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Monotonicity Conditions in Convergence of Trigonometric Series

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Title: Monotonicity Conditions in Convergence of Trigonometric Series
Description: This book provides a comprehensive survey and investigation into the monotonicity conditions applied to the coefficients of trigonometric (or Fourier) series, exploring how these conditions influence various convergence properties, along with related topics on positivity and monotonicity. Highlighting recent breakthroughs, the book offers a systematic review of the history and development of this area, focusing on current ideas, methods, and techniques to equip readers for future advancements.Designed to be both systematic and original, the book serves as an accessible resource for mathematicians and students in analysis. With its self-contained approach, it requires only a basic knowledge of analysis, making it suitable as an advanced textbook for graduate students or a reference for researchers interested in this field.
Authors: Songping ZHOU, Yi ZHAO
Resource Type: eBook.
Subjects: Convergence, Fourier series
Categories: MATHEMATICS / Complex Analysis
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 4067063
RelevancyScore: 1123
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1122.83581542969
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  Label: Title
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  Data: Monotonicity Conditions in Convergence of Trigonometric Series
– Name: Abstract
  Label: Description
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  Data: This book provides a comprehensive survey and investigation into the monotonicity conditions applied to the coefficients of trigonometric (or Fourier) series, exploring how these conditions influence various convergence properties, along with related topics on positivity and monotonicity. Highlighting recent breakthroughs, the book offers a systematic review of the history and development of this area, focusing on current ideas, methods, and techniques to equip readers for future advancements.Designed to be both systematic and original, the book serves as an accessible resource for mathematicians and students in analysis. With its self-contained approach, it requires only a basic knowledge of analysis, making it suitable as an advanced textbook for graduate students or a reference for researchers interested in this field.
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  Data: <searchLink fieldCode="AR" term="%22Songping+ZHOU%22">Songping ZHOU</searchLink><br /><searchLink fieldCode="AR" term="%22Yi+ZHAO%22">Yi ZHAO</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Convergence%22">Convergence</searchLink><br /><searchLink fieldCode="DE" term="%22Fourier+series%22">Fourier series</searchLink>
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  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Complex+Analysis%22">MATHEMATICS / Complex Analysis</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 515.243
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Convergence
        Type: general
      – SubjectFull: Fourier series
        Type: general
    Titles:
      – TitleFull: Monotonicity Conditions in Convergence of Trigonometric Series
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Songping ZHOU
      – PersonEntity:
          Name:
            NameFull: Yi ZHAO
      – PersonEntity:
          Name:
            NameFull: Songping ZHOU
      – PersonEntity:
          Name:
            NameFull: Yi ZHAO
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2024
            – D: 14
              M: 05
              Type: profile
              Y: 2026
          Identifiers:
            – Type: isbn-print
              Value: 9782759837168
            – Type: isbn-electronic
              Value: 9782759837175
          Titles:
            – TitleFull: Monotonicity Conditions in Convergence of Trigonometric Series
              Type: main
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