A. Peña

activity

19922018

most citedOrthogonal polynomials generated by a linear structure relation: Inverse problem

13 citations · 38 across the 13 of their papers we have counts for

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3 papers · 1 filter

math.FA2000

Inequalities for the Gamma Function and estimates for the volume of sections of $B_{p}^{n}$

Jesus Bastero, Fernando Galve, Ana Pena +1

We consider $k$ -dimensional central sections of the unit ball of $ℓ_{p}^{n}$ (denoted $B_{p}^{n}$ ) and we prove that their volume are bounded by the volume of $B_{p}^{n}$ whenever $1 < p < 2$ a…

math.FA1995

An extension of Milman's reverse Brunn-Minkowski inequality

Jesus Bastero, J. Bernues, A. Pena

The classical Brunn-Minkowski inequality states that for $A_{1}, A_{2} \subset R^{n}$ compact, $$ |A_1+A_2|^{1/n}\ge |A_1|^{1/n}+|A_2|^{1/n}\eqno(1) $$ where $∣ \cdot ∣$ denotes the Lebesgue…

math.FA1992

The theorems of Caratheodory and Gluskin for $0 < p < 1$

Jesus Bastero, J. Buernes, A. Pena

In this note we investigate some aspects of the local structure of finite dimensional $p$ -Banach spaces. The well known theorem of Gluskin gives a sharp lower bound of the diameter…

Inequalities for the Gamma Function and estimates for the volume of sections of Bpn​

An extension of Milman's reverse Brunn-Minkowski inequality

The theorems of Caratheodory and Gluskin for 0<p<1

Inequalities for the Gamma Function and estimates for the volume of sections of $B_{p}^{n}$

The theorems of Caratheodory and Gluskin for $0 < p < 1$