Results 61 to 70 of about 1,126,227 (356)
AIMS Mathematics, 2021 In this paper we give Hadamard inequalities for exponentially (α,h−m)-convex functions using Riemann-Liouville fractional integrals for strictly increasing function.
Yu-Pei Lv +4 more
doaj +1 more source
Convex Multivariable Trace Functions
, 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
Directed Discrete Midpoint Convexity [PDF]
arXiv, 2020 For continuous functions, midpoint convexity characterizes convex functions. By considering discrete versions of midpoint convexity, several types of discrete convexities of functions, including integral convexity, L$^\natural$-convexity and global/local discrete midpoint convexity, have been studied.
arxiv
The Schur-convexity of the mean of a convex function
Applied 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
Smart Rubber Extrusion Line Combining Multiple Sensor Techniques for AI‐Based Process Control
Advanced Engineering Materials, EarlyView.This publication presents a digitalization approach for a laboratory rubber extrusion line, employing innovative measurement methods and artificial intelligence (AI)‐based process control. The results demonstrate that the measurement systems are capable of detecting changes in the process and extrudate quality.
Alexander Aschemann +18 more
wiley +1 more source
New Generalization of Geodesic Convex Function
Axioms, 2023 As a generalization of a geodesic function, this paper introduces the notion of the geodesic φE-convex function. Some properties of the φE-convex function and geodesic φE-convex function are established.
Ohud Bulayhan Almutairi, Wedad Saleh
doaj +1 more source
A universal bound on the variations of bounded convex functions [PDF]
, 2015 Given a convex set $C$ in a real vector space $E$ and two points $x,y\in C$, we investivate which are the possible values for the variation $f(y)-f(x)$, where $f:C\longrightarrow [m,M]$ is a bounded convex function. We then rewrite the bounds in terms of
Kwon, Joon
core
, 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
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