Zobrazeno 1 - 10
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pro vyhledávání: '"convexity properties"'
Autor:
Bouali, Mohamed
We investigate the convexity property on $(0,1)$ of the functions $\varphi_{a,b,c}$ and $1/\varphi_{a,b,c}$, where $$\varphi_{a,b,c}(x)= \frac{c-\log(1-x)}{\,_2F_1(a,b,a+b,x)},$$ whenever $a,b\geq 0$ and $a+b\leq 1$. We Show that $\varphi_{a,b,c}$ (r
Externí odkaz:
http://arxiv.org/abs/2403.09695
We establish a monotonicity-type property of volume of central hyperplane sections of the 1-symmetric convex bodies, with applications to chessboard cutting. We parallel this for projections with a new convexity-type property for Rademacher sums.
Externí odkaz:
http://arxiv.org/abs/2312.13922
Let $G$ and $H$ be graphs and let $f \colon V(G)\rightarrow V(H)$ be a function. The Sierpi\'{n}ski product of $G$ and $H$ with respect to $f$, denoted by $G \otimes _f H$, is defined as the graph on the vertex set $V(G)\times V(H)$, consisting of $|
Externí odkaz:
http://arxiv.org/abs/2309.15196
Autor:
Páles, Zsolt, Shihab, Mahmood Kamil
The main purpose of this paper is to introduce various convexity concepts in terms of a positive Chebyshev system $\omega$ and give a systematic investigation of the relations among them. We generalize a celebrated theorem of Bernstein--Doetsch to th
Externí odkaz:
http://arxiv.org/abs/2303.11951
Akademický článek
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Autor:
Páles, Zsolt, Shihab, Mahmood Kamil
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 February 2024 530(2)
Publikováno v:
Iraqi Journal of Science. 2023, Vol. 64 Issue 12, p6483-6492. 10p.
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 11372-11395 (2024)
We were interested in Bernstein and Lévy measures having certain convexity-type properties. The convexity-type properties were an extension of the harmonic convexity property considered in [9]. We characterized the corresponding completely monotone
Externí odkaz:
https://doaj.org/article/dbb3cfa937ce449c8fdb777a17ae172f
Publikováno v:
Mathematics 2021
Some properties of generalized convexity for sets and for functions are identified in case of the reliability polynomials of two dual minimal networks. A method of approximating the reliability polynomials of two dual minimal network is developed bas
Externí odkaz:
http://arxiv.org/abs/2111.06604