IJPAM: Volume 90, No. 4 (2014)
FUNCTIONS OF SEVERAL VARIABLES
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 . 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
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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