SUMMATION OF SERIES OF POSITIVE TERMS BY CONDENSATION TRANSFORMATIONS.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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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
- Theoretical Mathematics