Results 11 to 20 of about 315 (60)

Parameter depending almost monotonic functions and their applications to dimensions in metric measure spaces

open access: yesJournal of Function Spaces, Volume 7, Issue 1, Page 61-89, 2009., 2009
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 269-276, 1998., 1996
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]

open access: yes, 2014
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 4, Page 823-827, 1998., 1998
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

open access: yesDemonstratio Mathematica, 2017
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]

open access: yes, 2014
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]

open access: yes, 2011
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

On Quasi-inversions [PDF]

open access: yes, 2015
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]

open access: yes, 2010
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]

open access: yes, 2014
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  

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