I. Klemeš

activity

20082013

most citedSymmetric polynomials, p-norm inequalities, and certain functionals related to majorization

2 citations · 2 across the 3 of their papers we have counts for

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math.CA2013

More symmetric polynomials related to p-norms

Ivo Klemes

It is known that the elementary symmetric polynomials $e_{k} (x)$ have the property that if $x, y \in [0, \infty)^{n}$ and $e_{k} (x) \leq e_{k} (y)$ for all $k$ , then $∣∣ x ∣ ∣_{p} \leq ∣∣ y ∣ ∣_{p}$ …

math.CA2010

Symmetric polynomials and $l^{p}$ inequalities for certain intervals of $p$

Ivo Klemes

We prove some sufficient conditions implying $l^{p}$ inequalities of the form $∣∣ x ∣ ∣_{p} \leq ∣∣ y ∣ ∣_{p}$ for vectors $x, y \in [0, \infty)^{n}$ and for $p$ in certain positive real interva…

math.CA2009

Polarization of an inequality

Ivo Klemes

We generalize a previous inequality related to a sharp version of the Littlewood conjecture on the minimal $L_{1}$ -norm of $N$ -term exponential sums $f$ on the unit circle. The new r…

math.CA2008★ 2 cited

Symmetric polynomials, p-norm inequalities, and certain functionals related to majorization

Ivo Klemes

We study a variant of the majorization relation. In particular we consider inequalities involving some Schur-concave symmetric polynomials related to the multinomial expansion. We…

More symmetric polynomials related to p-norms

Symmetric polynomials and lp inequalities for certain intervals of p

Polarization of an inequality

Symmetric polynomials, p-norm inequalities, and certain functionals related to majorization

Symmetric polynomials and $l^{p}$ inequalities for certain intervals of $p$