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Extremum conditions for functionals involving higher derivatives of several variable vector valued functions
Variational problems critical points extremum conditions
2011/9/21
Abstract: This paper addresses both necessary and relevant sufficient extremum conditions for a variational problem defined by a smooth Lagrangian, involving higher derivatives of several variable vec...
On Weighted Ostrowski Type Inequalities for Operators and Vector-valued Functions
Ostrowski's Inequality Vector-Valued Functions Bochner Integral
2008/6/27
Some weighted Ostrowski type integral inequalities for operators and vector-valued functions in Banach spaces are given. Applications for linear operators in Banach spaces and differential equations a...
Reverses of the Continuous Triangle Inequality for Bochner Integral of Vector-Valued Functions in Hilbert Spaces
Triangle inequality Reverse inequality Hilbert spaces Bochner integral
2008/6/27
Some reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Hilbert spaces are given. Applications for complex-valued functions are provided as well.
Extension and Separation of Vector Valued Functions
Vector Valued Functions paracompact Hausdorff space
2010/3/5
It is proved that: If X is a paracompact Hausdorff space and E is a Frechet lattice then (X, E) has the separation property. This is employed to extend some varies of functions that are known for spac...
ON AFFINE SELECTION AND SEPARATION OF VECTOR VALUED FUNCTIONS
AFFINE SELECTION VECTOR VALUED FUNCTIONS
2010/3/17
Let K be a Choquet simplex, E a Fr\'{e}chet space and F: K \ra 2E a map such that F(x) is closed and convex for each x \in K. A sufficient condition is given for F to have a continuous affine selectio...