caa a22 4500 477094597 CHVBK 20180405111524.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF03322215 doi (NATIONALLICENCE)springer-10.1007/BF03322215 Rykhlov Viktor Department of Mechanics &: Mathematics, Saratov State University, ASTRAKHANSKAYA STR. 83, 410071, Saratov, Russia aut Equiconvergence Rate in Terms of General Moduli of Continuity for Differential Operators [Elektronische Daten] [Viktor Rykhlov] In this paper the ordinary nonselfadjoint differential operator L, defined by a differential expression with nonzero nonsmooth coefficient of the (n− l)-th derivative and two-point Birkhoff-regular boundary conditions, is considered. The problem of uniform equicon-vergence of the expansion of a given function in series in terms of the eigenfunctions and associated functions of L and in terms of the trigonometric system is investigated. Estimates of the equiconvergence rate in terms of moduli of continuity of the expanded function and the coefficient of the (n − l)-th derivative are obtained. Birkhäuser Verlag, Basel, 1996 Ordinary differential nonselfadjoint operator nationallicence eigenfunction and associated function expansion nationallicence uniform equiconvergence with trigonometric series nationallicence equiconvergence rate in terms of moduli of continuity nationallicence regular boundary conditions nationallicence Results in Mathematics Birkhäuser-Verlag 29/1-2(1996-03-01), 153-168 0378-6218 29:1-2<153 1996 29 25 https://doi.org/10.1007/BF03322215 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF03322215 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Rykhlov Viktor Department of Mechanics &: Mathematics, Saratov State University, ASTRAKHANSKAYA STR. 83, 410071, Saratov, Russia aut NATIONALLICENCE 773 0- Results in Mathematics Birkhäuser-Verlag 29/1-2(1996-03-01), 153-168 0378-6218 29:1-2<153 1996 29 25 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer