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We discuss a refinement of an inequality from Information Theory using other well known inequalities. Then we consider relationships between the logarithmic mean and inequalities of the geometric-arit...
A Refinement of Hölder's Inequality and Applications
Inner product space Gram matrix Variable unit-vector Minkowski's inequality Fan Ky's inequality Hardy's inequality
2008/7/3
In this paper, it is shown that a refinement of Hölder's inequality can be established using the positive definiteness of the Gram matrix. As applications, some improvements on Minkowski's inequa...
A Refinement of Jensen's Inequality.
A Refinement of van der Corput's Inequality
Refinement van der Corput's inequality Harmonic number
2008/7/3
In this note, a refinement of van der Corput's inequality is given.
Another Refinement of Bernstein's Inequality
Bernstein's inequality Unit circle Convolution method
2008/7/3
Another Refinement of Bernstein's Inequality.