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Tanner, R.I.
- Korea-Australia Rheology Journal
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- v.14 no.2
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- pp.87-90
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- 2002
The measurement of the storage and loss moduli (G' and G" respectively) of materials as functions of frequency is now commonplace and is of wide utility. Yet il is not easy to trace the history of such measurements. and so this article discusses the genesis of this important experimental technique. We find that the technique grew out of a parallel technique for dielectric measurements (ca. 1900) and was developed in the mid-1930s by Philippoff and others. Important breakthroughs due to digital circuitry have occurred only in the last 20 years or so.r so.
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Cerone, P.;Dragomir, S.S.
- East Asian mathematical journal
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- v.17 no.2
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- pp.197-215
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- 2001
A generalised Taylor series with integral remainder involving a convex combination of the end points of the interval under consideration is investigated. Perturbed generalised Taylor series are bounded in terms of Lebesgue p-norms on $[a,b]^2$ for $f_{\Delta}:[a,b]^2{\rightarrow}\mathbb{R}$ with $f_{\Delta}(t,s)=f(t)-f(s)$.
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Dragomir, S.S.;Diamond, N.T.
- East Asian mathematical journal
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- v.19 no.1
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- pp.27-39
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- 2003
Integral inequalities of Gruss type obtained via $P\acute{o}lya-Szeg\ddot{o}$ and Shisha-Mond results are given. Some applications for Taylor's generalized expansion are also provided.
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