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Calculus and fine properties of functions of bounded variation on RCD spaces [PDF]

open access: greenJournal of Geometric Analysis, 2022
We generalize the classical calculus rules satisfied by functions of bounded variation to the framework of RCD\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy ...
Camillo Brena, Nicola Gigli
openalex   +3 more sources

BOUNDED VARIATION ON THE SIERPIŃSKI GASKET [PDF]

open access: yesFractals, 2022
Under certain continuity conditions, we estimate upper and lower box dimensions of the graph of a function defined on the Sierpiński gasket. We also give an upper bound for Hausdorff dimension and box dimension of the graph of a function having finite energy.
Verma, S., Sahu, A.
openaire   +4 more sources

Ostrowski type inequalities for sets and functions of bounded variation [PDF]

open access: yesJournal of Inequalities and Applications, 2017
In this paper we obtain sharp Ostrowski type inequalities for multidimensional sets of bounded variation and multivariate functions of bounded variation.
Oleg V Kovalenko
doaj   +2 more sources

Integral Representation of Functions of Bounded Variation

open access: yesJournal of Mathematics, 2019
Functions of bounded variations form important transition between absolute continuous and singular functions. With Bainov’s introduction of impulsive differential equations having solutions of bounded variation, this class of functions had eventually ...
Z. Lipcsey   +3 more
doaj   +2 more sources

Multifunctions of bounded variation [PDF]

open access: yesJournal of Differential Equations, 2015
Consider control systems described by a differential equation with a control term or, more generally, by a differential inclusion with velocity set F(t,x).
Vinter, RB
core   +5 more sources

Ornstein-Uhlenbeck Processes of Bounded Variation [PDF]

open access: yesMethodology and Computing in Applied Probability, 2020
23 ...
N. Ratanov
openaire   +4 more sources

Fractional Sobolev Spaces and Functions of Bounded Variation of One Variable [PDF]

open access: green, 2017
We investigate the 1D Riemann-Liouville fractional derivative focusing on the connections with fractional Sobolev spaces, the space BV of functions of bounded variation, whose derivatives are not functions but measures and the space SBV, say the space of
Maı̈tine Bergounioux   +3 more
openalex   +3 more sources

On integral bounded variation [PDF]

open access: yesRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017
The notion of \(q\)-integral \(p\)-variation, being an integral counterpart of Wiener's \(p\)-variation, has been introduced by \textit{A. P. Terehin} [Math. USSR, Sb. 17, 279--288 (1973; Zbl 0262.26011); translation from Mat. Sb., n. Ser. 88(130), 277--286 (1972)].
J. Gulgowski
openaire   +3 more sources

Computable Jordan Decomposition of Linear Continuous Functionals on $C[0;1]$ [PDF]

open access: yesLogical Methods in Computer Science, 2014
By the Riesz representation theorem using the Riemann-Stieltjes integral, linear continuous functionals on the set of continuous functions from the unit interval into the reals can either be characterized by functions of bounded variation from the unit ...
Klaus Weihrauch, Tahereh Jafarikhah
doaj   +4 more sources

Bounded Variation Separates Weak and Strong Average Lipschitz [PDF]

open access: yesEntropy
We closely examine a recently introduced notion of average smoothness. The latter defined a weak and strong average-Lipschitz seminorm for real-valued functions on general metric spaces.
Ariel Elperin, Aryeh Kontorovich
doaj   +2 more sources

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