Mathematics – Classical Analysis and ODEs
Scientific paper
2008-05-23
Mathematics
Classical Analysis and ODEs
Substantial modifications to style of paper. Submitted to New York Journal of Mathematics
Scientific paper
A generalization of the definition of a one-dimensional improper integral with an infinite limit is presented. The new definition extends the range of valid integrals to include integrals which were previously considered to not be integrable. This definition is shown to preserve linearity and uniqueness. Integrals which are valid under the conventional definition have the same value under the new definition. Criteria for interchanging the order of integration and differentiation, and for interchanging the order of integration with a second integration, are determined. Examples are provided. A restriction on changing the variable of integration using integration by substitution with the new definition is demonstrated.
No associations
LandOfFree
Generalized improper integral definition for infinite limit does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Generalized improper integral definition for infinite limit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized improper integral definition for infinite limit will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-500129