In the article deconstruction of two texts ("Homo faber" and "Continuation our Feelings") from second part collection "At Watersheds Thought" (1917-22) by P.A. Florensky their historical philosophical analysis are made. It is shown that Florensky's late anthropology begins with criticism inability classical science knowledge XVII-XI...

In this paper the approximation of functions by linear means Fourier series in weighted variable exponent Lebesgue spaces was studied. This result applied to Faber Smirnov classes with defined on simply connected domain complex plane.

By closely following a construction by Ganelius, we use Faber rational functions to derive tight explicit bounds on Zolotarev numbers. We our results bound the singular values of matrices, including complex-valued Cauchy matrices and Vandermonde with nodes inside unit disk. construct using doubly connected conformal maps their zeros poles supply shift parameters in alternating direction implici...