IEEE

The classification of functions of unbounded variation on closed intervals

Abstract: The present paper mainly discuss the classification of continuous and discontinuous functions of unbounded variation on closed intervals. The classification of functions of bounded variation ...
Scientific Research Publishing

Granata, A. (2016) The Theory of Higher-Order Types of Asymptotic Variation for Differentiable Functions. Part I: Higher-Order Regular, Smooth and Rapid Variation. Advances in ...

ABSTRACT: In this second part, we thoroughly examine the types of higher-order asymptotic variation of a function obtained by all possible basic algebraic operations on higher-order varying functions.
Scientific Research Publishing

Nemytskii Operator in the Space of Set-Valued Functions of Bounded φ-Variation ()

This research was partly supported by CDCHTA of Universidad de Los Andes under the project NURR-C- 547-12-05-B. Conflicts of Interest The authors declare no conflicts of interest. [1] A. Smajdor and W ...
University of Waterloo

A limit theorem for Bernoulli convolutions and the Φ-variation of functions in the Takagi class

We consider a probabilistic approach to compute the Wiener–Young Φ-variation of fractal functions in the Takagi class. Here, the Φ-variation is understood as a generalization of the quadratic ...
Techniques de l'Ingénieur

Bounded Variation Functions

Functions with bounded variations are particular integrable functions whose total variations are finite. They play an important role in modern mathematical analysis. Functions with bounded variations ...
Frontiers

Variation of Cognitive Function During a Short Stay at Hypobaric Hypoxia Chamber (Altitude: 3842 M)

Objective: To observe the effects of a fast-acute ascent to high altitude on brain cognitive function and transcranial doppler parameters in order to understand the physiological countermeasures of ...
University of Waterloo

A limit theorem for Bernoulli convolutions and the Φ-variation of functions in the Takagi class.

A limit theorem for Bernoulli convolutions and the Φ-variation of functions in the Takagi class. Citation: Han, Xiyue , Alexander Schied, and Zhenyuan Zhang. “A limit theorem for Bernoulli ...