On differentiation of integrals with respect to bases of convex sets.
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TL;DRAbstract
Differentiation of integrals of functions from the class $Lip(1,1)(I^2)$ with respect to the basis of convex sets is established. An estimate of the rate of differentiation is given. It is also shown that there exist functions in $Lip(1,1)(I^N)$, N ≥ 3, a
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Differentiation of integrals of functions from the class $Lip(1,1)(I^2)$ with respect to the basis of convex sets is established. An estimate of the rate of differentiation is given. It is also shown that there exist functions in $Lip(1,1)(I^N)$, N ≥ 3, a
Keywords
MathematicsRegular polygonBasis (linear algebra)Convex functionClass (philosophy)Pure mathematicsConvex combinationCombinatorics
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