A new bound for the Jensen gap pertaining twice differentiable functions with applications
Advances in Difference Equations, 2020•Springer
… In this paper, we present a new bound for the Jensen gap with the help of a Green
function. Using the bound, we deduce a converse of the Hölder inequality as well. Finally,
we present some … 2, we present a new bound for the Jensen gap for functions whose
absolute values of the second derivative are convex, followed by a remark and a
proposition presenting a converse of the Hölder inequality. In Sect. 3, we give …
function. Using the bound, we deduce a converse of the Hölder inequality as well. Finally,
we present some … 2, we present a new bound for the Jensen gap for functions whose
absolute values of the second derivative are convex, followed by a remark and a
proposition presenting a converse of the Hölder inequality. In Sect. 3, we give …
Abstract
In this paper, we present a new bound for the Jensen gap with the help of a Green function. Using the bound, we deduce a converse of the Hölder inequality as well. Finally, we present some applications of the main result in information theory.
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