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Bounded variation and sampling
2019In 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, 1964The 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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FUNCTIONS OF BOUNDED VARIATION AND FREE DISCONTINUITY PROBLEMS (Oxford Mathematical Monographs)
, 2001Ronald F. Gariepy
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A New Generalization of Ostrowski Type Inequalities for Mappings of Bounded Variation
Lobachevskii Journal of Mathematics, 2018H. Budak, M. Sarıkaya
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Perturbed Evolution Problems with Continuous Bounded Variation in Time and Applications
, 2018D. Azzam-Laouir +2 more
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On the continuity of superposition operators in the space of functions of bounded variation
, 2017Piotr Maćkowiak
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Using DUNE-ACFem for Non-smooth Minimization of Bounded Variation Functions
, 2017Martin Alkämper, A. Langer
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Functions of Bounded Variation
Journal of Advances and Scholarly Researches in Allied Education, 2018openaire +2 more sources