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Continuous sharpening of Hölder’s and Minkowski’s inequalities. (English) Zbl 1079.26011

The authors obtain some general inequalities which in special cases lead to a sharpening of Hölder’s and a reverse Hölder’s inequality in both forms: discrete and integral. Other inequalities are obtained as applications.

MSC:

26D15 Inequalities for sums, series and integrals
26A48 Monotonic functions, generalizations
39A12 Discrete version of topics in analysis
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