A refinement of Young’s inequality
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DOI: 10.1007/s10474-017-0735-1
Abstract: We present an improved version of Young’s inequality as well as an operator inequality version of it. Our result is compared to the latest refinements. read more here.
Keywords: refinement young; young inequality; inequality;
Inequalities for generalized Euclidean operator radius via Young's inequality
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DOI: 10.1016/j.jmaa.2016.03.079
Abstract: Using a refinement of the classical Young inequality, we refine some inequalities of operators including the function ωpωp, where ωpωp is defined for p⩾1p⩾1 and operators T1,…,Tn∈B(H)T1,…,Tn∈B(H) by ωp(T1,…,Tn):=sup‖x‖=1(∑i=1n|〈Tix,x〉|p)1p. Among other things, we show that… read more here.
Keywords: young inequality; generalized euclidean; euclidean operator; inequality ... See more keywords
Refined Young Inequality and Its Application to Divergences
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DOI: 10.3390/e23050514
Abstract: We give bounds on the difference between the weighted arithmetic mean and the weighted geometric mean. These imply refined Young inequalities and the reverses of the Young inequality. We also studied some properties on the… read more here.
Keywords: young inequality; inequality application; tsallis divergence; refined young ... See more keywords
A reverse of Young inequality
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DOI: 10.7153/jmi-2019-13-04
Abstract: In this paper, we prove several multi-term refinements of reverse of Young inequality with Kantorovich constant for both real numbers and operators. Among other results, for all 0 v 1 and N ∈N , (1−v)a+vb… read more here.
Keywords: reverse young; young inequality;