<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>In this article, we define the Riemann integral on functions R into <italic>n</italic>-dimensional real normed space and prove the linearity of this operator. As a result, the Riemann integration can be applied to the wider range. Our method refers to the [21].</p></abstract>

In this article, we define the Riemann integral on functions R into n-dimensional real normed space and prove the linearity of this operator. As a result, the Riemann integration can be applied to the wider range. Our method refers to the [21].

Riemann Integral of Functions from R into <italic>n</italic>-dimensional Real Normed Space

Faculty of Engineering, Ibaraki University, Hitachi, Japan

Institute of Informatics, University of Białystok, Sosnowa 64, 15-887 Białystok Poland

Formalized Mathematics

Riemann Integral of Functions from R into -dimensional Real Normed Space

In this article, we define the Riemann integral on functions R into n-dimensional real normed space and prove the linearity of this operator. As a result, the...

Riemann Integral of Functions from R into n-dimensional Real Normed Space

Online veröffentlicht: 12. Sept. 2012

Seitenbereich: 79 - 86

DOI: https://doi.org/10.2478/v10037-012-0011-3

This content is open access.