17 papers · 1 filter
Equality problem for generalized quasiarithmetic means generated by discontinuous strictly monotonic functions
Tibor Kiss, Paweł Pasteczka
We study the equality problem of generalized quasiarithmetic means for a strictly monotonic generator that is not necessarily continuous. We provide two sufficient conditions t…
On subadditive quasi-arithmetic means
Zsolt Páles, Paweł Pasteczka
Let be a continuous and strictly monotone function. In the main result of this paper, we show that, for a fixed , the -variable mean…
Hölder- and Minkowski-type inequalities for generalized quasi-arithmetic means
Zsolt Páles, Paweł 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…
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.…
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 for some and a single-variab…
Pexider invariance equation for embeddable mean-type mappings
Paweł Pasteczka
We prove that whenever , () are symmetric, continuous means on the interval and () sati…