bounded variation


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bounded variation

[¦bau̇n·dəd ver·ē′ā·shən]
(mathematics)
A real-valued function is of bounded variation on an interval if its total variation there is bounded.
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The five selections that make up the main body of the text are devoted to geodesics in sub-Riemannian geometry, the geometry of subelliptic diffusions, the geometric foundations of rough paths, Sobolev and bounded variation functions on metric measure spaces, and singularities of vector distributions.
Geometry, Analysis and Dynamics on Sub-Riemannian Manifolds; Volume 2
In the future we shall study existences of extremal functions using suitable spaces of functions of bounded variation (c.
Radial symmetry and its breaking in the Caffarelli-Kohn-Nirenberg type inequalities for p = 1
1] : f [member of] C(J x R, R), A is a function of bounded variation and the measure dA is non-negative.
First-order differential equations with nonlocal boundary conditions
There are no infinite dimensional closed subspaces of C [0,1] composed by just functions of bounded variation.
On Weierstrass' Monsters and lineability
for each x [member of] [a, b], provided f is of bounded variation on [a, b], while u: [a, b] [right arrow] R is r-H-Holder continuous, i.
A companion for the generalized Ostrowski and the generalized trapezoid type inequalities
Hardy (1917) introduced the notions of regular convergence of double sequences and the notion of bounded variation of double sequences as follows:
p-bounded variation fuzzy real-valued double sequence space/Variacao de fuzzy limitada a p de valor real de espacos de sequencia duplo
Let TV[0,1], respectively AC[0,1], denote the class of all functions of bounded variation, respectively the absolutely continuous functions on [0,1].
Approximation in variation by the Kantorovich operators/ Kantorovichi operaatoritega lahendamine variatsiooni mottes
Among the topics are variation on the p-Laplacian, extremal functions in Poincare-Sobolev inequalities for functions of bounded variation, homocline type solutions for a class of differential equations with periodic coefficients, the cooperative case of quasilinear and singular systems, weighted asymmetric problems for an indefinite elliptic operator, multiple non-trivial solutions of the Dirichlet problem for the prescribed mean curvature equation, and existence of nodal solutions for some nonlinear elliptic problems.
Nonlinear elliptic partial differential equations; proceedings
As our main results will demonstrate, the perimeter which can be computed from the covariogram is the one from the theory of functions of bounded variation (Ambrosio et al.
Computation of the perimeter of measurable sets via their covariogram. Applications to random sets
The results are stronger than that in paper [5], meanwhile the results are essential generalization of continuous dependence of bounded variation solutions on parameters for Kurzweil equations in paper [6].
Continuous dependence of bounded [PHI]--variation solutions on parameters for Kurzweil equations
If [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (where the sum is taken over {b'} which form a finite Borel partition of b, for all Borel sets bin B; then [mu] is said to be of bounded variation.
Banach space valued Mean Periodic Functions
By definition for [PHI] (u) = u we have the ordinary bounded variation V (f, [DELTA]) of the function f on a segment [DELTA].
On the exact estimates of the best spline approximations of functions

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