A C1 function which is nowhere strongly paraconvex and nowhere semiconcave
O třináctém Hilbertově problému
Obecná teorie derivování funkcí a měr na katedře matematické analýzy MFF UK
A Lipschitz function which is on a.e. line need not be generically differentiable
We construct a Lipschitz function f on X = ℝ ² such that, for each 0 ≠ v ∈ X, the function f is smooth on a.e. line parallel to v and f is Gâteaux non-differentiable at all points of X except a first category set. Consequently, the same holds if X (with dimX > 1) is an arbitrary Banach space and “a.e.” has any usual “measure sense”. This example gives an answer to a natural question concerning the author’s recent study of linearly essentially smooth functions (which generalize essentially smooth...
ISTAM 87 - Bělehrad
Fréchet differentiability, strict differentiability and subdifferentiability
Porosity, derived numbers and knot points of typical continuous functions
Smallness of sets of nondifferentiability of convex functions in non-separable Banach spaces
Cluster sets of arbitrary functions in Euclidean spaces (Preliminary communication)
A note on partial derivatives of convex functions
On approximate Dini derivates and one-sided approximate derivatives of arbitrary functions
On the differentiation of convex functions in finite and infinite dimensional spaces
On the intersection of the sets of the right and left internal approximate derivatives
On differentiation of metric projections in finite dimensional Banach spaces
Differentiability of the distance function and points of multi-valuedness of the metric projection in Banach space
On the symmetry of Dini derivates of arbitrary functions
On the points of multiplicity of monotone operators
On the points of multivaluedness of metric projections in separable Banach spaces
Poznámky k teorii integrálu
Sets of -porosity and sets of -porosity
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