Zobrazeno 1 - 10
of 648
pro vyhledávání: '"VUORINEN M"'
Autor:
VUORINEN M, BHAYO B. A
Publikováno v:
Проблемы анализа, Vol 2 (20), Iss 1, Pp 14-37 (2013)
Motivated by the work of P. Lindqvist, we study eigenfunctions of the one-dimensional p-Laplace operator, the sinp functions, and prove several inequalities for these and p-analogues of other trigonometric functions and their inverse functions. Simil
Externí odkaz:
https://doaj.org/article/92c485f639a74487b37dece686bcc05c
We study inequalities between the hyperbolic metric and intrinsic metrics in convex polygonal domains in the complex plane. Special attention is paid to the triangular ratio metric in rectangles. A local study leads to an investigation of the relatio
Externí odkaz:
http://arxiv.org/abs/2206.03744
Publikováno v:
Journal of Inequalities and Applications, Vol 2010, Iss 1, p 362548 (2010)
This paper deals with some inequalities for trigonometric and hyperbolic functions such as the Jordan inequality and its generalizations. In particular, lower and upper bounds for functions such as and are proved.
Externí odkaz:
https://doaj.org/article/a25bcade17b942b18b0fd57a95d7ba06
Autor:
Vuorinen M, Mateljević M
Publikováno v:
Journal of Inequalities and Applications, Vol 2010, Iss 1, p 178732 (2010)
Abstract The purpose of this paper is to explore conditions which guarantee Lipschitz-continuity of harmonic maps with respect to quasihyperbolic metrics. For instance, we prove that harmonic quasiconformal maps are Lipschitz with respect to quasihyp
Externí odkaz:
https://doaj.org/article/186e1ad460464d02bd68dc2636631283
We study moduli of planar ring domains whose complements are linear segments and establish formulas for their moduli in terms of the Weierstrass elliptic functions. Numerical tests are carried out to illuminate our results.
Comment: 21 pages, 4
Comment: 21 pages, 4
Externí odkaz:
http://arxiv.org/abs/1908.02459
Publikováno v:
Journal of Inequalities and Applications, Vol 1999, Iss 2, p 537012 (1999)
The authors obtain some new functional inequalities for the Hersch–Pfluger distortion function in the theory of plane quasiconformal mappings, thus solving some recent conjectures.
Externí odkaz:
https://doaj.org/article/c9d0f12d1dc342e8b64590fa5336c8d1
Publikováno v:
J. Aust. Math. Soc. 97 (2014) 383-390
Suppose that $E$ and $E'$ denote real Banach spaces with dimension at least $2$ and that $D\subset E$ and $D'\subset E'$ are domains. In this paper, we establish, in terms of the $j_D$ metric, a necessary and sufficient condition for the homeomorphis
Externí odkaz:
http://arxiv.org/abs/1404.0199
We study the stability of John domains in Banach spaces under removal of a countable set of points. In particular, we prove that the class of John domains is stable in the sense that removing a certain type of closed countable set from the domain yie
Externí odkaz:
http://arxiv.org/abs/1309.6159
Suppose that $E$ and $E'$ denote real Banach spaces with dimension at least 2 and that $D\varsubsetneq E$ and $D'\varsubsetneq E'$ are uniform domains with homogeneously dense boundaries. We consider the class of all $\varphi$-FQC (freely $\varphi$-q
Externí odkaz:
http://arxiv.org/abs/1209.5691
Suppose that $E$ denotes a real Banach space with the dimension at least 2. The main aim of this paper is to show that a domain $D$ in $E$ is a $\psi$-uniform domain if and only if $D\backslash P$ is a $\psi_1$-uniform domain, and $D$ is a uniform do
Externí odkaz:
http://arxiv.org/abs/1206.0128