Results 131 to 140 of about 548,657 (153)

Bounded Variation Spaces with p-Variable

Mediterranean Journal of Mathematics, 2013
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Castillo, René Erlín, Merentes, Nelson, Rafeiro, Humberto   +2 more
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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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Composing Functions of Bounded ϕ-Variation

Proceedings of the American Mathematical Society, 1986
Functions of bounded \(\phi\)-variation appeared first in a paper of \textit{N. Wiener} [Massachusetts J. Math. 3, 72-94 (1924)]. Afterwards it was studied by others leading to generalizations and different perspectives. A \(\phi\)-function what is understood as far as this paper is concerned is a continuous, unbounded, non-decreasing function on \([0,\
Ciemnoczołowski, J., Orlicz, W.
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ON FUNCTIONS OF GENERALIZED BOUNDED VARIATION

Mathematics of the USSR-Izvestiya, 1983
The following theorem by F. and M. Riesz is well known: If \(\Phi\) and its conjugate \({\tilde \Phi}\) are functions of bounded variation then \(\Phi\) and \({\tilde \Phi}\) are absolutely continuous. The author obtains the following generalization of this theorem. Theorem.
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ON FUNCTIONS OF BOUNDED $ p$-VARIATION

Mathematics of the USSR-Izvestiya, 1968
In this article we obtain an asymptotic formula for the approximations to functions in the class (, ) by Fourier sums in the metric of (). We find sufficient conditions and also criteria for the continuity of the derivative of a function in the class . We also give some results on the Fourier coefficients of functions in the above class.
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Metric-Valued Mappings of Bounded Variation

Journal of Mathematical Sciences, 2002
This is an interesting survey on the theory and applications of maps of bounded variation with values in an abstract metric (in particular, normed) space. The author discusses interconnections with other classes of maps, discontinuity properties of the variation of a map, and structural properties of the space of all such maps.
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Functions of Bounded Variation

1989
A 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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Bounded variation and sampling

2019
In this chapter, we shall consider certain problems where a function of bounded variation generates trigonometric series which are then compared with its Fourier integral. In fact, Chapter 4 in [198] is devoted to these problems. Here, the more modern term “sampling” is equivalent to the older “discretization”.
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Simple Variational Bound to the Entropy

Physical Review, 1964
The following variational principle is obtained for the entropy $S(E)$ of a system with energy $E:S(E)\ensuremath{\geqq}\ensuremath{-}k \mathrm{ln}(\mathrm{Trace}{U}^{2})$ for all non-negative Hermitian density matrices $U$ with Trace $U=1$, Trace $HU=E$; $H$ is the Hamiltonian and $k$ is Boltzmann's constant.
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Bounded Variation

1996
R. Kannan, Carole King Krueger
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