Results 51 to 60 of about 157 (74)

On approximately convex functions

open access: yes, 1993
The Bernstein-Doetsch theorem on midconvex functions is extended to approximately midconvex functions and to approximately Wright convex functions. Let X be a real vector space, D be a convex subset of X, and c be a nonnegative constant. A function f: D -
C. T. Ng, K. Nikodem
semanticscholar   +1 more source

New duality results for evenly convex optimization problems. [PDF]

open access: yesOptimization, 2021
Fajardo MD, Grad SM, Vidal J.
europepmc   +1 more source

Nonconvex functions and separation by power means

open access: yes, 2000
In this note we show that, for a nonconvex function defined on a real interval, there exists a point where this function behaves like a strictly concave function. Due to this result, global convexity can be characterized as pointwise convexity everywhere.
Zsolt Páles
semanticscholar   +1 more source

On a class of punctual convex functions

open access: yes, 2014
The aim of this paper is to show that the inequality of Jensen for real functions holds under a weaker condition than the usual convexity on an interval. Thus, we introduce the concept of convexity at a point.
A. Florea, Eugen Păltănea
semanticscholar   +1 more source

A new interpretation of Jensen's inequality and geometric properties of φ -means

open access: yesJournal of Inequalities and Applications, 2011
We introduce a mean of a real-valued measurable function f on a probability space induced by a strictly monotone function φ. Such a mean is called a φ-mean of f and written by Mφ (f).
Takahasi Sin-Ei   +2 more
doaj  

A strong convergence theorem on solving common solutions for generalized equilibrium problems and fixed-point problems in Banach space

open access: yesFixed Point Theory and Applications, 2011
In this paper, the common solution problem (P1) of generalized equilibrium problems for a system of inverse-strongly monotone mappings and a system of bifunctions satisfying certain conditions, and the common fixed-point problem (P2) for a family of ...
Qu De-ning, Cheng Cao-zong
doaj  

Investigation of the functions of n-3 very-long-chain PUFAs in skin using in vivo Atlantic salmon and in vitro human and fish skin models. [PDF]

open access: yesBr J Nutr, 2023
Torrissen M   +8 more
europepmc   +1 more source

A note on strong pseudoconvexity

open access: yesOpen Mathematics, 2008
Ivanov Vsevolod
doaj   +1 more source

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