On a certain result of J. D. Keckic.
Lazov, Petar R., Piperevski, Boro M. (1980)
Publications de l'Institut Mathématique. Nouvelle Série
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Lazov, Petar R., Piperevski, Boro M. (1980)
Publications de l'Institut Mathématique. Nouvelle Série
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Sztajnic, Jerzy (2015-11-10T18:10:02Z)
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Lesnic, Daniel (2003)
Acta Universitatis Apulensis. Mathematics - Informatics
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Daniel Cyphert, John Kelingos (1985)
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R. Norvaiša (2002)
Studia Mathematica
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The main result is a Young-Stieltjes integral representation of the composition ϕ ∘ f of two functions f and ϕ such that for some α ∈ (0,1], ϕ has a derivative satisfying a Lipschitz condition of order α, and f has bounded p-variation for some p < 1 + α. If given α ∈ (0,1], the p-variation of f is bounded for some p < 2 + α, and ϕ has a second derivative satisfying a Lipschitz condition of order α, then a similar result holds with the Young-Stieltjes integral replaced by its extension. ...
Giselle A. Monteiro (2019)
Mathematica Bohemica
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We present sufficient conditions ensuring Kurzweil-Stieltjes equiintegrability in the case when integrators belong to the class of functions of generalized bounded variation.
Rafał M. Łochowski (2013)
Colloquium Mathematicae
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For a real càdlàg function f and a positive constant c we find another càdlàg function which has the smallest total variation among all functions uniformly approximating f with accuracy c/2. The solution is expressed in terms of truncated variation, upward truncated variation and downward truncated variation introduced in earlier work of the author. They are always finite even if the total variation of f is infinite, and they may be viewed as a generalisation of the Hahn-Jordan decomposition...
Masaaki Shiba (1981)
Publications de l'Institut Mathématique
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Masaaki Shiba (1981)
Publications de l'Institut Mathématique
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Marek Cezary Zdun (1976)
Zbornik Radova
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Richard Fleissner (1977)
Fundamenta Mathematicae
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