Results 71 to 80 of about 552 (144)

On the Hessian matrix and Minkowski addition of quasiconvex functions

open access: yes, 2007
We study the class Q of quasiconvex functions (i.e. functions with convex sublevel sets), by associating to every u∈Q∩C(Rn) a function H:Rn×R→R∪{±∞}, such that H(X,t) is nondecreasing in t and sublinear in X: for every fixed t, the function H(⋅,t) is ...
Salani, Paolo, Longinetti, Marco
core   +1 more source

Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals

open access: yesInternational Journal of Analysis and Applications, 2018
The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola ...
Erhan Set, Ilker Mumcu
doaj   +2 more sources

On the Extension of Continuous Quasiconvex Functions

open access: yes, 2020
We study the problem of extending continuous quasiconvex real-valued functions from a subspace of a real normed linear space. Our results are essentially finite-dimensional and are based on a technical lemma which permits to “extend” a nested family of ...
De Bernardi, C. A.
core   +1 more source

On the quasiconvex exposed points

open access: yes, 2001
The notion of quasiconvex exposed points is introduced for compact sets of matrices, motivated from the variational approach to material microstructures.
Kewei Zhang, Zhang, Kewei
core   +1 more source

Subdifferential calculus for a quasiconvex function with generator

open access: yes, 2011
Recently, we discussed optimality conditions for quasiconvex programming by introducing ‘Q-subdifferential’, which is a notion of differential of quasiconvex functions.
Satoshi Suzuki   +3 more
core   +2 more sources

Data-driven Tissue Mechanics with Polyconvex Neural Ordinary Differential Equations. [PDF]

open access: yesComput Methods Appl Mech Eng, 2022
Tac V, Sahli Costabal F, Tepole AB.
europepmc   +1 more source

Convex and quasiconvex functions on trees and their applications

open access: yes, 2017
We introduce convex and quasiconvex functions on trees and prove that for a tree the eccentricity, transmission and weight functions are strictly quasiconvex. It is shown that the Perron vector of the distance matrix is strictly convex whereas the Perron
M. Nath   +7 more
core   +1 more source

Fejér and Hermite-Hadamard Type Inequalities for N-Quasiconvex Functions

open access: yes, 2017
Some new extensions and re finements of Hermite – Hadamard and Fejer type inequalities for functions which are N -quasiconvex are derived and ...
Abramovich, S   +3 more
core   +1 more source

Improved Adaptive Sliding Mode Control Using Quasi-Convex Functions and Neural Network-Assisted Time-Delay Estimation for Robotic Manipulators

open access: yesSensors
This study presents an adaptive sliding mode control strategy tailored for robotic manipulators, featuring a quasi-convex function-based control gain and a time-delay estimation (TDE) enhanced by neural networks.
Jin Woong Lee   +5 more
doaj   +1 more source

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