Better numerical approximation by Durrmeyer type operators
arXiv:1810.06829
Originality Synthesis-oriented
AI Analysis
An incremental improvement in approximation theory for mathematicians working on operator-based numerical methods.
The paper constructs new Durrmeyer type operators with improved convergence properties compared to classical operators, providing theoretical rate-of-convergence results and asymptotic formulas, validated by numerical examples.
The main object of this paper is to construct new Durrmeyer type operators which have better features than the classical one. Some results concerning the rate of convergence and asymptotic formulas of the new operator are given. Finally, the theoretical results are analyzed by numerical examples.