On optimal subspaces for Kolmogorov widths of classes of 2π-periodic analytic functions
Journal Title: Bulletin de la Société des sciences et des lettres de Łódź, Série: Recherches sur les déformations - Year 2017, Vol 0, Issue 1
Abstract
The following problem arises: to nd optimal subspaces for Kolmogorov widths of classes of convolutions with generated kernels, which may increase the oscillations.
Authors and Affiliations
Anatoly S. Serdyuk
Duality Principle for some σ-ideals of subsets of the real line / Zasada dualności dla pewnych σ- ideałów podzbiorów prostej rzeczywistej
In this note there is proved that a theorem analogous to Sierpinski-Erdös duality theorem for some σ -ideals of subsets of the real line and the family of sets of the first category on the real line is valid.
Lusin's type theorems for limitable functions / Twierdzenia typu Łuzina dla funkcji limesowalnych
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On optimal subspaces for Kolmogorov widths of classes of 2π-periodic analytic functions
The following problem arises: to nd optimal subspaces for Kolmogorov widths of classes of convolutions with generated kernels, which may increase the oscillations.
On some coeffcient inequality in the subclass of close-to-convex functions
A coefficient inequality related to the Fekete-Szegö-Goluzin problem in some subclass of close-to-convex functions is shown.
Bifurcation values of C∞ functions / Wartości bifurkacyjne funkcji klasy C∞
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