Numerical evaluation of integrals of analytic functions

Abstract

A general formula of degree of precision at least seven for the numerical approximation of integrals of analytic functions along straight line segments has been constructed. Some existing rules as well as some new rules have been obtained as particular cases of the general formula.

Keywords:

• numerical approximation
• degree of precision
• analytic function

CR Categories :

• G.1.4

AMS Subject Classification :

• (1985 Revision) Primary: 65 D 30

Acknowledgements

The authors express their thankfulness to the reviewers for constructive suggestions.