Young's inequality and related results on time scales
نویسندگان
چکیده
We establish the classical Young inequality on time scales as follows: ab ≤ ∫ a 0 g (x) x + ∫ b 0 (g−1)σ (y) y if g ∈ Crd ([0, c],R) is strictly increasing with c > 0 and g(0) = 0, a ∈ [0, c], b ∈ [0, g(c)]. Using this inequality, we can extend Hőlder’s inequality and Minkowski’s inequality on time scales. © 2005 Elsevier Ltd. All rights reserved. MSC: primary 26D15
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ورودعنوان ژورنال:
- Appl. Math. Lett.
دوره 18 شماره
صفحات -
تاریخ انتشار 2005