Cesàro-Perron-Stieltjes integral
D. K. Dutta (1979)
Colloquium Mathematicae
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D. K. Dutta (1979)
Colloquium Mathematicae
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Schwabik, Štefan, Tvrdý, Milan, Vejvoda, Otto
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Štefan Schwabik (1977)
Časopis pro pěstování matematiky
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Štefan Schwabik, Milan Tvrdý (1973)
Časopis pro pěstování matematiky
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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. ...