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On Proinov’s bound for the quadrature error of functions having a given modulus of continuity

✍ Scribed by Knut Petras


Publisher
Springer
Year
2005
Tongue
English
Weight
190 KB
Volume
31
Category
Article
ISSN
0133-3852

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✍ Paola Favati; Grazia Lotti; Francesco Romani 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 385 KB

We consider the problem of integrating a function f : [-1, l] -+ R which has an analytic extension f to an open disk Dr of radius r and center the origin, such that If(z)] 5 1 for any z E d,. The goal of this paper is to study the minimal error among all algorithms which evaluate the integrand at t