Results 51 to 60 of about 278 (165)

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

Generalized Geodesic Convexity on Riemannian Manifolds

Mathematics, 2019
We introduce log-preinvex and log-invex functions on a Riemannian manifold. Some properties and relationships of these functions are discussed. A characterization for the existence of a global minimum point of a mathematical programming problem is ...
Izhar Ahmad, Meraj Ali Khan, Amira A. Ishan   +2 more
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

Generalized Differentiable -Invex Functions and Their Applications in Optimization [PDF]

Advances in Operations Research, 2012
The concept of -convex function and its generalizations is studied with differentiability assumption. Generalized differentiable -convexity and generalized differentiable -invexity are used to derive the existence of optimal solution of a general optimization problem.
Sangeeta Jaiswal, Geetanjali Panda
openaire   +1 more source

Sumatriptan‐naproxen sodium in migraine: A review

European Journal of Neurology, Volume 31, Issue S2, September 2024.
Abstract Background Varied responses to acute migraine medications have been observed, with over one‐third (34.5%) of patients reporting insufficient headache relief. Sumatriptan‐naproxen sodium, a single, fixed‐dose combination tablet comprising sumatriptan 85 mg and naproxen sodium 500 mg, was developed with the rationale of targeting multiple ...
Robyn‐Jenia Wilcha, Shazia K. Afridi, Piero Barbanti, Hans Christoph Diener, Tim Patrick Jürgens, Michel Lanteri‐Minet, Christian Lucas, Jerôme Mawet, Xavier Moisset, Antonio Russo, Simona Sacco, Alexandra J. Sinclair, Marja‐Liisa Sumelahti, Cristina Tassorelli, Peter J. Goadsby   +14 more
wiley   +1 more source

PROPER AND ISOLATED EFFICIENCIES IN MULTIOBJECTIVE OPTIMIZATION PROBLEMS

Tạp chí Khoa học Đại học Đà Lạt, 2012
We employ some advanced tools of variational analysis and generalised differentiation such as the nonsmooth version of Fermat's rule, the limiting sub-differential of maximum functions, and the sum rules for the Frechet and Mordukhovich sub-differentials
Thái Doãn Chương
doaj   +1 more source

HIV self‐testing in India: implementation and qualitative evaluation of a web‐based programme with virtual counsellor support

Journal of the International AIDS Society, Volume 27, Issue 6, June 2024.
Abstract Introduction To achieve epidemic control of infectious diseases, engaging higher‐burden populations with accessible diagnostic services is critical. HIV self‐testing (HIVST) is a promising option. Methods We implemented an online HIVST programme for key populations across India. Eligible clients were 18 years or older, self‐reported a negative
Rose Pollard Kaptchuk, Jalpa Thakker, Jade Bell, Saya Okram, Usha Gopinath, Shruti H. Mehta, Ajay Kumar Reddy, Talia A. Loeb, Visvanathan Arumugam, Samit Tandon, Mugundu Ramien Parthasarathy, Subash Chandra Ghosh, Aditya Singh, Deepika Srivastava Joshi, Sukhvinder Kaur, Sunil Suhas Solomon, Allison M. McFall   +16 more
wiley   +1 more source

Nonsmooth Invex Functions and Sufficient Optimality Conditions

Journal of Mathematical Analysis and Applications, 2001
The author unifies various definitions of non-smooth invex functions by introducing the \(K\)-directional derivative of a function in the following way. Let \(X\subset\mathbb{R}^n\) be an open set, \(f:X\to\mathbb{R}\), \(x\in X\) and \(K\) be a local cone approximation; the positive homogeneous function \(f^K(x,.): \mathbb{R}^n\to [-\infty,\infty ...
openaire   +3 more sources