In mathematical analysis, a function of bounded variation, also known as BV function, is a real-valued function whose total variation is bounded (finite): the graph of a function having this property is well behaved in a precise sense. For a continuous function of a single variable, being of bounded variation means … See more According to Boris Golubov, BV functions of a single variable were first introduced by Camille Jordan, in the paper (Jordan 1881) dealing with the convergence of Fourier series. The first successful step in the generalization of … See more BV functions of one variable Definition 1.1. The total variation of a continuous real-valued (or more generally complex-valued) function f, defined on an interval [a, b] ⊂ ℝ is the quantity where the See more As mentioned in the introduction, two large class of examples of BV functions are monotone functions, and absolutely continuous … See more Mathematics Functions of bounded variation have been studied in connection with the set of discontinuities of … See more Only the properties common to functions of one variable and to functions of several variables will be considered in the following, and proofs will be carried on only for functions of … See more Weighted BV functions It is possible to generalize the above notion of total variation so that different variations are weighted differently. More precisely, let See more • Renato Caccioppoli • Caccioppoli set • Lamberto Cesari • Ennio de Giorgi See more Webbv.bv is the Internet country code top-level domain reserved for the uninhabited Norwegian dependent territory of Bouvet Island. The domain name registry and sponsor is Norid, but .bv is not open for registration. .bv was designated on 21 August 1997 and was placed under the .no registry Norid.

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