A generalized integral with applications to trigonometric series

DOI10.1007/BF01904969zbMath0935.26002MaRDI QIDQ1922105

Yanyan Li

Publication date: 2 May 2000

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

zbMATH Keywords

Fourier seriestrigonometric seriesDenjoy integralapproximate derivativesgeneralized absolute continuity

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Denjoy and Perron integrals, other special integrals (26A39) Absolutely continuous real functions in one variable (26A46)

Related Items (1)

A generalised continuous primitive integral and some of its applications

Cites Work

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• On convergence and growth of partial sums of Fourier series
• Peano derivatives and general integrals
• The Approximate Symmetric Integral
• Functions of bounded kth variation and absolutely kth continuous functions
• The Cesàro-Perron Integral
• The Expression of Trigonometrical Series in Fourier Form
• A Generalized Integral II
• Integrals and Trigonometric Series
• On Generalized Derivatives and Cesáro-Denjoy Integrals
• A Descriptive Definition of Cesàro-Perron Integrals
• Summable trigonometric series

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