15 citations · 135 across the 49 of their papers we have counts for
5 papers · 1 filter
On Hardy type inequalities for weighted means
Zsolt Páles, Paweł Pasteczka
The aim of this paper is to establish weighted Hardy type inequality in a broad family of means. In other words, for a fixed vector of weights and a weighted m…
On Kedlaya type inequalities for weighted means
Zsolt Páles, Paweł Pasteczka
In 2016 we proved that for every symmetric, repetition invariant and Jensen concave mean the Kedlaya-type inequality $$ \mathscr{A}\big(x_1,\mathscr{M}(x_1,x_2),\ldot…
Interval-type theorems concerning quasi-arithmetic means
Paweł Pasteczka
Family of quasi-arithmetic means has a natural, partial order (point-wise order) if and only if for all admissible vectors ($f,\…
On the best Hardy constant for quasi-arithmetic means and homogeneous deviation means
Zsolt Páles, Paweł Pasteczka
The aim of this paper is to characterize the so-called Hardy means, i.e., those means that satisfy the inequality $$ \su…
Interval-type theorems concerning means
Paweł Pasteczka
Each family of means has a natural, partial order (point-wise order), that is iff for all admissible . In this setting we can introduce t…