Results 31 to 40 of about 482,837 (303)

A note on convex functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
In this paper, we give two weak conditions for a lower semi-continuous function on the n-dimensional Euclidean space Rn to be a convex function. We also present some results for convex functions, strictly convex functions, and quasi-convex functions.
Yu-Ru Syau
doaj   +1 more source

Certain subclasses of uniformly convex functions of order α and type β with varying arguments

open access: yesJournal of the Egyptian Mathematical Society, 2013
In this paper, we define a new subclass of k-uniformly convex functions order α type β with varying argument of coefficients and obtain coefficient estimates.
N. Magesh
doaj   +1 more source

On uniformly convex functions [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2022
Non-convex functions that yet satisfy a condition of uniform convexity for non-close points can arise in discrete constructions. We prove that this sort of discrete uniform convexity is inherited by the convex envelope, which is the key to obtain other remarkable properties such as the coercivity.
M. Raja, Guillaume Grelier
openaire   +3 more sources

Inequalities of Hermite-Hadamard Type

open access: yesMoroccan Journal of Pure and Applied Analysis, 2015
Some inequalities of Hermite-Hadamard type for λ-convex functions defined on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well.
Dragomir S. S.
doaj   +1 more source

INEQUALITIES OF HERMITE-HADAMARD TYPE FOR HG-CONVEX FUNCTIONS

open access: yesПроблемы анализа, 2017
Some inequalities of Hermite-Hadamard type for HGconvex functions defined on positive intervals are given. Applications for special means are also provided.
S. S. Dragomir
doaj   +1 more source

Half convex functions [PDF]

open access: yesJournal of Inequalities and Applications, 2014
The paper provides the characteristic properties of half convex functions. The analytic and geometric image of half convex functions is presented using convex combinations and support lines. The results relating to convex combinations are applied to quasi-arithmetic means.
openaire   +2 more sources

Convex relaxations of componentwise convex functions

open access: yesComputers & Chemical Engineering, 2019
Published by Elsevier Science, Amsterdam [u.a.]
Najman, Jaromil   +2 more
openaire   +3 more sources

Convex Multivariable Trace Functions

open access: yes, 2001
For any densely defined, lower semi-continuous trace \tau on a C*-algebra A with mutually commuting C*-subalgebras A_1, A_2, ... A_n, and a convex function f of n variables, we give a short proof of the fact that the function (x_1, x_2, ..., x_n ...
Lieb, Elliott H., Pedersen, Gert K.
core   +1 more source

Conic geometric optimisation on the manifold of positive definite matrices

open access: yes, 2014
We develop \emph{geometric optimisation} on the manifold of Hermitian positive definite (HPD) matrices. In particular, we consider optimising two types of cost functions: (i) geodesically convex (g-convex); and (ii) log-nonexpansive (LN).
Hosseini, Reshad, Sra, Suvrit
core   +1 more source

Precision‐Optimised Post‐Stroke Prognoses

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Current medicine cannot confidently predict who will recover from post‐stroke impairments. Researchers have sought to bridge this gap by treating the post‐stroke prognostic problem as a machine learning problem, reporting prediction error metrics across samples of patients whose outcomes are known.
Thomas M. H. Hope   +4 more
wiley   +1 more source

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