Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

A new characterization of Cesàro-Perron integrals using Peano derivates


Author: J. A. Bergin
Journal: Trans. Amer. Math. Soc. 228 (1977), 287-305
MSC: Primary 26A39
MathSciNet review: 0435312
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The $ {Z_n}$-integrals are defined according to the method of Perron using Peano derivates. The properties of the integrals are given including the essential integration by parts theorem. The integrals are then shown to be equivalent to the Cesàro-Perron integrals of Burkill.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 26A39

Retrieve articles in all journals with MSC: 26A39


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1977-0435312-0
PII: S 0002-9947(1977)0435312-0
Keywords: Cesàro-Perron integrals, Perron integral, Peano derivatives, integration by parts, generalized derivatives
Article copyright: © Copyright 1977 American Mathematical Society