On the regularity of the P\(^n\)-integral and its applications to summable trigonometric series

DOI10.2140/PJM.1974.55.233zbMath0294.26011OpenAlexW2079353031MaRDI QIDQ1212568

S. Singh

Publication date: 1974

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1974.55.233

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Convexity of real functions in one variable, generalizations (26A51) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Denjoy and Perron integrals, other special integrals (26A39) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (5)

Functions with a \({\mathcal D}_*\)-integrable symmetric derivative ⋮ Riemann summability of trigonometric series and Riemann derivatives of real functions ⋮ Summable trigonometric series ⋮ On properties of peano derivates ⋮ Generalised smooth functions

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