Commentationes Mathematicae Universitatis Carolinae
Cyril Lenárt
An addition to my paper: “On certain theorems of Berry and a limit theorem of Feller”
Commentationes Mathematicae Universitatis Carolinae, Vol. 8 (1967), No. 1, 115--116 Persistent URL:http://dml.cz/dmlcz/105095
Terms of use:
© Charles University in Prague, Faculty of Mathematics and Physics, 1967
Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain theseTerms of use.
This paper has been digitized, optimized for electronic delivery and stamped with digital signature within the projectDML-CZ: The Czech Digital Mathematics Libraryhttp://project.dml.cz
Commentationes Mathematicae Universitatis Carolinae 8,1 (1967)
AN ADDITION TO m PAPER: ON CERTAIN THEOREMS OP BERRY AND k LIMIT.THEOREM OP PELLER
Cyril LENXRTt KoSice
B.M. Zolotarev in a h i t h e r t i o unpublished paper [ 1J (see the abstract [2J p. 37) hae given an improved estimate of Ber- ry s constant, which occurs i n the estimates (4) aafl (10) in 13]. As a consequence, some estimates of Theorems 1 , 2 , 3 , 4 [ 3 ] can be improved. Thus we get instead of the estimate (8) in Theorem 1 [ 3] the estimate
( 8 ' ) M < 3,S01 56 ,
instead of the estimates (14) and (16) i n Theorems 2,3 13J the estimates
(14') M < 1,101 K , (16') M < 2 , r 0 ? f£*)ST<
Lastly, for the estimate of the constant 6 in Theorem 4 13) (formula (22) a)) we get
(22') A) l e i < M *8 . R e f e r e n c e s
[1] B.M* 30JI0TAPEB: HexoTopne HepaBeHCTBa reopwM BepoflTHocTeft M MX. npHiieHOHMe K yTouHeuMD. TeopeuH A,M.
JlanyHOBa ( t o be published)
[£] B.M. 3GA0TAPEB: K Bonpocy 06 oiieHice ocTaTotinoro *uieHa B Teopeue A.M. JiHnyHOBa.Teawcii MeayiyHapoA-
- 115 -
HOTO MaT.c*be8Aa,MocKBa 1966 r.-ceici.tiui 11, CTp. 36-37.
[3J C. LENXRT: On certain theorems of Berry and a l i m i t theorem of Feller• Comment.Math.Univ.Caroli- na^ 7(1966),No 4,457-459.
(Received September 30,1966)
- 116 -
