ON REAL-VALUED HOMOGENEOUS POLYNOMIALS WITH MANY VARIABLES

被引：0

作者：

Raposo, Anselmo ^{[1
]}

Teixeira, Katiuscia B. ^{[2
]}

机构：

[1] Univ Fed Maranhao, Dept Matemat, BR-65085580 Sao Luis, Brazil

[2] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 08期

关键词：

Homogeneous polynomials; real scalars;

D O I：

10.1090/proc/16406

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the optimal constants in the classical Bohnenblust- Hille inequality for real-valued m-homogeneous polynomials, Cm, satisfy limm ->infinity C1/m m = 2, independently of dimension.

引用

页码：3529 / 3533

页数：5

共 50 条

[1] ANALYTICALLY IRREDUCIBLE POLYNOMIALS WITH COEFFICIENTS IN A REAL-VALUED FIELD
Granja, A.
Martinez, M. C.
Rodriguez, C.
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (10) : 3449 - 3454
[2] An extension of chaotic probability models to real-valued variables
Fierens, P. I.
[J]. ISIPTA 07-PROCEEDINGS OF THE FIFTH INTERNATIONAL SYMPOSIUM ON IMPRECISE PROBABILITY:THEORIES AND APPLICATIONS, 2007, : 193 - 202
[3] Probability on Finite Set and Real-Valued Random Variables
Okazaki, Hiroyuki
Shidama, Yasunari
[J]. FORMALIZED MATHEMATICS, 2009, 17 (02): : 129 - 136
[4] Ergodic theorems for extended real-valued random variables
Hess, Christian
Seri, Raffaello
Choirat, Christine
[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2010, 120 (10) : 1908 - 1919
[5] An extension of chaotic probability models to real-valued variables
Fierens, P. I.
[J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2009, 50 (04) : 627 - 641
[6] On the tail integral formulae for real-valued random variables
Nadarajah, Saralees
Okorie, Idika E.
[J]. MATHEMATICAL GAZETTE, 2022, 106 (567): : 487 - 493
[7] Equivalence of methods for uncertainty propagation of real-valued random variables
Regan, HM
Ferson, S
Berleant, D
[J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2004, 36 (01) : 1 - 30
[8] Probability generating functions for discrete real-valued random variables
Esquivel, M. L.
[J]. THEORY OF PROBABILITY AND ITS APPLICATIONS, 2008, 52 (01) : 40 - 57
[9] On computational algorithms for real-valued continuous functions of several variables
Sprecher, David
[J]. NEURAL NETWORKS, 2014, 59 : 16 - 22
[10] A REAL-VALUED GENETIC ALGORITHM FOR OPTIMIZATION PROBLEM WITH CONTINUOUS VARIABLES
严卫
朱兆达
[J]. Transactions of Nanjing University of Aeronautics and Astronautics, 1997, (01) : 4 - 8

← 1 2 3 4 5 →