Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
03.09.1938
E-mail: ,
Keywords: approximation theory; embedding theorems; measure and integral theory; methods of summation; trigonometric and orthogonal series
Subject:
The pointwise saturation theorems for Ces?ro mens and Abel means of Fourier series have been proved. Necessary and sufficient conditions for embeddings of function classes. Hpw into Hpw* have been found. Exact order estimates of the almost everywhere approximation of functions from L2 by rectangular partial sums obtained as well as exact order estimates of partial sums of multiple orthogonal series.
Main publications:
Andrienko V. A. Rate of approximation by rectangular partial sums of double orthogonal series. // Analysis Mathematica, 1996, 22, № 4, 243–266.
Andrienko V. A., Tatarkina A. A. Voronoi summation method in the summation theory of divergent series. Voronoi impact on modern science // Kyiv. Inst. of Math. of Nat. Acad. Sci. of Ukraine, 1998. Book 1, 207–227.
