Zobrazeno 1 - 10
of 135
pro vyhledávání: '"Fechner Włodzimierz"'
We prove a conjecture posted recently by by Horst Alzer and Janusz Matkowski concerning a bilinearity property of the Cauchy exponential difference for real-to-real functions. Moreover, we provide a generalization of their result for mappings defined
Externí odkaz:
http://arxiv.org/abs/2412.14756
Autor:
Fechner, Włodzimierz
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 of the Sion's minimax theorem, as well as a new characterization of qu
Externí odkaz:
http://arxiv.org/abs/2408.15983
Autor:
Fechner Włodzimierz, Száz Árpád
Publikováno v:
Acta Universitatis Sapientiae: Mathematica, Vol 12, Iss 1, Pp 54-84 (2020)
Improving and extending some ideas of Gottlob Frege from 1874 (on a generalization of the notion of the composition iterates of a function), we consider the composition iterates ϕn of a relation ϕ on X, defined by ϕ0=Δx, ϕn=ϕ∘ϕn-1 if n∈
Externí odkaz:
https://doaj.org/article/57572904e17c49eea188bdccece4acb9
Autor:
Fechner, Włodzimierz, Gselmann, Eszter
The paper aims to provide a full characterization of all operators $T\colon \mathscr{P}(\mathbb{C}) \to \mathscr{P}(\mathbb{C})$ acting on the space of all complex polynomials that satisfy the Leibniz rule \[ T(f\cdot g)= T(f)\cdot g+f\cdot T(g) \] f
Externí odkaz:
http://arxiv.org/abs/2311.04671
Let $r$ be a positive integer, $N$ be a nonnegative integer and $\Omega \subset \mathbb{R}^{r}$ be a domain. Further, for all multi-indices $\alpha \in \mathbb{N}^{r}$, $|\alpha|\leq N$, let us consider the partial differential operator $D^{\alpha}$
Externí odkaz:
http://arxiv.org/abs/2309.03572
{Let $N, k$ be positive integers with $k\geq 2$, and $\Omega \subset \mathbb{R}^{N}$ be a domain.} By the well-known properties of the Laplacian and the gradient, we have \[ \Delta(f\cdot g)(x)=g(x) \Delta f(x)+f(x) \Delta g(x)+2\langle \nabla f(x),
Externí odkaz:
http://arxiv.org/abs/2306.02788
We study solutions and approximate solutions of the multiplicative Sincov equation $$T(f, h) = T(f, g)T(g, h)$$ for mapping $T$ taking values in a commutative Banach algebra.
Comment: arXiv admin note: text overlap with arXiv:1906.01928
Comment: arXiv admin note: text overlap with arXiv:1906.01928
Externí odkaz:
http://arxiv.org/abs/2303.03783
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.
Externí odkaz:
http://arxiv.org/abs/2210.13035
Autor:
Fechner, Włodzimierz a, ⁎, Gselmann, Eszter b
Publikováno v:
In Indagationes Mathematicae November 2024 35(6):1294-1305
Autor:
Fechner, Włodzimierz, Słomian, Maria
We discuss a model of a $N$-person, non-cooperative stochastic game, inspired by the discrete version of the red-and-black gambling problem introduced by Dubins and Savage in 1965. Our main theorem generalizes a result of Pontiggia from 2007 which pr
Externí odkaz:
http://arxiv.org/abs/2105.14263