Results 151 to 157 of about 466,424 (157)

Hölder’s Inequality, Minkowski’s Inequality and Their Variants

2012
In this chapter we’ll introduce two very useful inequalities with broad practical usage: Holder’s inequality and Minkowski’s inequality. We’ll also present few variants of these inequalities. For that purpose we will firstly introduce the following theorem.
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Inequalities of Minkowski type

Real analysis exchange, 1994
Let f be a real nonnegative, nondecreasing function defined on segment a, b, and x_i are nonnegative nondecreasing functions with continuous first derivative. If p>1, then (\int_a^b (\sum_{; ; i=1}; ; ^n x_i^p(t))'f(t)dt)^{; ; 1/p}; ; \geq \sum_{; ; i=1}; ; ^n (\int_a^b (x_i^p(t))'f(t)dt)^{; ; 1/p}; ; .
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On Generalizations of Minkowski's Inequality in the Form of a Triangle Inequality

Proceedings of the London Mathematical Society, 1949
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INEQUALITIES OF MINKOWSKI'S TYPE

Real Analysis Exchange, 1994
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Hölder’s and Minkowski’s Inequalities

1993
D. S. Mitrinović, J. E. Pečarić, A. M. Fink   +2 more
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Generalizations of Minkowski's Inequality

Journal of the London Mathematical Society, 1928
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Brunn-Minkowski Inequality

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