Results 31 to 40 of about 428,488 (166)

Smooth 2-homogeneous polynomials on the plane with a hexagonal norm

Extracta Mathematicae, 2022
Motivated by the classifications of extreme and exposed 2-homogeneous polynomials on the plane with the hexagonal norm ||(x, y)|| = max{|y|, |x| + |y|/2} (see [15, 16]), we classify all smooth 2-homogeneous polynomials on R2 with the hexagonal norm.
Sung Guen Kim
doaj  

Double-null Operators and the Investigation of Birkhoff\'s Theorem on Discrete lp Spaces

پژوهش‌های ریاضی, 2020
Doubly stochastic matrices play a fundamental role in the theory of majorization. Birkhoff's theorem explains the relation between $ntimes n$ doubly stochastic matrices and permutations.
Ali Bayati Eshkaftaki
doaj  

A CLASS OF HARMONIC p𝑝, 𝑞q-STARLIKE FUNCTIONS INVOLVING A GENERALIZED p𝑝, 𝑞q-BERNARDI INTEGRAL OPERATOR

Проблемы анализа, 2023
With the aid of 𝑞-calculus, this paper introduces a new generalized p𝑝, 𝑞q-Bernardi integral operator ℬ^𝑝 𝑛,𝑞𝑓p𝑧q. Then, we define a new subclass of harmonic p𝑝, 𝑞q-starlike functions of complex order associated with the operator ℬ^𝑝 𝑛,𝑞𝑓p𝑧q.
S. H. Hadi, M. Darus
doaj  

Mathematical Analysis and Computational Approximation of Extremal Points of the Subset of Copulas

Stats
Copulas, as a new tool for statistical analysis, are studied in depth. One of the most notable aspects of this study is the geometric perspective, particularly the concept of regeneration via extreme points and the well-known result in functional ...
Rachid Jaafar, Ahmed Hfa, Ahmed Sani
doaj   +1 more source

Completely positive linear operators for Banach spaces

International Journal of Mathematics and Mathematical Sciences, 1994
Using ideas of Pisier, the concept of complete positivity is generalized in a different direction in this paper, where the Hilbert space ℋ is replaced with a Banach space and its conjugate linear dual.
Mingze Yang
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A Novel Neural Network with the Ability to Express the Extreme Points Distribution Features of Higher Derivatives of Physical Processes

Applied Sciences, 2023
Higher derivatives are important to interpret the physical process. However, higher derivatives calculated from measured data often deviate from the real ones because of measurement errors.
Xibo Wang, Feiyan Ma, Yanfei Gao, Jinfeng Liang, Changfeng Zhou   +4 more
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The norming set of a bilinear form on a certain normed space $\mathbb{R}^2$

Researches in Mathematics
In this paper we classify the norming set of a bilinear form on the plane with a certain norm whose unit ball has only four extreme points. We obtain the results of [6, 8] as corollary.
S.G. Kim
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On Extreme Points of Subordination Families [PDF]

Proceedings of the American Mathematical Society, 1983
Let F F be the set of analytic functions in
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Metric Spaces of Extreme Points

Theory and Applications of Categories, 2020
The well-known Arens-Eells embedding theorem asserts that a metric space can be isometrically embedded as a set of linearly independent vectors in a Banach space. This paper provides an improvement for compact metric spaces by showing the following result: Given a compact metric space \((X,d)\) of diameter at most \(2\), there exists a separable real ...
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Extreme Points and Support Points of Subordination Families

Journal of Mathematical Analysis and Applications, 2000
The family \(A\) of analytic functions \(f\) of the unit disk \(\Delta\), equipped with the topology of uniform convergence in compact subsets forms a locally convex linear space. Let \(B_0:=\{\omega\in A |\omega(0)=0, |\omega|0\}=\{p\in A |p\prec {1+z \over 1-z}\} =s({1+z \over 1-z}) . \] The Krein-Milman theorem guarantees that a subordination family
Hallenbeck, David J, Hallenbeck, K.T
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