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Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string

100%

Emamizadeh B., Farjudian A.

Nonautonomous Dynamical Systems

2014

tom 1

nr 1

In this paper we consider a parametric eigenvalue problem related to a vibrating string which is constructed out of two different materials. Using elementary analysis we show that the corresponding principal eigenvalue is increasing with respect to the parameter. Using a rearrangement technique we recapture a part of our main result, in case the difference between the densities of the two materials is sufficiently small. Finally, a simple numerical algorithm will be presented which will also provide further insight into the dynamics of the non-principal eigenvalues of the system.

Improved Heinz inequalities via the Jensen functional

84%

Krnić M., Pečarić J.

Open Mathematics

2013

tom 11

nr 9

1698-1710

By virtue of convexity of Heinz means, in this paper we derive several refinements of Heinz norm inequalities with the help of the Jensen functional and its properties. In addition, we discuss another approach to Heinz operator means which is more convenient for obtaining the corresponding operator inequalities for positive invertible operators.

Ograniczanie wyników

1 Nonautonomous Dynamical Systems

1 Open Mathematics

1 Emamizadeh B.

1 Farjudian A.

1 Krnić M.

1 Pečarić J.

1 2014

1 2013

Wyniki wyszukiwania

Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string

Improved Heinz inequalities via the Jensen functional