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S. S. Dragomir and I. Fedotov:On Numerical Evaluation of the Winding Number of a Plane Vector Field, p.61-70

Abstract:

In this paper we prove a new inequality of Grüss type for the Riemann-Stieltjes line integral, which gives the possibility of numerically evaluating line integrals of continuous Lipschitzian functions.

Key Words: Grüss inequality, line Riemann-Stieltjes integral, quadrature methods, Poincaré formula, winding number (index) of a vector field.

2000 Mathematics Subject Classification: Primary: Primary: 26D15, 26D20,
Secondary: 41A55.

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