P. Pasteczka

activity

20242026

collaborators

6 papers

math.CA2026

Equality problem for generalized quasiarithmetic means generated by discontinuous strictly monotonic functions

Tibor Kiss, PaweÅ Pasteczka

We study the equality problem of generalized quasiarithmetic means for a strictly monotonic generator $f$ that is not necessarily continuous. We provide two sufficient conditions t…

math.GM2026

Lattice-like property of quasi-arithmetic means: revisited

Tibor Kiss, PaweÅ Pasteczka

We show that every family of quasi-arithmetic means generated by (a subset of) $C^{1}$ functions with nonvanishing derivative which is bounded (from below or from above) by…

math.CA2026

On subadditive quasi-arithmetic means

Zsolt PÃ¡les, PaweÅ Pasteczka

Let $f : R_{+} \to R$ be a continuous and strictly monotone function. In the main result of this paper, we show that, for a fixed $n \geq 2$ , the $n$ -variable mean…

math.CA2025

On the new smoothness class of means and its impact to mean-type mappings

PaweÅ Pasteczka

We define so-called residual means, which have a Taylor expansion of the form $M (x) = x ˉ + \frac{1}{2} I^¾_{M} (x ˉ) Var (x) + o (∥ x - x ˉ ∥^{I^} \pm)$ for some $I^\pm > 2$ and a single-var…

math.CA2025

HÃ¶lder- and Minkowski-type inequalities for generalized quasi-arithmetic means

Zsolt PÃ¡les, PaweÅ Pasteczka

The purpose of this paper is to establish several necessary and sufficient conditions to ensure the validity of a general functional inequality in terms of generalized quasi-arithm…

math.CA2024

Equality and comparison of generalized quasiarithmetic means

Zsolt PÃ¡les, PaweÅ Pasteczka

The purpose of this paper is to extend the definition of quasiarithmetic means by taking a strictly monotone generating function instead of a strictly monotone and continuous one.…