On the self crossing six sided figure problem.
On the set where an approximate derivative is a derivative
On the sharpened Heisenberg-Weyl inequality.
On the Sharpness of Theorems Concerning Zero-Free Regions for Certain Sequences of Polynomials.
On the shifted QR iteration applied to companion matrices.
On the shift-window phenomenon of super-functions.
On the singular support of the distributional determinant
On the singularities of convex functions.
On the size of approximately convex sets in normed spaces
Let X be a normed space. A set A ⊆ X is approximately convexif d(ta+(1-t)b,A)≤1 for all a,b ∈ A and t ∈ [0,1]. We prove that every n-dimensional normed space contains approximately convex sets A with and , where ℋ denotes the Hausdorff distance. These estimates are reasonably sharp. For every D>0, we construct worst possible approximately convex sets in C[0,1] such that ℋ(A,Co(A))=(A)=D. Several results pertaining to the Hyers-Ulam stability theorem are also proved.
On the solution of some simple fractional differential equations.
On the space of BV-ω functions
On the speed of convergence of iteration of a function.
On the stability of chaotic functions
On the statistical and σ-cores
In [11] and [7], the concepts of σ-core and statistical core of a bounded number sequence x have been introduced and also some inequalities which are analogues of Knopp’s core theorem have been proved. In this paper, we characterize the matrices of the class and determine necessary and sufficient conditions for a matrix A to satisfy σ-core(Ax) ⊆ st-core(x) for all x ∈ m.
On the strengthened Jordan's inequality.
On the strong McShane integral of functions with values in a Banach space
The classical Bochner integral is compared with the McShane concept of integration based on Riemann type integral sums. It turns out that the Bochner integrable functions form a proper subclass of the set of functions which are McShane integrable provided the Banach space to which the values of functions belong is infinite-dimensional. The Bochner integrable functions are characterized by using gauge techniques. The situation is different in the case of finite-dimensional valued vector functions....
On the structure of Hardy–Sobolev–Maz'ya inequalities
On the structure of minimal attraction centers of recurrent trajectories of continuous maps of the interval.
On the structure of the space of continuous maps with zero topological entropy
On the Subdifferential of the Supremum of Two Convex Functions.