Approximation properties of generalized Jain operators
Open Access
- 1 January 2016
- journal article
- research article
- Published by National Library of Serbia in Filomat
- Vol. 30 (9) , 2359-2366
Abstract
In this paper, we investigate a variant of the Jain operators, which preserve the linear functions. We compute the rate of convergence of these operators with the help of K-functional. We also introduce modifications of the Jain operators based on the models in [4] and [10]. These modified operators yield better error estimates than the Jain operators.Keywords
This publication has 4 references indexed in Scilit:
- Quantitative Global Estimates for Generalized Double Szasz-Mirakjan OperatorsJournal of Applied Mathematics, 2013
- Approximation properties of a class of linear operatorsMathematical Methods in the Applied Sciences, 2013
- Szász–Mirakjan type operators providing a better error estimationApplied Mathematics Letters, 2007
- Generalization of Bernstein's polynomials to the infinite intervalJournal of Research of the National Bureau of Standards, 1950