On the differential subordination of harmonic mean to a linear function / O podporządkowaniu różniczkowym średniej harmonicznej funkcji liniowej
Journal Title: Bulletin de la Société des sciences et des lettres de Łódź, Série: Recherches sur les déformations - Year 2016, Vol 0, Issue 2
Abstract
In this paper we examine the differential subordination related to the harmonic mean. For a dominant being a linear function we improve the general result of [?].
Authors and Affiliations
Oliwia Chojnacka, Adam Lecko
Some estimations of the Łojasiewicz exponent for polynomial mappings on semialgebraic sets / Pewne szacowania wykładnika Łojasiewicza dla odwzorowań wielomianowych na zbiorach semialgebraicznych
We strengthen some estimations of the local and global Lojasiewicz exponent for polynomial mappings on closed semialgebraic sets obtained by K. Kurdyka, S. Spodzieja and A. Szlachcińska in [4].
Classes of convex polyhedra closed under Minkowski addition / Klasy wielościanów wypukłych zamknięte ze względu na dodawanie Minkowskiego
In this paper we study classes of convex polyhedra with normal vectors belonging to a given finite set G of vectors. Since a Minkowski sum A+B of two polyhedra may have normal vectors which are normal to no face of A or...
Canonical superenergy density and local gravitational stability / Gęstość kanonicznej super energii a lokalna stabilność grawitacyjna
In the framework of general relativity one has very hard problem with gravitational energy density, not satisfactorily solved up to now. It is a consequence of the Einstein Equivalence Principle. To avoid the problem we...
Thermodynamic properties of a Hubbard model on a cubic cluster - exact diagonalization study at quarter filling
We study the thermodynamics of a zero-dimensional, cubic cluster described with a Hubbard Hamiltonian, focusing our interest on the magnetic properties. The range in which the studied cluster is paramagnetic is considere...
Analysis of a viscoelastic frictionless contact problem with unilateral constraint / Analiza elastycznego kontaktu z uwzględnieniem lepkości w aspekcie jednostronnych więzów
We consider a quasistatic problem which models the contact between a deformable body and a foundation. The material is assumed to have a viscoelastic behavior that we model with a constitutive law with long-term memory;...