Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Grünwald, Richard"'
Autor:
Grünwald, Richárd, Páles, Zsolt
Publikováno v:
J. Math. Anal. Appl. 535(2) (2024), Paper No. 128214
The aim of this paper is to investigate inequalities that are analogous to the Minkowski and H\"older inequalities by replacing the addition and the multiplication by a more general operation, and instead of using power means, generalized Bajraktarev
Externí odkaz:
http://arxiv.org/abs/2412.05648
Autor:
Grünwald, Richárd, Páles, Zsolt
In this paper, we consider the global comparison problem of Gini means with fixed number of variables on a subinterval $I$ of $\mathbb{R}_+$, i.e., the following inequality \begin{align}\tag{$\star$}\label{ggcabs} G_{r,s}^{[n]}(x_1,\dots,x_n) \leq G_
Externí odkaz:
http://arxiv.org/abs/2408.07658
Autor:
Grünwald, Richárd, Páles, Zsolt
Publikováno v:
Acta Math. Hungar. 166(2) 2022, 594-613
The purpose of this paper is to investigate the following invariance equation involving two $2$-variable generalized Bajraktarevi\'c means, i.e., we aim to solve the functional equation $$ f^{-1}\bigg(\frac{p_1(x)f(x)+p_2(y)f(y)}{p_1(x)+p_2(y)}\bigg)
Externí odkaz:
http://arxiv.org/abs/2303.10997
Autor:
Grünwald, Richárd, Páles, Zsolt
Publikováno v:
J. Math. Anal. Appl. 512 (2022) Paper No. 126172
The purpose of this paper is to investigate the local and global comparison of two $n$-variable generalized Bajraktarevi\'c means, i.e., to establish necessary as well as sufficient conditions in terms of the unknown functions $f,g,p_1,\dots,p_n,q_1,
Externí odkaz:
http://arxiv.org/abs/2112.11871
Autor:
Grünwald, Richárd, Páles, Zsolt
The purpose of this paper is to introduce the notion of a generalized derivation which derivates a prescribed family of smooth vector-valued functions of several variables. The basic calculus rules are established and then a result derived which show
Externí odkaz:
http://arxiv.org/abs/2006.11028
Autor:
Grünwald, Richárd, Páles, Zsolt
The purpose of this paper is to investigate the equality problem of generalized Bajraktarevi\'c means, i.e., to solve the functional equation \begin{equation}\label{E0}\tag{*} f^{(-1)}\bigg(\frac{p_1(x_1)f(x_1)+\dots+p_n(x_n)f(x_n)}{p_1(x_1)+\dots+p_
Externí odkaz:
http://arxiv.org/abs/1904.07196
Autor:
Grünwald, Richárd, Páles, Zsolt
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 August 2022 512(2)
Autor:
Grünwald, Richárd, Páles, Zsolt
Publikováno v:
Acta Math. Hungar. 154(2) 2018, 530--544
The purpose of this paper is to show that functions that derivate the two-variable product function and one of the exponential, trigonometric or hyperbolic functions are also standard derivations. The more general problem considered is to describe fi
Externí odkaz:
http://arxiv.org/abs/1712.02171
Autor:
Zhu, Yu, Liu, Shiyin, Yi, Ying, Xie, Fuming, Grünwald, Richard, Miao, Wenfei, Wu, Kunpeng, Qi, Miaomiao, Gao, Yongpeng, Singh, Dharmaveer
Publikováno v:
In Science of the Total Environment 10 December 2021 799