Titlebook: Analytic Aspects of Convexity; Gabriele Bianchi,Andrea Colesanti,Paolo Gronchi Book 2018 Springer International Publishing AG 2018 Convex

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书目名称Analytic Aspects of Convexity影响因子(影响力)




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Analytic Aspects of Convexity978-3-319-71834-7Series ISSN 2281-518X Series E-ISSN 2281-5198

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https://doi.org/10.1007/978-1-349-19849-8pectively, for polygons. These concepts of affine length are shown to be similar to their counterparts defined for smooth convex bodies in that they satisfy analogous affine isoperimetric type inequalities.

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Text and Violence in Tsvetaeva’s ). + .vol(.). for compact sets ., . and . ∈ [0, 1]. Here we will show that if a given measure satisfies an inequality like this, with a certain positive power, for the family of all Euclidean balls then it must be a constant multiple of the volume.

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Input-output analysis of relay servo systemsof the quermaßintegrals of the corresponding .-convex bodies. These bounds are obtained as consequences of a most general result for functions defined on a general probability space. Moreover, similar estimates for the integrals of powers of the elementary symmetric functions of the radii of curvatu