On positive linear functionals and operators associated with generalized means

2021 ◽  
pp. 125278
Author(s):  
Francesco Altomare
Keyword(s):  
Linear Functionals ◽  
Positive Linear Functionals

Interval oscillation criteria for self-adjoint matrix Hamiltonian systems

2005 ◽  
Vol 135 (5) ◽  
pp. 1085-1108 ◽  
Author(s):  
Qigui Yang ◽  
Yun Tang
Keyword(s):  
Hamiltonian Systems ◽  
Half Line ◽  
Linear Functionals ◽  
Matrix Space ◽  
Differential Systems ◽  
Adjoint Matrix ◽  
Oscillation Criteria ◽  
Positive Linear Functionals ◽  
Interval Oscillation ◽  
New Criteria

By using a monotonic functional on a suitable matrix space, some new oscillation criteria for self-adjoint matrix Hamiltonian systems are obtained. They are different from most known results in the sense that the results of this paper are based on information only for a sequence of subintervals of [t0, ∞), rather than for the whole half-line. We develop new criteria for oscillations involving monotonic functionals instead of positive linear functionals or the largest eigenvalue. The results are new, even for the particular case of self-adjoint second-differential systems which can be applied to extreme cases such as

INEQUALITIES OF JENSEN’S TYPE FOR POSITIVE LINEAR FUNCTIONALS ON HERMITIAN UNITAL BANACH -ALGEBRAS

2020 ◽  
Vol 102 (2) ◽  
pp. 308-318
Author(s):  
S. S. DRAGOMIR
Keyword(s):  
Convex Functions ◽  
Banach Algebras ◽  
General Setting ◽  
Linear Functionals ◽  
Positive Linear Functionals ◽  
Hermitian Unital

We establish inequalities of Jensen’s and Slater’s type in the general setting of a Hermitian unital Banach $\ast$-algebra, analytic convex functions and positive normalised linear functionals.

A mean-value theorem for positive linear functionals

2019 ◽  
Vol 189 (4) ◽  
pp. 675-681
Author(s):  
Mircea Ivan ◽  
Vicuta Neagos ◽  
Andra-Gabriela Silaghi
Keyword(s):  
Mean Value ◽  
Mean Value Theorem ◽  
Linear Functionals ◽  
Positive Linear Functionals
Sign in / Sign up

Export Citation Format

Share Document