Riemann Summability of Trigonometric Series and Riemann Derivatives of Real Functions

S. N. Mukhopadhyay; S. Ray

doi:10.14321/realanalexch.44.2.0287

Abstract

A relation between Riemann summability and Riemann derivative is established and necessary and sufficient conditions for Riemann summability of trigonometric series are obtained

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S. N. Mukhopadhyay. S. Ray. "Riemann Summability of Trigonometric Series and Riemann Derivatives of Real Functions." Real Anal. Exchange 44 (2) 287 - 304, 2019. https://doi.org/10.14321/realanalexch.44.2.0287

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Published: 2019

First available in Project Euclid: 1 May 2020

zbMATH: 07211593

Digital Object Identifier: 10.14321/realanalexch.44.2.0287

Subjects:

Primary: 42A24

Secondary: 26A24

Keywords: Cesaro summability , Riemann generalized symmetric derivative , Riemann summability , trigonometric series

Abstract

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