SCIENTIFIC ABSTRACT ACZEL, J. - ADADUROVA YE, V.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000100310016-9
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: June 5, 2000
• Sequence Number: 16
• Publication Date: December 31, 1967
• Content Type: SCIENCEAB

.7
on the ciinrac t e r 17 -i 0 T,f
ar. e-rerpt of an ,rticle. 1).
VOI . 11, N"D.
l'or
ithl,.r Li,-t of -~'aFt Evrooean
5,
p4 C,
111 r ~,a ry

. ~,: - ~ - - ': - - ~-:.

P
Remark on a Hothod for
Elementary
Inequalities
the Elementary Solution of Extremal Proble y Means of
tki, . Demerkungen zu cinigen Mct en Zug-
C Me tt fga t-
Rc mentaren Lbsung von Extremulmos u a
tels elementaren Ungleicbungen. Acta Univ. ebr en
3 (1956), no. 2, 23-40. (Hungariah. German sum-
mar
Ere)mentary (non-cal lus) inec alities used, and'
cu
LU'U'
proved; YqjQ:jjajQ,(1q =I,q1iaTaj~;Tanditssubcases
i
(I +t)-2:l+/x and det . binary quadratic)~:O. Ile
(Pos
author follows Perelm [Entertaining geometry and'
an
Entertaining algebra, Moscow-Leningrad, 1950), Natan-
!son [Simple maximum and minimum problems, Gosu-:
,darstv, Izdat. Tehn.-Teor, Lit., Moscow-Leningrad, 1951],
band Korovkin [Inequalities, Gosudarstv. Izdat. Tehn.-
Teor. Lit., Moscow-Leningrad, 1952; MR 14, 24). The
question is raised whether elementary extremal problems;
exist that do not admit an elementary w1ution.
T. S. 11oftkin (Los Angeles, Calif.)J~

ACZEL J
"The theory of mean values. In Russian."
C,
p. 33 (Colloquium Mathematicum) Vol. 4, no. 1, 195'
Warsaw, Poland
SO: Monthly Index of East European Accessions (BEAI)
LC. Vol. 7, no. 4,
April 1958

;--ZU 0
"Problem of the theory of numbers connected with t1he
binomial distribution.
In French."
P. 56 (Colloquium IMathematicum) Vol. 4, no. 1, 1956
Warsaw., Poland
50; Monthly Index of East European Accessicns (UAI)
LC- Vol. 7, no. 4,
April 1Q58

ACZEL, J.
ACMEL, J. Introduction of natural logarlthr~.s and
exponential functions; in
memory of Tibor Szele. p. 101.
Vol. 7, no. 1/2, 1956
1
VATP~~ATIKAI LAIGK
SCIENCE
HUNGARY
So; East Furopeon Accessi-ns, Vol. 5, Vo. q, Sept. 1956

ToT III-

AC:'F-,] , J -
Theory of r.ooretric obipcts. 1. 'Elemental-Y P"00f of the
nonexictence of purp
differpritial coometric objects of class hi.-her tYan the thir(I
with a one-
dimensional sinr-le component space. II. Elementar.y
0,etermination of all pUre
different"al F-Pomeiric obIiects of first., socone, an~ third
classes havirc- one
component in a one-dirensional space. 1'n German. 1'.33".
(Acta Miathematica, Vol. 7, no. 3/h, 191'6, T,udape!~t,
llunf~Rry)
SO: Yonthly List of East Furopean Accessions (EFAI) Lf. Vol. 6,
no. 0, Sept. 1P57. Uncl,

ACZEL. J. (Debretson)
Certain general methods in the theory of functional
equations of one
variable. New apT)Iications of functional equations.
Usp.mat.nauk 11
no.3:3-68 My-Jo 156. OUM 9:9)
(Functional equations)

O'l U
-Card 1/1.
Aczil,,J,; et Remarques algibriques sur la
tin de HQUA-w 1, 0: 1
'24mat! donn6e par N. Frkcbct 4 1
_gQq 1~. IPubl. Math. Debrecen 5 (1957) 6041"~-
on"Ing an earlier paper by AczAI fianie, Publ-Cf-'...
(1955), 33-42; MR 16, 989], the authors study the f4nc-
tional equation (1) P(s, t)P(I, is =P(s, is), valid for, 01
real s, t, 0, for finit, matrices. The solutions
roust have the form where TI(t)'is, non-.
singular, and F is a matrix whose elemetits* va
s on e 1r,
cept for ones in some of the lace th Wo diagon0j.
Tha-addW condition ,tjia~ Prs, $) hi~6 TOW 6uT.P*5- 1
rids to a siniple co dition on. H (t). If, as 4w the case of
s
poi n
probability matrices, P(s. q is defiled only for s_