From Approximate Variation To Pointwise Selection Principles - Vyacheslav V. Chistyakov

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From Approximate Variation To Pointwise Selection Principles - Vyacheslav V. Chistyakov

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From Approximate Variation To Pointwise Selection Principles - Vyacheslav V. Chistyakov

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From Approximate Variation To Pointwise Selection Principles - Vyacheslav V. Chistyakov

The Book Addresses The Minimization Of Special Lower Semicontinuous Functionals Over Closed Balls In Metric Spaces, Called The Approximate Variation. The 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.
  • Brand: Unbranded
  • Category: Science, Medicine & Nature
  • Format: Paperback
  • Language: English
  • Publication Date: 2021-10-23
  • Publisher / Label: Springer Nature B.V
  • Author: Vyacheslav V. Chisty
  • Number of Pages: 102
  • Fruugo ID: 469769374-983724301
  • ISBN: 9783030873981
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