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Function classes for double exponential integration formulas

✍ Scribed by Ken’ichiro Tanaka; Masaaki Sugihara; Kazuo Murota; Masatake Mori


Publisher
Springer-Verlag
Year
2008
Tongue
English
Weight
821 KB
Volume
111
Category
Article
ISSN
0029-599X

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📜 SIMILAR VOLUMES


A robust double exponential formula for
✍ Takuya Ooura; Masatake Mori 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 170 KB

A double exponential transformation is presented to obtain a quadrature formula for Fourier-type integrals is a slowly decaying analytic function on (0; ∞). It is an improved version of what we previously proposed in 1991. The transformation x = (t) is such that it maps the interval (0; ∞) onto (-∞

Limit formulas for q-exponential functio
✍ Don Rawlings 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 240 KB

q-Analogues are given for the limit formulas e'=lim,+,(l -t/n)-' and e'=lim,,, (1 + t/n)'. The q-extension of the first identity is applied in proving that the probability of a q-random mapping having no fixed points approaches the reciprocal of a q-analogue of the real number e.