7 citations · 10 across the 11 of their papers we have counts for
14 papers
On a generalized conjecture by Alzer and Matkowski
Włodzimierz Fechner, Marta Pierzchałka, Gabriela Smejda
We study a recent conjecture proposed by Horst Alzer and Janusz Matkowski concerning a bilinearity property of the Cauchy exponential difference for real-to-real functions. The ori…
Two characterizations of quasiconvexity
Włodzimierz Fechner
We present two characterizations of quasiconvexity for radially semicontinuous mappings defined on a convex subset of a real linear space. As an application we obtain an extension…
Characterizations of second-order differential operators
Włodzimierz Fechner, Eszter Gselmann, Aleksandra Świątczak
{Let be positive integers with , and be a domain.} By the well-known properties of the Laplacian and the gradient, we have \[ Δ(f\cdot g)(…
Delta-Sincov mappings in Banach algebras
Włodzimierz Fechner, Aleksandra Świątczak
We study solutions and approximate solutions of the multiplicative Sincov equation for mapping taking values in a commutative Banach algebra.
Characterizations of derivations on spaces of smooth functions
Włodzimierz Fechner, Aleksandra Świątczak
We provide a list of equivalent conditions under which an additive operator acting on a space of smooth functions on a compact real interval is a multiple of the derivation.
A new class of probabilities in the n-person red-and-black game
Włodzimierz Fechner, Maria Słomian
We discuss a model of a -person, non-cooperative stochastic game, inspired by the discrete version of the red-and-black gambling problem introduced by Dubins and Savage in 1965.…