An estimation of a generalized divided difference in uniformly convex spaces
Abstract The rest in some approximation formulae can be expressed in terms of a generalized divided di§erence on three knots.…
(original)
Strong forces in Celestial Mechanics
Abstract Strong forces in celestial mechanics have the property that the particle moving under their action can describe periodic orbits,…
Symmetric periodic orbits in the anisotropic Schwarzschild-type problem
Abstract Studying the two-body problem associated to an anisotropic Schwarzschild-type field, Mioc et al. (2003) did not succeed in proving…
A solvable version of the inverse problem of dynamics
Abstract The particular version of the inverse problem of dynamics considered here is: given the ‘slope function’ \(\gamma =f_{y}/f_{x}\), representing…
Pencils of straight lines in logarithmic potentials
Abstract The aim of the planar inverse problem of dynamics is to find the potentials under whose action a material…
Refinement of some inequalities for means
Abstract We consider weighted arithmetic means as, for example \(\alpha G+\left(1-\alpha \right) C\), with \(\alpha \in \left( 0,1\right) ,GC\) being…
Properties of palindromes in finite words
Abstract We present a method which displays all palindromes of a given length from De Bruijn words of a certain…
Two-dimensional arrays with maximal complexity
Abstract We present natural bounds for the complexity function of two-dimensional arrays, and we study the shape of the maximal…
On Lp norms and the spectral radius of operators in Hilbert spaces
Abstract We prove that \(lim_{p\rightarrow \infty}k\) \(\left \Vert f\right \Vert _{+p}^{+p}\diagup \left \Vert f\right \Vert _{p}^{p}=\left \Vert f\right \Vert _{\infty}\)…
New solutions in the direct problem of dynamics
Abstract Given a planar potential \(V\), we look for families of orbits \(f(x,y)=c\) (determined by their slope function \(\U{3b3} =fy/fx\)),…