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FUNCTIONS OF BOUNDED VARIATION AND FREE DISCONTINUITY PROBLEMS (Oxford Mathematical Monographs)
, 2001Ronald F. Gariepy
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Entropies of Sets of Functions of Bounded Variation
Canadian Journal of Mathematics, 1963In this paper the entropies of several sets of functions of bounded variation are calculated. The entropy of a metric set, a notion first introduced by Kolmogorov in (2), is a measure of its size in terms of the minimal number of sets of diameter not exceeding 2∊ necessary to cover it. Using this notion, Kolmogorov (4; p.
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ON PROPERTIES OF FUNCTIONS OF BOUNDED VARIATION ON A SET
Mathematics of the USSR-Sbornik, 1985Translation from Mat. Sb., Nov. Ser. 122(164), No.1(9), 41-63 (Russian) (1983; Zbl 0559.42005).
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Properties of Functions of Generalized Bounded Variations
2016Summary: The class of functions of \(\Lambda BV^{(p)}\) shares many properties of functions of bounded variation. Here we have shown that \(\Lambda BV^{(p)}\) is a Banach space with a suitable norm, the intersection of \(\Lambda BV^{(p)}\), over all sequences \(\Lambda\), is the class of functions of BV\(^{(p)}\) and the union of \(\Lambda BV^{(p ...
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On Singular Functions of Bounded Variation
Journal of the London Mathematical Society, 1948openaire +2 more sources
Functions with bounded Mocanu variation. II
1976Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 28 (1974), s. 23-28 ; streszcz. pol., ros. ; Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 28 (1974), s. 23-28 ; streszcz. pol., ros.
Coonce, H. B. +2 more
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An Integral for Functions of Bounded Variation
Journal of the London Mathematical Society, 1934openaire +1 more source