Results 21 to 30 of about 230 (49)

Unbounded regions of Infinitely Logconcave Sequences [PDF]

, 2007
We study the properties of a logconcavity operator on a symmetric, unimodal subset of finite sequences. In doing so we are able to prove that there is a large unbounded region in this subset that is $\infty$-logconcave.
Uminsky, David, Yeats, Karen
core   +4 more sources

Inhomogeneous refinement equations with random affine maps

, 2015
Given a probability space $(\Omega,{\mathcal A},P)$, random variables $L,M\colon\Omega\to\mathbb R$ and $g\in L^1(\mathbb R)$ we obtain two characterizations of these $f\in L^1(\mathbb R)$ which are solutions of the inhomogeneous refinement equation with
Kapica, Rafał, Morawiec, Janusz
core   +1 more source

Decomposable polynomials in second order linear recurrence sequences [PDF]

, 2017
We study elements of second order linear recurrence sequences $(G_n)_{n= 0}^{\infty}$ of polynomials in $\mathbb{C}[x]$ which are decomposable, i.e.
Fuchs, Clemens, Karolus, Christina, Kreso, Dijana   +2 more
core   +2 more sources

Note on an Iterative Functional Equation

Annales Mathematicae Silesianae
We study the problem of solvability of the equation ϕ(x)=∫Ωg(w)ϕ(f(x,ω))P(dω)+F(x),\varphi \left( x \right) = \int_\Omega {g\left( w \right)} \varphi \left( {f\left( {x,\omega } \right)} \right)P\left( {d\omega } \right) + F\left( x \right), where P is ...
Baron Karol, Morawiec Janusz
doaj   +1 more source

Arithmetic based fractals associated with Pascal's triangle [PDF]

, 2005
Our goal is to study Pascal-Sierpinski gaskets, which are certain fractal sets defined in terms of divisibility of entries in Pascal's triangle. The principal tool is a "carry rule" for the addition of the base-q representation of coordinates of points in
Gamelin, T. W., Mnatsakanian, M. A.
core   +2 more sources

On Functions with Monotonic Differences

Annales Mathematicae Silesianae
Motivated by the Szostok problem on functions with monotonic differences (2005, 2007), we consider a-Wright convex functions as a generalization of Wright convex functions.
Rajba Teresa
doaj   +1 more source

Approximate Hermite-Hadamard inequality [PDF]

, 2014
The main results of this paper offer sufficient conditions in order that an approximate lower Hermite-Hadamard type inequality imply an approximate Jensen convexity property.
Házy, Attila, Makó, Judit
core  

A symbolic approach to nonlinearly perturbed heat equation [PDF]

, 2016
We consider a system described by the linear heat equation with adiabatic boundary conditions which is perturbed periodicaly. This perturbation is nonlinear and is characterized by a one-parameter family of quadratic maps.
Ramos, Carlos, Santos, Ana Isabel, Vinagre, Sandra   +2 more
core   +1 more source

Tightness for a family of recursion equations

, 2009
In this paper we study the tightness of solutions for a family of recursion equations. These equations arise naturally in the study of random walks on tree-like structures.
Bramson, Maury, Zeitouni, Ofer
core   +3 more sources

On Strongly Convex Functions [PDF]

, 2014
The main results of this paper give a connection between strong Jensen convexity and strong convexity type inequalities. We are also looking for the optimal Takagi type function of strong convexity.
Házy, Attila, Makó, Judit
core