Riemann summability of trigonometric series and Riemann derivatives of real functions. (English) Zbl 1447.42003

Mukhopadhyay, S. N.; Ray, S.

Real Anal. Exch. 44, No. 2, 287-304 (2019).

These considerations are a continuation of a series of results devoted to the interrelations between differentiation and summability. In this paper the authors establish relations between Riemann derivative and Riemann summability of any order. Other interesting results are also obtained.

Reviewer: Włodzimierz Łenski (Poznań)

MSC:

42A24	Summability and absolute summability of Fourier and trigonometric series
26A24	Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems

Keywords:

Riemann summability; Riemann generalized symmetric derivative; Cesaro summability; trigonometric series

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