Results 31 to 40 of about 9,539 (252)

Generalized convex functions and generalized differentials [PDF]

open access: yesOptimization, 2011
We study some classes of generalized convex functions, using a generalized differential approach. By this we mean a set-valued mapping which stands either for a derivative, a subdifferential or a pseudo-differential in the sense of Jeyakumar and Luc. Such a general framework allows us to avoid technical assumptions related to specific constructions. We
Nguyen Thi Hong Linh, Jean-Paul Penot
openaire   +1 more source

From Geometry to Function: Programmable Mechanical Response in 3D‐Printed Adipose‐Inspired Soft Metamaterials

open access: yesAdvanced Functional Materials, EarlyView.
Geometry‐driven design of soft cellular metamaterials is systematically investigated by combining experiments, finite element modeling, and statistical prediction. The study quantifies how unit cell geometry and material properties govern stiffness, instability, densification, and energy absorption.
Alice Berardo   +4 more
wiley   +1 more source

Coincidence of Nodes for Generalized Convex Functions [PDF]

open access: yesCanadian Mathematical Bulletin, 1980
In a recent paper [1] I. B. Lazarevic announced an extension of results of L. Tornheim [2; Theorems 2 & 3] concerning points of contact between two distinct members of an n-parameter family and between a member of an n-parameter family and a corresponding convex function.
openaire   +2 more sources

Increasing Inter‐Micellar Connectivity Toughens and Imparts Cooling‐Induced Shape Memory in Micellar Hydrogels

open access: yesAdvanced Functional Materials, EarlyView.
Oligomerizing Pluronic triblock copolymers provides a processing strategy for tuning the mechanical properties and stimuli‐responsive behaviors of micellar hydrogels. Varying oligomer fraction produces hydrogels spanning brittle to highly extensible responses; maintaining micellar architectures enables cooling‐induced reverse thermal shape memory and ...
Gourav Kumbhojkar   +8 more
wiley   +1 more source

Constraint Qualifications for Vector Optimization Problems in Real Topological Spaces

open access: yesAxioms, 2023
In this paper, we introduce a series of definitions of generalized affine functions for vector-valued functions by use of “linear set”. We prove that our generalized affine functions have some similar properties to generalized convex functions.
Renying Zeng
doaj   +1 more source

Topology and Material Optimization in Ultra‐Soft Magneto‐Active Structures: Making Advantage of Residual Anisotropies

open access: yesAdvanced Materials, EarlyView.
Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia   +3 more
wiley   +1 more source

Generalized Beta-Convex Functions and Integral Inequalities

open access: yesInternational Journal of Analysis and Applications, 2017
In this paper, we introduce the concept of generalized beta-convex functions. This new class of convex functions includes several new and previous known classes of convex functions as special cases.
Bandar Bin-Mohsin   +5 more
doaj   +2 more sources

A generalization of Hadamard’s inequality for convex functions

open access: yesApplied Mathematics Letters, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Mechanistically Interpretable Artificial Intelligence for Designing Oxygen Electrocatalysts

open access: yesAdvanced Materials, EarlyView.
Mechanistically interpretable artificial intelligence screens nearly seven million perovskite compositions and identifies key descriptors—d‐p hybridization and densification resistance—that govern oxygen electrocatalysis. The discovered BaCo0.8Nb0.1Zr0.1O3‐δ achieves a record 2.68 W cm−2 peak power density at 600°C with over 500 h of durable operation ...
Xueyu Hu   +15 more
wiley   +1 more source

Some new Simpson-type inequalities for generalized p-convex function on fractal sets with applications

open access: yesAdvances in Difference Equations, 2020
The present article addresses the concept of p-convex functions on fractal sets. We are able to prove a novel auxiliary result. In the application aspect, the fidelity of the local fractional is used to establish the generalization of Simpson-type ...
Thabet Abdeljawad   +4 more
doaj   +1 more source

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