| 书目名称 | From Approximate Variation to Pointwise Selection Principles |
| 编辑 | Vyacheslav V. Chistyakov |
| 视频video | |
| 概述 | Explicit evaluation and approximation of bounded variation functionals on metric spaces.Highlighted feature includes a deep study of a special type of lower semicontinuous functionals.Accessible to up |
| 丛书名称 | SpringerBriefs in Optimization |
| 图书封面 |  |
| 描述 | The book addresses the minimization of special lower semicontinuous functionals over closed balls in metric spaces, called the approximate variation. The new notion of approximate variation contains more information about the bounded variation functional and has the following features: the infimum in the definition of approximate variation is not attained in general and the total Jordan variation of a function is obtained by a limiting procedure as a parameter tends to zero. By means of the approximate variation, we are able to characterize regulated functions in a generalized sense and provide powerful compactness tools in the topology of pointwise convergence, conventionally called pointwise selection principles.. .The book presents a thorough, self-contained study of the approximate variation and results which were not published previously in book form. The approximate variation is illustrated by a large number of examples designed specifically for this study. The discussion elaborates on the state-of-the-art pointwise selection principles applied to functions with values in metric spaces, normed spaces, reflexive Banach spaces, and Hilbert spaces. The highlighted feature inclu |
| 出版日期 | Book 2021 |
| 关键词 | semicontinuous functionals; metric spaces; pointwise selection principles; approximate variation; Dirich |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-87399-8 |
| isbn_softcover | 978-3-030-87398-1 |
| isbn_ebook | 978-3-030-87399-8Series ISSN 2190-8354 Series E-ISSN 2191-575X |
| issn_series | 2190-8354 |
| copyright | The Author(s), under exclusive license to Springer Nature Switzerland AG 2021 |
发表于 2025-3-21 18:51:06
