Darboux-Stieltjes Calculus on Banach spaces

Authors

  • H. Benfriha Romanian Academy, Bucharest, Romania
  • I. Bucur Technical University of Civil Engineering, Bucharest, Romania
  • A. Nuica University of Pitesti, Romania

Keywords:

vector valued functions, Riemann-Stieltjes integrability, Darboux- Stieltjes integrability, Bochner integrability, integration by parts formula, convergence theorem

Abstract

The purpose of this paper is to extend in the vector case the study of Darboux-Stieltjes integrability as it was initiated by I. Bucur and to give some new results. Among them, we note the symmetry principle, the formula of integration by parts, the extension integrability principle, and a convergence theorem. The link with other procedures of integration is given.

Author Biography

H. Benfriha, Romanian Academy, Bucharest, Romania

Simion Stoilow Institute of Mathematics 

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Published

2013-02-01

Issue

Vol. 5(54) Special Issue (2012)

Section

MATHEMATICS