Authors: Antonio Boccuto, Beloslav Riecan, Marta Vrábelová

Kurzweil – Henstock Integral in Riesz Spaces

eBook: US $69 Special Offer (PDF + Printed Copy): US $166
Printed Copy: US $131
Library License: US $276
ISBN: 978-1-60805-405-3 (Print)
ISBN: 978-1-60805-003-1 (Online)
Year of Publication: 2012
DOI: 10.2174/97816080500311090101

Introduction

This Ebook is concerned with both the theory of the Kurzweil-Henstock integral and the basic facts on Riesz spaces. Moreover, even the so-called Šipoš integral, which has several applications in economy, is illustrated. The aim of this Ebook is two-fold. First, it can be understood as an introductory textbook to the Kurzweil-Henstock integral as well as to some algebraic structures which are important from the viewpoint of applications to integration and probability theory. Second, it discusses some possibilities of further developments including recent results and open problems.

Contributors

Author(s):
Doc. Antonio Boccuto
Dipartimento di Matematica e Informatica
Perugia
Italy


Prof Beloslav Riecan
Matej Bel UniversityBratislava
Slovakia


Doc. Marta Vrábelová
Constantine the Philosopher University
Nitra
Slovakia




Contributor(s):
Doc. Antonio Boccuto
Assistant Professor, Dipartimento di Matematica e Informatica
via Vanvitelli, 1
Perugia
I, 06123
Italy


Prof. Beloslav Riecan
Professor, Matej Bel University, Tajovského 40, SK-97401 Banská Bystrica, Slovakia, and Mathematical Institute, Slovak Academy of Science, Štefánikova 49
Bratislava
SK, 81473
Slovakia


Doc. Marta Vrábelová
Professor, Constantine the Philosopher University, Tr. A. Hlinku 1
Nitra
SK, 94974
Slovakia




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