On an elementary inclusion problem and generalized weighted quasi-arithmetic means

• Autorzy: Zoltán Daróczy , Zsolt Páles
• Języki publikacji: EN

Abstrakty

EN

The aim of this note is to characterize the real coefficients p₁,...,pₙ and q₁,...,qₖ so that
$∑_{i=1}^{n} p_ix_i + ∑_{j=1}^{k} q_jy_j ∈ conv{x₁,...,xₙ}$
be valid whenever the vectors x₁,...,xₙ, y₁,...,yₖ satisfy
{y₁,...,yₖ} ⊆ conv{x₁,...,xₙ}.
Using this characterization, a class of generalized weighted quasi-arithmetic means is introduced and several open problems are formulated.

Kategorie tematyczne

• 39B22: Equations for real functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2013
• Tom: 99
• Numer: 1
• Strony: 45-54

Daty

wydano

2013

Twórcy

autor

Zoltán Daróczy

• Institute of Mathematics, University of Debrecen, H-4010 Debrecen, Pf. 12, Hungary

autor

Zsolt Páles

• Institute of Mathematics, University of Debrecen, H-4010 Debrecen, Pf. 12, Hungary

Identyfikatory

DOI

10.4064/bc99-0-4