Results 71 to 80 of about 11,297,589 (365)
Some concepts of generalized convex functions (I)
Journal 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
A geometric approach to second-order differentiability of convex functions [PDF]
arXiv, 2023 We show a new, elementary and geometric proof of the classical Alexandrov theorem about the second order differentiability of convex functions. We also show new proofs of recent results about Lusin approximation of convex functions and convex bodies by $C^{1,1}$ convex functions and convex bodies.
arxiv
Convex combinations, barycenters and convex functions [PDF]
Journal of Inequalities and Applications, 2013 The article first shows one alternative definition of convexity in the discrete case. The correlation between barycenters, Jensen's inequality and convexity is studied in the integral case. The Hermite-Hadamard inequality is also obtained as a consequence of a concept of barycenters.
openaire +2 more sources
Integral Inequalities Involving Strongly Convex Functions
Journal of Function Spaces, 2018 We study the notions of strongly convex function as well as F-strongly convex function. We present here some new integral inequalities of Jensen’s type for these classes of functions.
Ying-Qing Song +3 more
semanticscholar +1 more source
Advanced Engineering Materials, EarlyView.Temporal power modulation increases weld depth in high‐power laser beam welding of dissimilar round bars by nearly 20% compared to same average continuously welded welding power. The mechanism of action also applies to sheet welding and depends on the inertia of keyhole depth for the modulated laser beam power.
Jan Grajczak +7 more
wiley +1 more source
A class of analytic functions related to convexity and functions with bounded turning
AIMS Mathematics, 2020 In this paper, we define a new subclass k-Q(α) of analytic functions, which generalizes the class of k-uniformly convex functions. Various interesting relationships between k-Q(α) and the class B(δ) of functions with bounded turning are derived.
Zhi-Gang Wang +4 more
doaj +1 more source
Recent Progress on Integrally Convex Functions [PDF]
arXiv, 2022 Integrally convex functions constitute a fundamental function class in discrete convex analysis, including M-convex functions, L-convex functions, and many others. This paper aims at a rather comprehensive survey of recent results on integrally convex functions with some new technical results.
arxiv
Handling convexity-like constraints in variational problems
, 2014 We provide a general framework to construct finite dimensional approximations of the space of convex functions, which also applies to the space of c-convex functions and to the space of support functions of convex bodies.
Mérigot, Quentin, Oudet, Edouard
core +3 more sources
Simulation of Inhomogeneous Refractive Index Fields Induced by Hot Tailored Forming Components
Advanced Engineering Materials, EarlyView.This article presents a simulation model for simulating inhomogeneous refractive index fields (IRIF) in hot‐forged components, accounting for thermal influences and complex geometries. Through this simulation, a priori knowledge about the propagation of the IRIF can be obtained, allowing for the positioning of the component or an optical measurement ...
Pascal Kern +3 more
wiley +1 more source
, 2019 For a function defined on a convex set in a Euclidean space, midpoint convexity is the property requiring that the value of the function at the midpoint of any line segment is not greater than the average of its values at the endpoints of the line ...
Moriguchi, Satoko +3 more
core +1 more source