Results 41 to 50 of about 24,937 (297)

Strongly hyperbolically convex functions

Journal of Mathematical Analysis and Applications, 2007
Let \(C(w_1,w_2,w_3)\) denote the circle in \(\widehat{\mathbb C}\) through \(w_1,w_2,w_3\), and let \(\widehat{w_1w_2}\) denote one of the two arcs between \(w_1,w_2\) belonging to \(C(w_1,w_2,w_3)\). The authors prove that a domain \(\Omega\) in the Riemann sphere with no antipodal points is spherically convex if and only if for any \(w_1,w_2,w_3\in \
Cruz, Lorena, Mejía, Diego
openaire   +2 more sources

Strongly Convex Functions, Moreau Envelopes, and the Generic Nature of Convex Functions with Strong Minimizers [PDF]

SIAM Journal on Optimization, 2016
In this work, using Moreau envelopes, we define a complete metric for the set of proper lower semicontinuous convex functions. Under this metric, the convergence of each sequence of convex functions is epi-convergence. We show that the set of strongly convex functions is dense but it is only of the first category.
Planiden, Chayne, Wang, Xianfu
openaire   +3 more sources

Distributed Asymptotic Minimization of Sequences of Convex Functions by a Broadcast Adaptive Subgradient Method [PDF]

, 2011
We propose a non-hierarchical decentralized algorithm for the asymptotic minimization of possibly time-varying convex functions. In our method, each agent in a network has a private, local (possibly time-varying) cost function, and the objective is to ...
Renato L. G. Cavalcante, Jennings, Nick, Isao Yamada, Cavalcante, Renato L. G., Rogers, A, Alex Rogers, Nicholas R. Jennings, Rogers, Alex, Yamada, I, Jennings, N, Yamada, Isao, Cavalcante, RLG   +11 more
core   +1 more source

Explicit Stabilised Gradient Descent for Faster Strongly Convex Optimisation [PDF]

, 2021
This paper introduces the Runge-Kutta Chebyshev descent method (RKCD) for strongly convex optimisation problems. This new algorithm is based on explicit stabilised integrators for stiff differential equations, a powerful class of numerical schemes that ...
Vilmart, Gilles, Eftekhari, Armin, Zygalakis, Konstantinos C., Zygalakis, Konstantinos C, Eftekhari, Armin,, Vandereycken, Bart   +5 more
core   +1 more source

Weber’s problem on the Riemannian Manifolds: Some upper bounds for the minimun Weber’s function

Selecciones Matemáticas, 2019
In this paper we obtain some upper bounds for the minimum of the Weber function on a strongly convex ball in a Riemannian manifold with positive sectional curvature; where the minimum is reached on the weighted geometric median of “m” given points in the
Franco Rubio López, Patricia Edith Alvarez Rodriguez, Heyssen Dueñes Chávez   +2 more
doaj   +1 more source

The Fifth Coefficient Approximation of The Inverse Strongly Convex Function

, 2023
This paper discusses the fifth coefficient approximation of the inverse strongly convex function. Strongly convex function is a subclass of convex function. Those functions are included as univalent functions.
Daniswara, Krisna Adilia, Umam, Ahmad Khairul, Alfan, Aris   +2 more
core  

The Fekete-Szego Problem for Strongly Close-to-Convex Functions [PDF]

Proceedings of the American Mathematical Society, 1992
Let K ( β )
Abdel-Gawad, H. R., Thomas, D. K.
openaire   +2 more sources

Strongly (g,h;α − m)-convex functions and the consequent Hermite–Hadamard-type inequalities

Applied Mathematics in Science and Engineering
In this paper, we define a new class of strongly [Formula: see text]-convex functions. Some important implications are listed and related with already known classes.
Yonghong Liu, Ghulam Farid, Josip Pečarić, Jongsuk Ro, Mawahib Elamin, Sayed Abdel-Khalek   +5 more
doaj   +1 more source

A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators

Axioms, 2023
A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq, Sotiris K. Ntouyas, Asif Ali Shaikh   +2 more
doaj   +1 more source

Clinical Validation of Plasma p‐217tau in Neurological Diseases

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Plasma p‐217tau is a minimally invasive but specific biomarker for diagnosing Alzheimer's disease (AD). However, its disease specificity remains to be clinically evaluated. We validated the reliability of the p‐217tau biomarker in 12 other neurological diseases.
Takeshi Kawarabayashi, Takumi Nakamura, Ryoma Takahashi, Tetsuya Ueda, Seiji Kinoshita, Chikage Uchida, Takashi Sugawara, Kentaro Hashimoto, Kunihiko Ishizawa, Masakuni Amari, Hiroo Kasahara, Yoshio Ikeda, Masamitsu Takatama, Mikio Shoji   +13 more
wiley   +1 more source