Approximation for Gupta type general operators based on Mihean basis functions

Author:

Garg Sangeeta1

Affiliation:

1. GL Bajaj Institute of Technology and Management, Greater Noida (UP), India

Abstract

Recently Indian known mathematician V. Gupta introduced a general family of linear positive operators, which produces a large number of well-known linear positive operators as particular cases. The family of operators, proposed by Gupta provides a unified approach. This motivated us to extend the studies and we establish some convergence estimates which include an asymptotic formula and the rate of convergence for the function having derivatives of bounded variation.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference22 articles.

1. O. Agratini, On a sequence of linear and positive operators, Facta Univ., Ser. Math. Inf. 14 (1999), 41-48.

2. R. P. Agrawal, V. Gupta, On q-analogue of a complex summation-integral type operators in compact disks, J. Inequal. Appl. 2012(1) (2012), 111.

3. A. Aral, V. Gupta, Generalized q-Baskakov operators, Math. Slovaca 61(4) (2011), 619-634.

4. R. A. DeVore, G. G. Lorentz, Constructive Approximation, Springer, Berlin, 1993.

5. J. L. Durrmeyer, Une formule d'inversion de la Transformee de Laplace, Applications a la Theorie des Moments, These de 3e Cycle, Faculte des Sciences de l'Universite de Paris, 1967.

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