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

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0373-3149 Overview: 978-3-0348-7194-5978-3-0348-7192-1Series ISSN 0373-3149 Series E-ISSN 2296-6072

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-Designs and ,-wise Balanced Designs,f of the inequality above, first given by Kwong and Zettl in 1979, and later in 1981. Both types of proof offer an explanation of the fact that 4 is a global number for the inequality, for all intervals (a, ∞) and all weights w of the kind prescribed above.

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On a Hardy-Littlewood Type Integral Inequality with a Monotonic Weight Functionasing function on (a, ∞). The inequality is valid, with the number 4, for all complex-valued f such that f and f″ ε L. (a, ∞). In certain cases the number 4 is best possible and all cases of equality can be described..The example w(x) = x on (0, ∞) is considered in detail and it is shown the best po

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On Some Discrete Quadratic Inequalities) 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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Some Inequalities for Geometric Meanstypified by.under appropriate conditions. The products on the left are replaced, in this paper, by geometric means with more general weights, and the factors m. on both sides by factors r. for suitably small r. Some inequalities having an analogous character are first discussed, since they led the w

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