Authors: Antonio Boccuto, Beloslav Riecan, Marta Vrábelová

Kurzweil – Henstock Integral in Riesz Spaces

eBook: US $69 Special Offer (PDF + Printed Copy): US $153
Printed Copy: US $119
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.

Foreword

- Pp. i
Stefan Schwabik
Download Free

Preface

- Pp. ii-iii (2)
Antonio Boccuto, Beloslav Riecan, Marta Vrabelova
Download Free

Contributors

- Pp. iv
Antonio Boccuto, Beloslav Riecan, Marta Vrabelova
View Abstract

Elementary Introduction to Kurzweil-Henstock Integral

- Pp. 1-24 (24)
Antonio Boccuto, Beloslav Riecan, Marta Vrabelova
View Abstract

Elementary Theory of Riesz Spaces

- Pp. 25-41 (17)
Antonio Boccuto, Beloslav Riecan, Marta Vrabelova
View Abstract

Kurzweil - Henstock Integral with Values in Riesz Spaces

- Pp. 42-51 (10)
Antonio Boccuto, Beloslav Riecan, Marta Vrabelova
View Abstract

Double Integrals

- Pp. 52-61 (10)
Antonio Boccuto, Beloslav Riecan, Marta Vrabelova
View Abstract

Kurzweil - Henstock Integral in Topological Spaces

- Pp. 62-70 (9)
Antonio Boccuto, Beloslav Riecan, Marta Vrabelova
View Abstract

Convergence Theorems

- Pp. 71-83 (13)
Antonio Boccuto, Beloslav Riecan, Marta Vrabelova
View Abstract

Improper Integral

- Pp. 84-110 (27)
Antonio Boccuto, Beloslav Riecan, Marta Vrabelova
View Abstract

Choquet and Sipos Integrals

- Pp. 111-133 (23)
Antonio Boccuto, Beloslav Riecan, Marta Vrabelova
View Abstract

(SL)-integral

- Pp. 134-165 (32)
Antonio Boccuto, Beloslav Riecan, Marta Vrabelova
View Abstract

Pettis-type Approach

- Pp. 166-177 (12)
Antonio Boccuto, Beloslav Riecan, Marta Vrabelova
View Abstract

Applications in Multivalued Logic

- Pp. 178-186 (9)
Antonio Boccuto, Beloslav Riecan, Marta Vrabelova
View Abstract

Applications in Probability Theory

- Pp. 187-197 (11)
Antonio Boccuto, Beloslav Riecan, Marta Vrabelova
View Abstract

Integration in Metric Semigroups

- Pp. 198-212 (15)
Antonio Boccuto, Beloslav Riecan, Marta Vrabelova
View Abstract

References

- Pp. 213-223 (11)
Antonio Boccuto, Beloslav Riecan, Marta Vrabelova
View Abstract

Index

- Pp. 224-226 (3)
Antonio Boccuto, Beloslav Riecan, Marta Vrabelova
View Abstract

RELATED BOOKS

.Advanced Mathematical Applications in Data Science.
.Markov Chain Process (Theory and Cases).
.Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering.
.On Generalized Growth rates of Integer Translated Entire and Meromorphic Functions.