. Jain, On the iterative combinations of Szasz-Mirakyan-Durrmeyer operators, Anal. Univ. Oradea Fasc. Math., in press.
• [3] S. Jain, D. K. Dubey and R. K. Gangwar, Rate of approximation for certain Szasz-Mirakyan-Durrmeyer operators, Georgian Math. J., to appear.
• [4] V. Gupta and P. N Agrawal, Rate of convergence for certain Baskakov Durrmeyer type operators, Anal. Univ. Oradea Fasc. Math. 14 (2007), 33-39.
• [5] V. Gupta and J. Sinha, Direct results on certain Szasz-Mirakyan operators, Appl. Math Comput. 195 (2008), 230-239.
• [6] V. Gupta, G. S. Srivastava and A. Sahai, On simultaneous approximation by Szasz Beta operators, Soochow J. Math. 21(1) (1995), 1-11.