Abstract
A variant of Jessen’s type inequality for a semigroup of positive linear operators, defined on a Banach lattice algebra, is obtained. The corresponding mean value theorems lead to a new family of mean-operators.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference8 articles.
1. Functional Inequalities for Markov Semigroups. Probability Measures on Groups;Bakry,2004
2. Functional Inequalities, Markov Semigroups and Spectral Theory;Wang,2005
3. Harnack Inequalities for Stochastic Partial Differential Equations;Wang,2013
4. Norm Inequalities for Generators of Analytic Semigroups and Cosine Operator Functions
5. Cauchy type means on one-parameter C_0-group of operators