Results 161 to 170 of about 61,523 (203)

Nonconservative Products in Bounded Variation Functions

SIAM Journal on Mathematical Analysis, 1992
Summary: There exist two definitions of products of a bounded variation function by a derivative of another bounded variation function. One of them follows from a concept of generalized functions in which arbitrary products of distributions make sense: one has only one product but its understanding involves a nonclassical concept contained in each ...
Colombeau, Jean François, Heibig, Arnaud   +1 more
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FUNCTIONS OF BOUNDED GENERALIZED SECOND VARIATION

Mathematics of the USSR-Sbornik, 1980
This 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 Superposition of Functions of Bounded ϕ-Variation

Proceedings of the American Mathematical Society, 1989
A 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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The Fourier Transform of a Function of Bounded Variation: Symmetry and Asymmetry

Journal of Fourier Analysis and Applications, 2017
E. Liflyand
semanticscholar   +1 more source

On the Decomposition of A Class of Functions of Bounded Variation

Canadian Journal of Mathematics, 1964
Let 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, 1975
Let 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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Refinement of the Estimate for the Rate of Uniform Convergence of the Fourier Series of a Continuous Periodic Function of Bounded Variation

Mathematical Notes, 2023
Popov A Yu
exaly  

The Fourier-Stieltjes Coefficients of a Function of Bounded Variation

, 1939
A. Schaeffer
semanticscholar   +1 more source

Functions with bounded Mocanu variation. II

1976
Artykuł 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., Eenigenburg, M. R., Ziegler, Michael R. (1942- )   +2 more
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Determination of the jump of a function of bounded p-variation by its Fourier series

, 1972
B. Golubov
semanticscholar   +1 more source