Rate of convergence for certain mixed family of linear positive operators

• Autorzy: Maheshwari P. , Sharma D.
• Języki publikacji: EN

Abstrakty

EN

The present paper deals with the mixed integrated operators Mn(f; x); which are linear and positive having different basis functions in summation and integration respectively. We estimate the rate of convergence for these operators for functions which have derivatives of bounded variation.

Słowa kluczowe

EN

linear positive operator; Baskakov operator; Szasz Beta operator; mixed operator; rate of convergence

PL

operator liniowy; operator dodatni; operator Baskakov; operator Szasz Beta; operator mieszany; szybkość zbieżności

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2010
• Tom: Vol. 33
• Strony: 73--78
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Maheshwari P.

autor

Sharma D.

• Department of Mathematics, SRM University, NCR Campus Modinagar, (U.P.) 201204,

Bibliografia

• [1] U. Abel, V. Gupta and M. Ivan, Asymptotic approximation of functions and their derivatives by generalized Baskakov-Szasz-Durrmeyer operators, Analysis in Theory and Application 21 (1) (2005), 15-26.
• [2] P. N. Agrawal and A. J. Mohammad, Linear combination of a new sequence of linear positive operators, Revista de la U.M.A. 44(1) (2003),33-41.
• [3] P. N. Agrawal and A. J. Mohammad,On simultaneous approximation by a linear combination of a new sequence of linear positive operators, Turk J. Math. 28 (4) (2004), 353-365.
• [4] R. Bojanic and F. Cheng, Rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation J. Math. Anal. Appl. 141 (1989), no. 1, 136-151.
• [5] V. Gupta and P. N. Agrawal,Rate of convergence for certain Baskakov Durrmeyer type operators, Anal. Univ. Ordea Fasc. Math. 14 (2007), 33-39.
• [6] V. Gupta and M. A. Noor, Convergence of derivatives for certain mixed Szasz Beta operators, J. Math. Anal. Appl. 321 (1) (2006), 1-9.
• [7] V. Gupta and J. Sinha, Simultaneous approximation for generalized Baskakov-Durrmeyer type operators, Mediterranean Journal of Mathematics 4 (4) (2007), 483-495.
• [8] H. M. Srivastava, Z. Finta and V. Gupta, Convergence of a certain family of summation integral type operators, Applied Mathematics and Computation 190 (2007), 449-457.