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On the Decomposition of A Class of Functions of Bounded Variation
Canadian Journal of Mathematics, 1964Let F1(x) and F2(x) be two distribution functions, that is, non-decreasing, right-continuous functions such that Fj(— ∞) = 0 and Fj(+ ∞) = 1 (j = 1, 2). We denote their convolution by F(x) so thatthe above integrals being defined as the Lebesgue-Stieltjes integrals. Then it is easy to verify (2, p. 189) that F(x) is a distribution function.
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A Variational Technique for Bounded Starlike Functions
Canadian Journal of Mathematics, 1975Let KM = {z : \z\ < M}, 1 ≦ M < ∞ and K = K1. Let S denote the collection of functions f(z) = z + a2z2 + a3s3 + … that are regular and univalent in K. We write, for 1 < M < ∞,S(M) = ﹛f : f ∞ S, f (K) ⊂ KM ﹜,S*(M) = ﹛f : f ∞ S(M), f(K) is starlike with respect to the origin﹜.In this paper we develop a variational technique for slit domains ...
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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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On Singular Functions of Bounded Variation
Journal of the London Mathematical Society, 1948openaire +2 more sources
An Integral for Functions of Bounded Variation
Journal of the London Mathematical Society, 1934openaire +1 more source
On functions of bounded variation on convex domains in Hilbert spaces
Journal of Evolution Equations, 2021Luciana Angiuli +2 more
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Functions of bounded p-variation and weighted integrability of Fourier transforms
Acta Mathematica Hungarica, 2019S S Volosivets, Volosivets S S
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