Gustavo Araújo
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View article: CURRÍCULO COM ALMA: INTEGRANDO SABERES E FAZERES
CURRÍCULO COM ALMA: INTEGRANDO SABERES E FAZERES Open
Este artigo objetivou refletir sobre os caminhos para a construção de um currículo com alma, capaz de integrar os saberes escolares às experiências de vida, promovendo conexões humanas e práticas pedagógicas sensíveis à subjetividade dos a…
View article: Marginal subsemigroups and commutators in inverse semigroups
Marginal subsemigroups and commutators in inverse semigroups Open
Marginal subgroups, introduced by P. Hall, are characteristic subgroups induced by group words. The goal of this paper is to extend the notion to inverse semigroups. Our first main result establishes that these marginal subsemigroups are f…
View article: Modes of convergence of random variables and algebraic genericity
Modes of convergence of random variables and algebraic genericity Open
Important probabilistic problems require to find the limit of a sequence of random variables. However, this limit can be understood in different ways and various kinds of convergence can be defined. Among the many types of convergence of s…
View article: Dualidade: construção do tetraedro triakis a partir do tetraedro truncado via mediatrizes
Dualidade: construção do tetraedro triakis a partir do tetraedro truncado via mediatrizes Open
Este estudo tem como propósito realizar uma análise geométrica e analítica do fenômeno da dualidade relacionado aos poliedros de Arquimedes e aos poliedros de Catalan, mais especificamente, o tetraedro truncado (um poliedro arquimediano) e…
View article: Dualidade: construção do tetraedro triakis a partir do tetraedro truncado via mediatrizes
Dualidade: construção do tetraedro triakis a partir do tetraedro truncado via mediatrizes Open
Este estudo tem como propósito realizar uma análise geométrica e analítica do fenômeno da dualidade relacionado aos poliedros de Arquimedes e aos poliedros de Catalan, mais especificamente, o tetraedro truncado (um poliedro arquimediano) e…
View article: A Intuição Matemática e o estudo da Lineabilidade
A Intuição Matemática e o estudo da Lineabilidade Open
Mathematical Intuition is one of the main resources in research, as it serves as a guide for human reason.However, Mathematical Intuition alone is not enough and must be seen as a complement or counterweight to Logic.In fact, both logic an…
View article: Sharp Bernstein inequalities using convex analysis techniques
Sharp Bernstein inequalities using convex analysis techniques Open
In this paper we consider the space of polynomials of degree at most three in the real line endowed with the sup norm over the unit interval.We provide, explicitly, all the extreme points of the unit ball of this space.Using the previous g…
View article: A summability principle and applications
A summability principle and applications Open
This paper investigates summability principles for multilinear summing operators. The main result presents a novel inclusion theorem for a class of summing operators, which generalizes several classical results. As applications, we derive …
View article: On the Maurey--Pisier and Dvoretzky--Rogers theorems
On the Maurey--Pisier and Dvoretzky--Rogers theorems Open
A famous theorem due to Maurey and Pisier asserts that for an infinite dimensional Banach space $E$, the infumum of the $q$ such that the identity map $id_{E}$ is absolutely $\left( q,1\right) $-summing is precisely $\cot E$. In the same d…
View article: A Gale–Berlekamp permutation-switching problem in higher dimensions
A Gale–Berlekamp permutation-switching problem in higher dimensions Open
View article: Universal Bounds for the Hardy–Littlewood Inequalities on Multilinear Forms
Universal Bounds for the Hardy–Littlewood Inequalities on Multilinear Forms Open
View article: Optimal Hardy–Littlewood inequalities uniformly bounded by a universal constant
Optimal Hardy–Littlewood inequalities uniformly bounded by a universal constant Open
The m-linear version of the Hardy–Littlewood inequality for m-linear forms on ℓ p spaces and m
View article: A note on multiple summing operators and applications
A note on multiple summing operators and applications Open
We prove a new result on multiple summing operators and, among other results and applications, we provide a new extension of Littlewood's 4=3 inequality to m-linear forms.
View article: Lineability in sequence and function spaces
Lineability in sequence and function spaces Open
It is proved the existence of large algebraic structures –including large vector subspaces or infinitely generated free algebras– inside, among others, the family of Lebesgue measurable functions that are surjective in a strong sense, the …
View article: Optimal Hardy--Littlewood inequalities uniformly bounded by a universal constant
Optimal Hardy--Littlewood inequalities uniformly bounded by a universal constant Open
The Hardy--Littlewood inequality for $m$-linear forms on $\ell _{p}$ spaces and $m
View article: Estimates on the norm of polynomials and applications
Estimates on the norm of polynomials and applications Open
In this paper, equivalence constants between various polynomial norms are calculated. As an application, we also obtain sharp values of the Hardy--Littlewood constants for $2$-homogeneous polynomials on $\ell_p^2$ spaces, $2
View article: A note on multiple summing operators and applications
A note on multiple summing operators and applications Open
We prove a new result on multiple summing operators and among other applications, we provide a new extension of Littlewood's $4/3$ inequality to $m$-linear forms.
View article: Polynomial inequalities on the $π/4$-circle sector
Polynomial inequalities on the $π/4$-circle sector Open
A number of sharp inequalities are proved for the space ${\mathcal P}\left(^2D\left(\fracπ{4}\right)\right)$ of 2-homogeneous polynomials on ${\mathbb R}^2$ endowed with the supremum norm on the sector $D\left(\fracπ{4}\right):=\left\{e^{i…
View article: Lower bounds for the complex polynomial Hardy–Littlewood inequality
Lower bounds for the complex polynomial Hardy–Littlewood inequality Open
View article: Optimal Hardy-Littlewood type inequalities for $m$-linear forms on $\ell_{p}$ spaces with $1\leq p\leq m$
Optimal Hardy-Littlewood type inequalities for $m$-linear forms on $\ell_{p}$ spaces with $1\leq p\leq m$ Open
The Hardy-Littlewood inequalities for $m$-linear forms on $\ell_{p}$ spaces are stated for $p>m$. In this paper, among other results, we investigate similar results for $1\leq p\leq m.$ Let $\mathbb{K}$ be $% \mathbb{R}$ or $\mathbb{C}$ an…