Title of article
Some quantities related to monotonicity and bounded variation of functions
Author/Authors
Appell، نويسنده , , Jürgen and Bana?، نويسنده , , J?zef and Merentes، نويسنده , , Nelson، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
10
From page
476
To page
485
Abstract
The aim of this paper is to introduce and study some quantities connected with monotonicity and bounded variation of real functions. These quantities will also be considered for bounded subsets of spaces of bounded or continuous functions on a compact interval, equipped with the standard supremum norm. Several properties of such quantities are established, and possible applications are briefly sketched. Moreover, some relation with the theory of measures of noncompactness is discussed as well.
Keywords
Modulus of monotonicity , Measure of noncompactness , Modulus of continuity , Bounded function , Modulus of decrease and increase , Bounded variation
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2010
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561012
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