Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
04.04.1945
E-mail: Keywords: functions of generalized bounded variation; Fourier analysis; interpolation; approximation of functions.
Subject:
The notation of function of (m,Ф)-bounded variation is introduced. This notation contains as particulary cases different generalizations of notation of function of bounded variation which were suggested by different authors earlier. The properties of functions of this class, in particularity, behavior of Fourier series and Lagrange trigonometric interpolation of these functions are investigated.
Main publications:
Kelzon A. A. O funktsiyakh (m,F)-ogranichennoi variatsii // DAN. 1991. 321(4). 670–672.
Kelzon A. A. Tochnye otsenki koeffitsientov Fure–Lagranzha funktsii ogranichennoi variatsii // Matem. zametki. 1993. 53(6). 52–62.
Kelzon A. A. Funktsii (m,F)-ogranichennoi variatsii i skhodimost ryadov Fure // Izvestiya vuzov. Matem. 1994. 8. 29–38.
Kelzon A. A. O trigonometricheskom interpolirovanii funktsii m-garmonicheskoi ogranichennoi variatsii // Izvestiya vuzov. Matem. 1997. 10. 44–47.
Kelzon A. A. Otsenka pogreshnosti trigonometricheskogo interpolirovaniya funktsii m-garmonicheskoi ogranichennoi variatsii // Izvestiya vuzov. Matem. 2001. 1. 49–54.
