Results 31 to 40 of about 477,899 (203)

Ostrowski-Type Fractional Integral Inequalities: A Survey

open access: yesFoundations, 2023
This paper presents an extensive review of some recent results on fractional Ostrowski-type inequalities associated with a variety of convexities and different kinds of fractional integrals.
Muhammad Tariq   +2 more
doaj   +1 more source

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

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

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

Some concepts of generalized convex functions (I)

open access: yesJournal of Numerical Analysis and Approximation Theory, 2002
An extension of the concept of convex function is given in a very general framework provided by a set in which a general convexity for its subsets is defined.
Liana Lupşa, Gabriela Cristescu
doaj   +2 more sources

Convex Functions in ACL2(r) [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2018
This paper builds upon our prior formalisation of R^n in ACL2(r) by presenting a set of theorems for reasoning about convex functions. This is a demonstration of the higher-dimensional analytical reasoning possible in our metric space formalisation of R ...
Carl Kwan, Mark R. Greenstreet
doaj   +1 more source

The Schur-convexity of the mean of a convex function

open access: yesApplied Mathematics Letters, 2009
AbstractThe Schur-convexity at the upper and lower limits of the integral for the mean of a convex function is researched. As applications, a form with a parameter of Stolarsky’s mean is obtained and a relevant double inequality that is an extension of a known inequality is established.
Chun Gu, Huan-Nan Shi, Da-Mao Li
openaire   +2 more sources

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