Results 11 to 20 of about 1,126,227 (356)
Clinical heterogeneity in a family with flail arm syndrome and review of hnRNPA1‐related spectrum
Annals of Clinical and Translational Neurology, Volume 9, Issue 12, Page 1910-1917, December 2022., 2022 Abstract Objective Flail arm syndrome (FAS) is one of the atypical subtypes of amyotrophic lateral sclerosis (ALS). Mutations in hnRNPA1 encoding heterogeneous nuclear ribonucleoprotein (hnRNP) A1 are a rare genetic cause of ALS. Herein, marked clinical heterogeneity of FAS in a pedigree with a known hnRNPA1 variant was described to raise early ...
Xiaochen Han +5 more
wiley +1 more source
On Hadamard inequalities for refined convex functions via strictly monotone functions
AIMS Mathematics, 2022 In this paper, we define refined (α,h−m)-convex function with respect to a strictly monotone function. This function provides refinements of various well-known classes of functions for specific strictly monotone functions.
Moquddsa Zahra +3 more
doaj +1 more source
Injectiveness and Discontinuity of Multiplicative Convex Functions
Mathematics, 2021 In the present work we study the set of multiplicative convex functions. In particular, we focus on the properties of injectiveness and discontinuity. We will show that a non constant multiplicative convex function is at most 2-injective, and construct ...
Pablo Jiménez-Rodríguez +3 more
doaj +1 more source
Examining the behavior of parametric convex operators on a certain set of analytical functions [PDF]
MethodsXMathematical operators that maintain convex functional combinations involving at least one parameter are called parametric convex operators (PCOs) on analytic function spaces.
Ibtisam Aldawish
doaj +2 more sources
Smooth convex extensions of convex functions [PDF]
Calculus of Variations and Partial Differential Equations, 2019 Final ...
Azagra, Daniel, Mudarra, Carlos
openaire +4 more sources
An extension of the proximal point algorithm beyond convexity [PDF]
Journal of Global Optimization, 2021, 2021 We introduce and investigate a new generalized convexity notion for functions called prox-convexity. The proximity operator of such a function is single-valued and firmly nonexpansive. We provide examples of (strongly) quasiconvex, weakly convex, and DC (difference of convex) functions that are prox-convex, however none of these classes fully contains ...
arxiv +1 more source
A New Advanced Class of Convex Functions with Related Results
Axioms, 2023 It is the purpose of this paper to propose a novel class of convex functions associated with strong η-convexity. A relationship between the newly defined function and an earlier generalized class of convex functions is hereby established.
Muhammad Adil Khan +3 more
doaj +1 more source
Schur-Convexity of Averages of Convex Functions [PDF]
Journal of Inequalities and Applications, 2011 The object is to give an overview of the study of Schur-convexity of various means and functions and to contribute to the subject with some new results. First, Schur-convexity of the generalized integral and weighted integral quasi-arithmetic mean is studied.
Roqia Ghulam +3 more
openaire +4 more sources
An application of the generalized Bessel function [PDF]
Mathematica Bohemica, 2017 We introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.
Hanan Darwish +2 more
doaj +1 more source
On the singularities of convex functions [PDF]
Manuscripta Mathematica, 1992 Given a semi-convex functionu: ω⊂R n→R and an integerk≡[0,1,n], we show that the set ∑k defined by $$\Sigma ^k = \left\{ {x \in \Omega :dim\left( {\partial u\left( x \right)} \right) \geqslant k} \right\}$$ is countably ℋn-k i.e., it is ...
Alberti G, AMBROSIO, Luigi, Cannarsa P.
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