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Selection theorems, based on generalized variation and oscillation

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Publication:1106347
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DOI10.1007/BF02843906zbMath0651.26010MaRDI QIDQ1106347

Caterina Maniscalco, Luisa Di Piazza

Publication date: 1986

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)


zbMATH Keywords

pointwise convergencegeneralized variationHelly's selection theoremAscoli's theoremlambda-convergenceuniformly limited oscillation


Mathematics Subject Classification ID

Functions of bounded variation, generalizations (26A45)


Related Items

A pointwise selection principle for maps of several variables via the total joint variation ⋮ A pointwise selection principle for metric semigroup valued functions ⋮ Selection principle for pointwise bounded sequences of functions



Cites Work

  • Unnamed Item
  • Functions of Φ-Bounded Variation and Riemann-Stieltjes Integration
  • Functions of generalized variation
  • On convergence of Fourier series of functions of generalized bounded variation
  • A generalization of the Helly selection theorem


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