elementary inequality

elementary inequality
мат.
элементарное неравенство

English-Russian scientific dictionary. 2008.

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  • Young's inequality — In mathematics, the standard form of Young s inequality states that if a and b are nonnegative real numbers and p and q are positive real numbers such that 1/ p + 1/ q = 1 then we have:ab le frac{a^p}{p} + frac{b^q}{q}.Equality holds if and only… …   Wikipedia

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  • Gaussian isoperimetric inequality — The Gaussian isoperimetric inequality, proved by Boris Tsirelson and Vladimir Sudakov and independently by Christer Borell, states that among all sets of given Gaussian measure in the n dimensional Euclidean space, half spaces have the minimal… …   Wikipedia

  • MacLaurin's inequality — In mathematics, MacLaurin s inequality, named after Colin Maclaurin, is a refinement of the inequality of arithmetic and geometric means. Let a 1, a 2, ..., a n be positive real numbers, and for k = 1, 2, ..., n define the averages S k as follows …   Wikipedia

  • Erdős–Mordell inequality — In geometry, the Erdős–Mordell inequality states that for any triangle ABC and point O inside ABC , the sum of the distances from O to the sides is less than or equal to half of the sum of the distances from O to the vertices. The inequality was… …   Wikipedia

  • Remez inequality — In mathematics the Remez inequality, discovered by the Ukrainian mathematician E. J. Remez in 1936, gives a bound on the sup norms of certain polynomials, the bound being attained by the Chebyshev polynomials.The inequalityLet sigma; be an… …   Wikipedia

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  • Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia


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