Cesàro-Perron-Stieltjes integral
D. K. Dutta (1979)
Colloquium Mathematicae
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D. K. Dutta (1979)
Colloquium Mathematicae
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Banaś, Józef (1998)
International Journal of Mathematics and Mathematical Sciences
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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.
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. ...
Colin C. Graham (1976)
Colloquium Mathematicae
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Amiran Gogatishvili, Ushangi Goginava, George Tephnadze (2014)
Banach Center Publications
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We prove inclusion relations between generalizing Waterman's and generalized Wiener's classes for functions of two variable.
Louis Pigno (1981)
Colloquium Mathematicae
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S. Hartman (1975)
Colloquium Mathematicae
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Stevan Pilipović (1986)
Publications de l'Institut Mathématique
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Schmeelk, John (2001)
International Journal of Mathematics and Mathematical Sciences
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Henry Helson (1954)
Studia Mathematica
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Colin C. Graham (1973)
Colloquium Mathematicae
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R. Kaufman (1971)
Colloquium Mathematicae
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Donald E. Ramirez (1973)
Colloquium Mathematicae
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