activity
20122017
most citedEstimates on the norm of polynomials and applications

4 citations · 13 across the 5 of their papers we have counts for

collaborators

5 papers

math.FA2017★ 1 cited

On inequalities for convex functions

Luis Bernal-González, Pablo Jiménez-Rodríguez, Gustavo Adolfo Muñoz-Fernández +1

We study some properties convex functions fulfill. Among the conclusions we obtain from such result, we are able to prove some nontrivial inequalities among real numbers, and we gi…

math.FA2015★ 4 cited

Estimates on the norm of polynomials and applications

Gustavo Araújo, Pablo Jiménez-Rodríguez, Gustavo A. Muñoz-Fernández +1

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 -homo…

math.FA2015★ 2 cited

Polynomial inequalities on the -circle sector

G. Araújo, P. Jiménez-Rodríguez, G. A. Muñoz-Fernández +1

A number of sharp inequalities are proved for the space of 2-homogeneous polynomials on endowed with the suprem…

math.FA2015★ 2 cited

Sharp values for the constants in the polynomial Bohnenblust-Hille inequality

P. Jiménez-Rodríguez, G. A. Muñoz-Fernández, M. Murillo-Arcila +1

In this paper we prove that the complex polynomial Bohnenblust-Hille constant for -homogeneous polynomials in is exactly . We also give th…

math.FA2012★ 4 cited

On the real polynomial Bohnenblust-Hille inequality

J. R. Campos, P. Jiménez-Rodríguez, G. A. Muñoz-Fernández +2

It was recently proved by Bayart et al. that the complex polynomial Bohnenblust--Hille inequality is subexponential. We show that, for real scalars, this does no longer hold. Moreo…