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Calculus and fine properties of functions of bounded variation on RCD spaces [PDF]
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
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BOUNDED VARIATION ON THE SIERPIŃSKI GASKET [PDF]
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.
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Ostrowski type inequalities for sets and functions of bounded variation [PDF]
In this paper we obtain sharp Ostrowski type inequalities for multidimensional sets of bounded variation and multivariate functions of bounded variation.
Oleg V Kovalenko
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Integral Representation of Functions of Bounded Variation
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
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Multifunctions of bounded variation [PDF]
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
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Ornstein-Uhlenbeck Processes of Bounded Variation [PDF]
23 ...
N. Ratanov
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Fractional Sobolev Spaces and Functions of Bounded Variation of One Variable [PDF]
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
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On integral bounded variation [PDF]
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
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Computable Jordan Decomposition of Linear Continuous Functionals on $C[0;1]$ [PDF]
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
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Bounded Variation Separates Weak and Strong Average Lipschitz [PDF]
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
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