IJPAM: Volume 90, No. 4 (2014)

MULTILINEAR STIELTJES INTEGRALS OF
FUNCTIONS OF SEVERAL VARIABLES

A. Halilović$^1$, J. Panrike$^2$
$^{1,2}$The Royal Institute of Technology
KTH STH, Campus Haninge
Marinens v. 30, 13640 Haninge, SWEDEN


Abstract. In this paper we define and consider multilinear Stieltjes integrals for vector-valued functions defined on a closed bounded interval in \(\mathbb{R}^n\). The convergence of the Stieltjes sums is considered in the Riemann, Moore-Pollard and Henstock-Kurzweil sense.

Received: January 20, 2014

AMS Subject Classification: 46G10, 28B05

Key Words and Phrases: multilinear integral, Stieltjes integral, Henstock-Kurzweil integral, vector-valued functions, several variables

Download paper from here.


DOI: 10.12732/ijpam.v90i4.14 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 90
Issue: 4