ISSN:
1436-5081
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In Part 1 we obtained lower and upper bounds of the expressionf(M φ(x;α),M ψ(y;α))−M χ(f(x,y);α) by replacing the given sets(x)=(x 1,...,x n ),(y)=(y 1,...,y n ) by two suitably chosen sets ((u)=(u 1,...,u m ),(v)=(v 1,...,v m ), in general withm≥4. Now, in the case of upper bounds, the numberm will, under additional hypotheses, be reduced tom=3 (§ 4) and finally tom=2 (§ 5). Inequalities, complementary to the inequalities of Hölder and Minkowski and to another inequality are given as illustrations.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01319911
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