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 2024Show all

4 papers · 1 filter

math.CA2024

Equality and comparison of generalized quasiarithmetic means

Zsolt Páles, Paweł 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.…

math.CA2024

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

Paweł Pasteczka

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

math.DS2024

Multivariable generalizations of bivariate means via invariance

Paweł Pasteczka

For a given $p$ -variable mean $M : I^{p} \to I$ ( $I$ is a subinterval of $R$ ), following (Horwitz, 2002) and (Lawson and Lim, 2008), we can define (under certain assump…

math.CA2024

Pexider invariance equation for embeddable mean-type mappings

Paweł Pasteczka

We prove that whenever $M_{1}, \dots, M_{n} : I^{k} \to I$ , ( $n, k \in N$ ) are symmetric, continuous means on the interval $I$ and $S_{1}, \dots, S_{m} : I^{k} \to I$ ( $m < n$ ) sati…