Results 51 to 60 of about 2,821,191 (109)

A randomized sequential cross‐over trial evaluating five purportedly ICP‐lowering drugs in idiopathic intracranial hypertension

Headache: The Journal of Head and Face Pain, Volume 65, Issue 2, Page 258-268, February 2025.
Abstract Objective To gain initial insight into the efficacy to lower intracranial pressure (ICP), side effects, and effects on cognition of five drugs commonly used to treat idiopathic intracranial hypertension (IIH). Background Limited clinical data exist for the treatment for IIH.
James L. Mitchell, Hannah S. Lyons, Jessica K. Walker, Andreas Yiangou, Mark Thaller, Olivia Grech, Zerin Alimajstorovic, Georgios Tsermoulas, Kristian Brock, Susan P. Mollan, Alexandra J. Sinclair   +10 more
wiley   +1 more source

Analysis of the Whiplash gradient descent dynamics

Asian Journal of Control, Volume 27, Issue 1, Page 27-40, January 2025.
Abstract In this paper, we propose the Whiplash inertial gradient dynamics, a closed‐loop optimization method that utilizes gradient information. We introduce the symplectic asymptotic convergence analysis for the Whiplash system for convex functions.
Subhransu S. Bhattacharjee, Ian R. Petersen   +1 more
wiley   +1 more source

An Estimation of Different Kinds of Integral Inequalities for a Generalized Class of Godunova–Levin Convex and Preinvex Functions via Pseudo and Standard Order Relations

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
The connection between generalized convexity and analytic operators is deeply rooted in functional analysis and operator theory. To put the ideas of preinvexity and convexity even closer together, we might state that preinvex functions are extensions of convex functions. Integral inequalities are developed using different types of order relations, each
Zareen A. Khan, Waqar Afzal, Nikhil Khanna   +2 more
wiley   +1 more source

Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion (⊆) Relation

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this note, we introduce the concept of ℏ‐Godunova–Levin interval‐valued preinvex functions. As a result of these novel notions, we have developed several variants of Hermite–Hadamard and Fejér‐type inequalities under inclusion order relations. Furthermore, we demonstrate through suitable substitutions that this type of convexity unifies a variety of
Zareen A. Khan, Waqar Afzal, Mujahid Abbas, Kwara Nantomah, Ding-Xuan Zhou   +4 more
wiley   +1 more source

Some Hermite–Hadamard Type Inequality for the Operator p,P‐Preinvex Function

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The goal of the article is to introduce the operator p,P‐preinvex function and present several features of this function. Also, we establish some Hermite–Hadamard type inequalities for this function.
Mahsa Latifi Moghadam, Omid Pourbahri Rahpeyma, Davood Ebrahimi Bagha, Pramita Mishra   +3 more
wiley   +1 more source

Robustness and exploration of variational and machine learning approaches to inverse problems: An overview

GAMM-Mitteilungen, Volume 47, Issue 4, November 2024.
Abstract This paper provides an overview of current approaches for solving inverse problems in imaging using variational methods and machine learning. A special focus lies on point estimators and their robustness against adversarial perturbations. In this context results of numerical experiments for a one‐dimensional toy problem are provided, showing ...
Alexander Auras, Kanchana Vaishnavi Gandikota, Hannah Droege, Michael Moeller   +3 more
wiley   +1 more source

A Class of Semilocal E-Preinvex Functions and Its Applications in Nonlinear Programming

Journal of Applied Mathematics, 2012
A kind of generalized convex set, called as local star-shaped E-invex set with respect to η, is presented, and some of its important characterizations are derived. Based on this concept, a new class of functions, named as semilocal E-preinvex functions,
Hehua Jiao, Sanyang Liu, Xinying Pai
doaj   +1 more source

In Vitro Effect of Anodization of Titanium Abutments on Color Parameters and Color Difference of Lithium Disilicate All‐Ceramic Crowns

Clinical and Experimental Dental Research, Volume 10, Issue 5, October 2024.
ABSTRACT Objective This study assessed the effect of the anodization of titanium abutments on the color parameters and color difference of lithium disilicate (LDS) all‐ceramic crowns. Materials and Methods In this study, 19 straight abutments were divided into two groups: anodized (n = 9) and non‐anodized control (n = 9), with one hybrid zirconia ...
Sotude Khorshidi, Arash Zarbakhsh, Shirin Lawaf, Shaghayegh Golalipour, Maryam Sayyari, Alireza Mahmoudi Nahavandi   +5 more
wiley   +1 more source

New classes of generalized invex monotonicity [PDF]

, 2006
This paper introduces new classes of generalized invex monotone mappings and invex cocoercive mappings. Their differential property and role to analyze and solve variational-like inequality problem are presented.
Zhu DL, Xu B, B. Xu, D. L. Zhu
core   +1 more source

Nonlinear programming problem for strongly

, 2022
The concepts of strongly E-invex sets, strongly E-invex, strongly E-preinvex, and strongly pseudo E-preinvex functions are introduced in this paper. We have included several non-trivial examples to support our definitions.
Akhlad Iqbal, Askar Hussain
core   +1 more source