p-Lambda-bounded variation

Authors

Abstract:

A characteriation of continuity of the $p$-$Lambda$-variation function is given and the Helly's selection principle for $Lambda BV^{(p)}$ functions is established. A characterization of the inclusion of Waterman-Shiba classes into classes of functions with given integral modulus of continuity is given. A useful estimate on modulus of variation of functions of class $Lambda BV^{(p)}$ is found.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

p-lambda-bounded variation

a characteriation of continuity of the $p$-$lambda$-variation function is given and the helly's selection principle for $lambda bv^{(p)}$ functions is established. a characterization of the inclusion of waterman-shiba classes into classes of functions with given integral modulus of continuity is given. a useful estimate on modulus of variation of functions of class $lambda bv^{(p)}$ is found.

full text

On the Spaces of $lambda _{r}$-almost Convergent and $lambda _{r}$-almost Bounded Sequences

The aim of the present work is to introduce the concept of $lambda _{r}$-almost convergence of sequences. We define the spaces $fleft( lambda _{r}right) $ and $f_{0}left( lambda _{r}right) $ of $ lambda _{r}$-almost convergent and $lambda _{r}$-almost null sequences. We investigate some inclusion relations concerning those spaces with examples and we determine the $beta $- and $gamma $-duals of...

full text

p-Bounded variation fuzzy real-valued double sequence space

In this paper we have introduced the notion of fuzzy real-valued p-bounded variation double sequence space p F bv 2 (1 ≤ p < ∞). We have studied some important properties like completeness, convergence free, solid, symmetric. Some inclusion results are also established.

full text

Lambda-terms of Bounded Unary Height

We aim at the asymptotic enumeration of lambda-terms of a given size where the order of nesting of abstractions is bounded whereas the size is tending to infinity. This is done by means of a generating function approach and singularity analysis. The generating functions appear to be composed of nested square roots which exhibit unexpected phenomena. We derive the asymptotic number of such lambd...

full text

Functions of Bounded Higher Variation

In this paper we de ne functions of bounded n-variation, which we call BnV functions, and we establish some properties of such functions. These are a natural generalization of the space of BV functions. In particular, in the same way that the BV norm naturally allows functions with discontinuities along sets of codimension one, we show that BnV functions may have discontinuities along codimensi...

full text

Sharply Bounded Alternation within P

We deene the sharply bounded hierarchy, SBH (QL), a hierarchy of classes within P , using quasilinear-time computation and quantiication over values of length log n. It generalizes the limited nondeterminism hierarchy introduced by Buss and Gold-smith, while retaining the invariance properties. The new hierarchy has several alternative characterizations. We deene both SBH (QL) and its correspon...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 37  issue No. 4

pages  35- 49

publication date 2011-12-15

By following a journal you will be notified via email when a new issue of this journal is published.

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023