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On the Riemann derivatives of \(C_ sP\)-integrable functions

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Publication:583400
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DOI10.1007/BF02020765zbMath0692.26003OpenAlexW2333069325MaRDI QIDQ583400

Jianyong Qiao, Sumit K. Garg

Publication date: 1989

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02020765


zbMATH Keywords

Riemann derivativeFourier seriestrigonometric seriesCesàro-Perron integralPeano derivativerepeated indefinite integral


Mathematics Subject Classification ID

Denjoy and Perron integrals, other special integrals (26A39) Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization (42A63)


Related Items (2)

Riemann summability of trigonometric series and Riemann derivatives of real functions ⋮ The Butzer-Kozakiewicz article on Riemann derivatives of 1954 and its influence




Cites Work

  • A criterion for \(n\)-convexity
  • A New Characterization of Cesaro-Perron Integrals Using Peano Derivates
  • On multipliers preserving convergence of trigonometric series almost everywhere
  • On a certain property of the derivative
  • On the Peano Derivatives
  • The Cesàro-Perron Scale of Integration
  • The Exact Peano Derivative
  • On the Riemann Derivatives for Integrable Functions




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