Results 51 to 60 of about 5,544,078 (251)
Bayesian inference for linear models subject to linear inequality constraints
The normal linear model, with sign or other linear inequality constraints on its coefficients, arises very commonly in many scientific applications. Given inequality constraints Bayesian inference is much simpler than classical inference, but standard ...
John Geweke
semanticscholar +1 more source
Reverses of Ando's and Hölder-Macarty's inequalities [PDF]
In this paper, we give some reverse-types of Ando's and H\"older-McCarthy's inequalities for positive linear maps, and positive invertible operators. For our purpose, we use a recently improved Young inequality and its reverse.
arxiv
Some inequalities on $h$-convex functions [PDF]
In this paper, we state some characterizations of $h$-convex function is defined on a convex set in a linear space. By doing so, we extend the Jensen-Mercer inequality for $h$-convex function. We will also define $h$-convex function for operators on a Hilbert space and present the operator version of the Jensen-Mercer inequality.
arxiv
An inequality for continuous linear functionals
AbstractLet n>1 be an integer, f∈Cn[a,b], and A:C[a,b]→R a continuous linear functional which annihilates all polynomials of degree at most n−1. We give sharp inequalities of the form |A(f)|≤Mk‖f(k)‖2, k=2,…,n.
Mircea Ivan, Ioan Gavrea
openaire +2 more sources
On Some Discrete Inequalities in Normed Linear Spaces [PDF]
Some sharp discrete inequalities in normed linear spaces are obtained. New reverses of the generalised triangle inequality are also given.
arxiv
Non-Shannon Information Inequalities in Four Random Variables [PDF]
Any unconstrained information inequality in three or fewer random variables can be written as a linear combination of instances of Shannon's inequality I(A;B|C) >= 0 . Such inequalities are sometimes referred to as "Shannon" inequalities. In 1998, Zhang and Yeung gave the first example of a "non-Shannon" information inequality in four variables.
arxiv
Harnack inequality and no-arbitrage bounds for self-financing portfolios [PDF]
We give a direct proof of the Harnack inequality for a class of Kolmogorov operators associated with a linear SDE and we find the explicit expression of the optimal Harnack constant.
Carciola, Alessandro+2 more
core +1 more source
Complete linear proofs of systems of linear inequalities
Rabin has investigated the difficulty of proving that a set of linear forms is simultaneously positive by the evaluation of analytic functions. In this paper we study this same question under the restriction that each analytic function itself be linear.
openaire +3 more sources
Operator extensions of Hua's inequality [PDF]
We give an extension of Hua's inequality in pre-Hilbert $C^*$-modules without using convexity or the classical Hua's inequality. As a consequence, some known and new generalizations of this inequality are deduced. Providing a Jensen inequality in the content of Hilbert $C^*$-modules, another extension of Hua's inequality is obtained. We also present an
arxiv
Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation [PDF]
Hermann Weyl
openalex +1 more source