On the 3-segment property for complex-valued functions
Charles L. Belna (1972)
Czechoslovak Mathematical Journal
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Displaying similar documents to “A note on the three-segment problem”
On the 3-segment property for complex-valued functions
Concentrated monotone measures with non-unique tangential behavior in
Robert Černý, Jan Kolář, Mirko Rokyta (2011)
Czechoslovak Mathematical Journal
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We show that for every there is a set such that is a monotone measure, the corresponding tangent measures at the origin are non-conical and non-unique and has the -dimensional density between and everywhere in the support.
Some properties of real functions of two variables and some consequences
S. Mukhopadhyay (1972)
Fundamenta Mathematicae
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Monotone measures with bad tangential behavior in the plane
Robert Černý, Jan Kolář, Mirko Rokyta (2011)
Commentationes Mathematicae Universitatis Carolinae
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We show that for every , there is a set such that is a monotone measure, the corresponding tangent measures at the origin are not unique and has the -dimensional density between and everywhere on the support.
Intersection of sectorial cluster sets and directional essential cluster sets
A. Layek, S. Mukhopadhyay (1980)
Fundamenta Mathematicae
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Two convergence theorems for Henstock-Kurzweil integrals and their applications to multiple trigonometric series
Tuo-Yeong Lee (2013)
Czechoslovak Mathematical Journal
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We establish two new norm convergence theorems for Henstock-Kurzweil integrals. In particular, we provide a unified approach for extending several results of R. P. Boas and P. Heywood from one-dimensional to multidimensional trigonometric series.