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Multivalent maps with second-order modulus of continuity
Mathematical Notes, 2007The author studies multivalent maps with second-order modulus of continuity and their Lipschitz properties with respect to the Hausdorff metric. Sufficient conditions are given for such maps to admit a Lipschitz selection.
A A Vasil'Eva
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The order of magnitude of the moments of the modulus of continuity of multiparameter poisson and empirical processes [PDF]
In this note we derive the exact order of magnitude of the moments of the modulus of continuity for multiparameter Poisson and, almost as a corollary, for multivariate empirical ...
F H Ruymgaart
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Modulus of continuity of solutions of second-order elliptic equations on a plane
Mathematical Notes of the Academy of Sciences of the USSR, 1974We find the exponents in the Holder boundary condition for generalized solutions of a secondorder elliptic equation of divergent form on a plane with coefficients from L∞. The accuracy of the formula obtained is verified with an example.
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Modulus of continuity of the solution to the Dirichlet problem for a second-order parabolic equation
Mathematical Notes of the Academy of Sciences of the USSR, 1976The modulus of continuity of the solution to the Dirichlet problem is investigated for a second-order parabolic equation at a regular boundary point. A bound for the modulus of continuity is obtained in terms of the capacity. The coefficients of the equation are required to satisfy a Dini condition (uniformly).
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The estimates of approximation by using a new type of weighted modulus of continuity
Computers and Mathematics With Applications, 2007Ali Aral
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