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On Superposition of Functions of Bounded ϕ-Variation
Proceedings of the American Mathematical Society, 1989A function \(\phi\) : [0,\(\infty)\to [0,\infty)\) is called a \(\phi\)- function if it is continuous, non-decreasing and such that \(\phi (0)=0\), \(\phi (u)>0\) for \(u>0\) and \(\phi\) (u)\(\to \infty\) as \(u\to \infty\). For a \(\phi\)-function \(\phi\) and a real function F defined on (- \(\infty,\infty)\) it is said that \(F\in GL_{\phi}\) if ...
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Functions of Bounded Variation
1989A function of bounded variation of one variable can be characterized as an integrable function whose derivative in the sense of distributions is a signed measure with finite total variation. This chapter is directed to the multivariate analog of these functions, namely the class of L1functions whose partial derivatives are measures in the sense of ...
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FUNCTIONS OF BOUNDED GENERALIZED SECOND VARIATION
Mathematics of the USSR-Sbornik, 1980This paper introduces the classes and of functions of variables. These classes, for , are more general than the class of functions of bounded second variation introduced by F.I. Harsiladze, and in the case they contain the classes of functions of bounded generalized variation introduced by B.I. Golubov.
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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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