Second derivative Lipschitz type inequalities for an integral transform of positive operators in Hilbert spaces

For a continuous and positive function w (λ), λ > 0 and µ a positive measure on (0, ∞) we consider the following integral transform D (w, µ) (T ) := ∫0∞w (λ) (λ + T ) −1 dµ (λ) , where the integral is assumed to exist for T a positive operator on a complex Hilbert space H. We show among other...

Full description

Bibliographic Details
Main Author: S.S. Dragomir
Format: Article
Language:English
Published: University of Extremadura 2022-10-01
Series:Extracta Mathematicae
Subjects:
Online Access:https://publicaciones.unex.es/index.php/EM/article/view/1781