SUMMATION OF SERIES OF POSITIVE TERMS BY CONDENSATION TRANSFORMATIONS.
Abstract
The condensation transformation, which maps series of positive terms into more conveniently summed alternating series, each term v sub j of which is itself an infinite series, is discussed with examples. It is shown that for a large class of extremely slowly convergent series (essentially those dominated by the 'logarithmic scale') the series defining the terms v sub j are more easily summed than the original and may in fact be transformed further if desired. Numerical examples reveal the power of the method. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1967
- Accession Number
- AD0657567
Entities
People
- James W. Daniel
Organizations
- University of Wisconsin–Madison