Titlebook: General Inequalities 5; 5th International Co Wolfgang Walter Book 1987 Birkhäuser Verlag Basel 1987 Differentialgleichung.manifold.number t

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Tauberian Theorems, Convolutions and Some Results of D.C. RussellThis paper is a comment on a paper by D.C. Russell “Tauberian-type results for convolutions of sequences” (cf. [9]). We wish to describe the relation between the results of Russell and the work of Essen on convolution inequalities (cf. [4], [5]).

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Estimation of an IntegralDifferent techniques are used to get upper and lower bounds of the integral.where 0 < λ <1, 0 < θ

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The Automorphism Extension Property,) in the middle term can be understood in four different ways (see introduction) and either the plus or the minus sign is taken. The best constants α, β are found in all cases. This is based on the determination of eigen-values of suitable Hermitean matrices.

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