Real Analysis Exchange
- Real Anal. Exchange
- Volume 30, Number 2 (2004), 451- 494 .
An n-th order integral and its integration by parts with applications to trigonometric series.
An $n$-th order symmetric Perron type integral is defined and its properties are studied. An integration by parts formula is proved and applied to solve problems related to summable trigonometric series.
Real Anal. Exchange, Volume 30, Number 2 (2004), 451- 494 .
First available in Project Euclid: 15 October 2005
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 26A39: Denjoy and Perron integrals, other special integrals
Mukhopadhyay, S. N. An n -th order integral and its integration by parts with applications to trigonometric series. Real Anal. Exchange 30 (2004), no. 2, 451-- 494. https://projecteuclid.org/euclid.rae/1129416475