Results 11 to 20 of about 315 (60)
In connection with application to various problems of operator theory, we study almost monotonic functions w(x, r) depending on a parameter x which runs a metric measure space X, and the so called index numbers m(w, x), M(w, x) of such functions, and consider some generalized Zygmund, Bary, Lozinskii and Stechkin conditions.
Natasha Samko, Vladimir D. Stepanov
wiley +1 more source
On common fixed and periodic points of commuting functions
It is known that two commuting continuous functions on an interval need not have a common fixed point. It is not known if such two functions have a common periodic point. In this paper we first give some results in this direction. We then define a new contractive condition, under which two continuous functions must have a unique common fixed point.
Aliasghar Alikhani-Koopaei
wiley +1 more source
Optimal pricing for optimal transport [PDF]
Suppose that $c(x,y)$ is the cost of transporting a unit of mass from $x\in X$ to $y\in Y$ and suppose that a mass distribution $\mu$ on $X$ is transported optimally (so that the total cost of transportation is minimal) to the mass distribution $\nu$ on $
Bartz, Sedi, Reich, Simeon
core +1 more source
A counter example on common periodic points of functions
By a counter example we show that two continuous functions defined on a compact metric space satisfying a certain semi metric need not have a common periodic point.
Aliasghar Alikhani-Koopaei
wiley +1 more source
On generalized Baskakov-Durrmeyer-Stancu type operators
In this paper, we study some local approximation properties of generalized Baskakov-Durrmeyer-Stancu operators. First, we establish a recurrence relation for the central moments of these operators, then we obtain a local direct result in terms of the ...
Kumar Angamuthu Sathish +2 more
doaj +1 more source
Analysis of a fractal boundary: the graph of the Knopp function [PDF]
A usual classification tool to study a fractal interface is the computation of its fractal dimension. But a recent method developed by Y. Heurteaux and S.
Melot, Clothilde, Slimane, Mourad Ben
core +4 more sources
Partial expansion of a Lipschitz domain and some applications [PDF]
We show that a Lipschitz domain can be expanded solely near a part of its boundary, assuming that the part is enclosed by a piecewise C1 curve. The expanded domain as well as the extended part are both Lipschitz.
Gopalakrishnan, Jay, Qiu, Weifeng
core +3 more sources
Given a bounded domain $D \subset {\mathbb R}^n$ strictly starlike with respect to $0 \in D\,,$ we define a quasi-inversion w.r.t. the boundary $\partial D \,.$ We show that the quasi-inversion is bi-Lipschitz w.r.t.
Kalaj, David +2 more
core +1 more source
The Method of Strained Coordinates for Vibrations with Weak Unilateral Springs [PDF]
We study some spring mass models for a structure having a unilateral spring of small rigidity $\epsilon$. We obtain and justify an asymptotic expansion with the method of strained coordinates with new tools to handle such defects, including a non ...
Junca, Stéphane, Rousselet, Bernard
core +3 more sources
Weakly compact composition operators on spaces of Lipschitz functions [PDF]
Let $X$ be a pointed compact metric space. Assuming that $\mathrm{lip}_0(X)$ has the uniform separation property, we prove that every weakly compact composition operator on spaces of Lipschitz functions $\mathrm{Lip}_0(X)$ and $\mathrm{lip}_0(X)$ is ...
Jiménez-Vargas, A.
core

