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Application of a Trapezoid Inequality to Neutral Fredholm Integro-Differential Equations in Banach Spaces
Nonlinear neutral Fredholm integro-differential equations in Banach spaces Perov's fixed point theorem Method of successive approximations Trapezoidal quadrature rule
2008/7/3
A new approach for neutral Fredholm integro-differential equations in Banach spaces, using the Perov's fixed point theorem of existence, uniqueness and approximation is presented. The approximation of...
Note on the Perturbed Trapezoid Inequality
Grüss inequality Perturbed trapezoid inequality Sharp bounds
2008/6/27
In this paper we utilize a variant of the Grüss inequality to obtain some new perturbed trapezoid inequalities. We improve the error bound of the trapezoid rule in numerical integration in some recent...
A Generalized Trapezoid Inequality for Functions of Bounded Variation
Trapezoid inequality bounded variation numerical integration beta function
2010/3/1
We establish a generalization of a recent trapezoid inequality for functions of bounded variation. A number of special cases are considered. Applications are made to quadrature formulae, probability t...