John M. Dowden

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The interpolation of a discrete set of data, on the interval [a, b], representing the functiong(x) is obtained using a local piecewise polynomial of order 3. This piecewise cubic interpolant has the following properties: monotonicity and/or convexity or turning points that are present in the data are preserved and no extraneous turning points are created.(More)
This paper suggests a novel way for measuring the similarity between sequences of symbols from alphabets of small cardinality such as DNA and RNA sequences. The approach relies on finding one-to-one mappings between these sequences and a subset of the real numbers. Gaps in nonidentical sequences are easily detected. Computational illustrations on DNA(More)
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