P. Pasteczka

activity

20112026

most citedOn the best Hardy constant for quasi-arithmetic means and homogeneous deviation means

15 citations · 135 across the 49 of their papers we have counts for

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Showing 2023Show all

4 papers · 1 filter

math.CA2023

Extension theorem for simultaneous q-difference equations and some its consequences

Witold Jarczyk, Paweł Pasteczka

Given a set $T \subset (0, + \infty)$ , intervals $I \subset (0, + \infty)$ and $J \subset R$ , as well as functions $g_{t} : I \times J \to J$ with $t$ 's running through the…

math.CA2023

On the invariance equation for means of generalized power growth

Paweł Pasteczka

We generalize the result of (Witkowski, 2014) which binds orders of homogeneous, symmetric means $M, N, K : R_{+}^{2} \to R_{+}$ of power growth that satisfy the inva…

math.CA2023

Estimating the Hardy constant of nonconcave homogenus quasideviation means

Zsolt Páles, Paweł Pasteczka

In this paper, we consider homogeneous quasideviation means generated by real functions (defined on $(0, \infty)$ ) which are concave around the point $1$ and possess certain upper e…

math.CA2023

On the Jensen convexity of quasideviation and Bajraktarević means

Zsolt Páles, Paweł Pasteczka

Motivated by the characterization theorem about the Jensen convexity of quasiarithmetic means obtained by the authors in 2021, our main goal is to establish a characterization of t…