A New Approximation Result for Bv-functions
نویسندگان
چکیده
This note is devoted to obtain an approximation result for BV-functions by means of a quasipolyhedral sequence of BV-functions. This approximation could have interesting applications in some problems of the Calculus of Variations.
منابع مشابه
Charaterization of generalised gradient young measures generated by sequences in W 1 , 1 and BV
Generalized Young measures as introduced by DiPerna and Majda [Comm. Math. Phys. 108 (1987), 667–689] provide a quantitative tool for studying oscillation and concentration effects in sequences of functions. In this work, after developing a functional-analytic framework for such measures including a compactness theorem and results on the generation of such Young measures by L-bounded sequences ...
متن کاملCombination of Approximation and Simulation Approaches for Distribution Functions in Stochastic Networks
This paper deals with the fundamental problem of estimating the distribution function (df) of the duration of the longest path in the stochastic activity network such as PERT network. First a technique is introduced to reduce variance in Conditional Monte Carlo Sampling (CMCS). Second, based on this technique a new procedure is developed for CMCS. Third, a combined approach of simulation and ap...
متن کاملA Continuity Result for Integral Functionals Defined on Bv and Applications to Relaxation
This paper is devoted to prove a continuity theorem for integral functional defined on BV(Ω). This result is applied in order to obtain new relaxation and Γ-convergence theorems on BV(Ω) without any coerciveness and any continuity assumption of the integrand with respect to the spatial variable.
متن کاملContinuous Discrete Variable Optimization of Structures Using Approximation Methods
Optimum design of structures is achieved while the design variables are continuous and discrete. To reduce the computational work involved in the optimization process, all the functions that are expensive to evaluate, are approximated. To approximate these functions, a semi quadratic function is employed. Only the diagonal terms of the Hessian matrix are used and these elements are estimated fr...
متن کاملThe Basic Theorem and its Consequences
Let T be a compact Hausdorff topological space and let M denote an n–dimensional subspace of the space C(T ), the space of real–valued continuous functions on T and let the space be equipped with the uniform norm. Zukhovitskii [7] attributes the Basic Theorem to E.Ya.Remez and gives a proof by duality. He also gives a proof due to Shnirel’man, which uses Helly’s Theorem, now the paper obtains a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004