24 citations · 98 across the 69 of their papers we have counts for
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Boundedness of Lebesgue constants and interpolating Faber bases
Viktoriia Bilet, Oleksiy Dovgoshey, Jürgen Prestin
We investigate some conditions under which the Lebesgue constants or Lebesgue functions are bounded for the classical Lagrange polynomial interpolation on a compact subset of $\mat…
On quasinearly subharmonic functions
O. Dovgoshey, J. Riihentaus
We recall the definition of quasinearly subharmonic functions, point out that this function class includes, among others, subharmonic functions, quasisubharmonic functions, nearly…
Unions and ideals of locally strongly porous sets
Maya Altinok, Oleksiy Dovgoshey, Mehmet Küçükaslan
For subsets of we introduce a notion of coherently porous sets as the sets for which the upper limit in the definition of porosity at a point is attained…
Two ideals connected with strong right upper porosity at a point
V. Bilet, O. Dovgoshey, J. Prestin
Let be the set of upper strongly porous at subsets of and let be the intersection of maximal ideals . Some characteristic prop…
A kind of local strong one-side porosity
O. Dovgoshey, V. Bilet
We define and study the completely strongly porous at 0 subsets of R^{+}. Several characterizations of these subsets are obtained, among them the description via an universal prope…