Gustavo Araújo

ORCID: 0000-0002-8026-9039
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About
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Research Areas
  • Advanced Banach Space Theory
  • Holomorphic and Operator Theory
  • Advanced Harmonic Analysis Research
  • Approximation Theory and Sequence Spaces
  • Mathematics and Applications
  • Mathematical Inequalities and Applications
  • Advanced Operator Algebra Research
  • Mathematical Analysis and Transform Methods
  • Linguistics and Language Studies
  • Functional Equations Stability Results
  • Mathematics Education and Teaching Techniques
  • Child Nutrition and Water Access
  • Advanced Topology and Set Theory
  • History and Theory of Mathematics
  • Iterative Methods for Nonlinear Equations
  • Fixed Point Theorems Analysis
  • Advanced Optimization Algorithms Research
  • Optimization and Variational Analysis
  • Child Nutrition and Feeding Issues
  • Education and Digital Technologies
  • Breastfeeding Practices and Influences
  • Graph theory and applications
  • Limits and Structures in Graph Theory
  • Academic Research in Diverse Fields
  • Advanced Topics in Algebra

Universidade Estadual da Paraíba
2015-2024

Fundação de Apoio à Pesquisa do Estado da Paraíba
2023

Universidade Federal de Campina Grande
2014-2016

Universidade Federal da Paraíba
2014-2015

Ministry of Education
2015

Este estudo investigou os principais desafios, avanços e aplicações da computação quântica, focando no impacto em áreas como segurança digital, inteligência artificial simulação de materiais. O objetivo geral foi analisar a quântica pode transformar essas quais obstáculos técnicos teóricos precisam ser superados para implementação larga escala. A pesquisa adotou uma abordagem qualitativa, sendo caráter bibliográfico, com análise artigos, livros dissertações recentes que abordam suas...

10.56238/arev7n2-202 article PT Aracê. 2025-02-18

10.1016/j.laa.2014.08.028 article EN publisher-specific-oa Linear Algebra and its Applications 2014-09-16

We prove the existence of large algebraic structures—including vector subspaces or infinitely generated free algebras—inside, among others, family Lebesgue measurable functions that are surjective in a strong sense, nonconstant

10.4064/sm8358-10-2016 article EN Studia Mathematica 2017-01-01

10.1007/s00574-016-0016-6 article EN Bulletin of the Brazilian Mathematical Society New Series 2016-10-25

We show that given a positive integer m, real number and the set of non-multiple -summing m-linear forms on contains, except for null vector, closed subspace maximal dimension whenever . This result is optimal since all are multiple -summing. In particular, among other results, we generalize related to cotype (from 2010) due Botelho, Michels second named author.

10.1080/03081087.2016.1216517 article EN Linear and Multilinear Algebra 2016-08-05

Abstract Important probabilistic problems require to find the limit of a sequence random variables. However, this can be understood in different ways and various kinds convergence defined. Among many types sequences variables, we highlight, for example, that $$L^p$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msup> </mml:math> -sense implies probability, which, turn, distribution, besides all these implications are strict....

10.1007/s13398-024-01561-8 article EN cc-by Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas 2024-02-24

10.1016/j.ejc.2018.10.007 article EN publisher-specific-oa European Journal of Combinatorics 2018-11-05

10.1007/s13398-023-01505-8 article EN Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas 2023-09-21

Hölder's inequality, since its appearance in 1888, has played a fundamental role Mathematical Analysis and may be considered milestone Mathematics. It seem strange that, nowadays, it keeps resurfacing bringing new insights to the mathematical community. In this survey we show how variant of inequality (although well-known PDEs) was essentially overlooked Functional/Complex had crucial (and some sense unexpected) influence very recent advances different fields Some these have been appearing...

10.36045/bbms/1503453706 article EN Bulletin of the Belgian Mathematical Society - Simon Stevin 2017-04-01

10.1016/j.laa.2015.02.011 article EN publisher-specific-oa Linear Algebra and its Applications 2015-03-04

10.1016/j.jmaa.2016.03.039 article EN publisher-specific-oa Journal of Mathematical Analysis and Applications 2016-03-17

In this paper we consider the space of polynomials degree at most three in real line endowed with sup norm over unit interval.We provide, explicitly, all extreme points ball space.Using previous geometrical description, obtain Bernstein function for first and second derivative 3.

10.7153/mia-2020-23-61 article EN Mathematical Inequalities & Applications 2020-01-01

H\"{o}lder's inequality, since its appearance in 1888, has played a fundamental role Mathematical Analysis and it is, without any doubt, one of the milestones Mathematics. It may seem strange that, nowadays, keeps resurfacing bringing new insights to mathematical community. In this expository article we show how variant inequality (although well-known PDEs) was essentially overlooked Functional had crucial (and some sense unexpected) influence very recent major breakthroughs Some these...

10.48550/arxiv.1412.2017 preprint EN other-oa arXiv (Cornell University) 2014-01-01

The Hardy--Littlewood inequality for $m$-linear forms on $\ell _{p}$ spaces and $m<p\leq 2m$ asserts that \begin{equation*} \left( \sum_{j_{1},...,j_{m}=1}^{\infty }\left\vert T\left( e_{j_{1}},\ldots ,e_{j_{m}}\right) \right\vert ^{\frac{p}{p-m}}\right) ^{\frac{p-m}{p}}\leq 2^{\frac{m-1}{2}}\left\Vert T\right\Vert \end{equation*} all continuous $T:\ell _{p}\times \cdots \times \ell _{p}\rightarrow \mathbb{R}$ or $\mathbb{C}.$ case $m=2$ recovers a classical proved by Hardy Littlewood in...

10.48550/arxiv.1609.03081 preprint EN other-oa arXiv (Cornell University) 2016-01-01

10.1007/s00574-019-00140-5 article EN Bulletin of the Brazilian Mathematical Society New Series 2019-04-05

The m-linear version of the Hardy–Littlewood inequality for forms on ℓ p spaces and m<p<2m, recently proved by Dimant Sevilla-Peris, asserts that

10.5802/ambp.371 article EN cc-by Annales mathématiques Blaise Pascal 2018-07-01

In this paper, equivalence constants between various polynomial norms are calculated. As an application, we also obtain sharp values of the Hardy--Littlewood for $2$-homogeneous polynomials on $\ell_p^2$ spaces, $2

10.48550/arxiv.1507.01431 preprint EN other-oa arXiv (Cornell University) 2015-01-01
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