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 ...

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 ...

Functions of bounded variation were introduced by C. Jordan in connexion with Dirichlet's test for the convergence of Fourier series. However, the modern definition of functions of bounded variation ...

We show that the lateral regularizations of the generator of any uniformly bounded set-valued composition Nemytskij operator acting in the spaces of functions of bounded variation in the sense of ...

1 Institute of Mathematics, University of Lübeck, Lübeck, Germany 2 Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine This paper ...

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 ...

Introduction Tobacco is the world’s leading preventable cause of disease and death. People with depression are twice as likely to smoke and are less responsive to standard tobacco treatments as ...

1 Department of Biology and Environmental Science, Linnaeus University, Kalmar, Sweden 2 Institut de Biologia Evolutiva (CSIC), Universitat Pompeu Fabra, Barcelona, Spain To justify the use of linear ...