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J. D. Fanning 《Aequationes Mathematicae》1994,47(2-3):143-149
Summary We prove the following two non-existence theorems for symmetric balanced ternary designs. If 1 = 1 and 0 (mod 4) then eitherV = + 1 or 42 – + 1 is a square and (42 – + 1) divides 2 – 1. If 1 = 2 thenV = ((m + 1)/2)
2 + 2,K = (m
2 + 7)/4 and = ((m – 1)/2)2 + 1 wherem 3 (mod 4). An example belonging to the latter series withV = 18 is constructed. 相似文献
3.
w
a(x)=exp(–xa), xR, a0. , N
n
(a,p,q) — (2),
n P
nwap, CNn(a,p, q)Pnwaq. , — , {P
n}, .
This material is based upon research supported by the National Science Foundation under Grant No. DMS-84-19525, by the United States Information Agency under Senior Research Fulbright Grant No. 85-41612, and by the Hungarian Ministry of Education (first author). The work was started while the second author visited The Ohio State University between 1983 and 1985, and it was completed during the first author's visit to Hungary in 1985. 相似文献
This material is based upon research supported by the National Science Foundation under Grant No. DMS-84-19525, by the United States Information Agency under Senior Research Fulbright Grant No. 85-41612, and by the Hungarian Ministry of Education (first author). The work was started while the second author visited The Ohio State University between 1983 and 1985, and it was completed during the first author's visit to Hungary in 1985. 相似文献
4.
А. А. Соляник 《Analysis Mathematica》1986,12(1):59-75
H
P
(R
+
2
) — R
+
2
={zC: Imz>0}
p
(R) — H
p
(R
+
2
). P
k
(f,x) — ë- — ,W
k
(f,x) — — R
k,
(f,x) — f H
(R) (. §1,1)–3));
k
(, f)
p
— - . , fH
p
(R) 0<p1,kN; (1+)–1<p1, 0<<,kN. 相似文献
5.
L r 1 k/n W
p
r+1
p<) 2- f(t), f
(r)(t)
, a
. , W
p
r+1
, =1 W
L
r+1
2n- L. 相似文献
6.
n
—n-
— ƒ()L
v
(T
n
), 1
f, - -. -. 相似文献
7.
U — [0, 1] Y — . X=[1–U
1/v
/Y], U Y. 相似文献
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V. A. Belonogov 《Algebra and Logic》2005,44(1):13-24
In the representation theory of symmetric groups, for each partition of a natural number n, the partition h() of n is defined so as to obtain a certain set of zeros in the table of characters for Sn. Namely, h() is the greatest (under the lexicographic ordering ) partition among P(n) such that (g) 0. Here, is an irreducible character of Sn, indexed by a partition , and g is a conjugacy class of elements in Sn, indexed by a partition . We point out an extra set of zeros in the table that we are dealing with. For every non self-associated partition P(n), the partition f() of n is defined so that f() is greatest among the partitions of n which are opposite in sign to h() and are such that (g) 0 (Thm. 1). Also, for any self-associated partition of n > 1, we construct a partition
() P(n) such that
() is greatest among the partitions of n which are distinct from h() and are such that (g) 0 (Thm. 2).Supported by RFBR grant No. 04-01-00463 and by RFBR-BRFBR grant No. 04-01-81001.Translated from Algebra i Logika, Vol. 44, No. 1, pp. 24–43, January–February, 2005. 相似文献
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Dr. Alexander Kovačec 《Monatshefte für Mathematik》1981,92(1):19-35
We shall develop a method to prove inequalities in a unified manner. The idea is as follows: It is quite often possible to find a continuous functional :
n
, such that the left- and the right-hand side of a given inequality can be written in the form (u)(v) for suitable points,v=v(u). If one now constructs a map
n
n
, which is functional increasing (i.e. for each x
n
(which is not a fixed point of ) the inequality (x)<((x)) should hold) one specially gets the chain (u)(
u))(
2(u))...
n
(u)). Under quite general conditions one finds that the sequence {
n
(u)}
n converges tov=v(u). As a consequence one obtains the inequality (u)(v). 相似文献
14.
A. Yu. Šadrin 《Analysis Mathematica》1986,12(3):175-184
. L
p
, 0<p<, . , f, {E
n
(f)
p
}
1
p>0 .
The author expresses his thanks to S. B. Stekin for the attention he has paid to this work. 相似文献
The author expresses his thanks to S. B. Stekin for the attention he has paid to this work. 相似文献
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16.
Summary We investigate generalizations of the classical Jensen and Chebyshev inequalities. On one hand, we restrict the class of functions and on the other we enlarge the class of measures which are allowed. As an example, consider the inequality (J)(f(x) d) A (f(x) d, d d = 1. Iff is an arbitrary nonnegativeL
x
function, this holds if 0, is convex andA = 1. Iff is monotone the measure need not be positive for (J) to hold for all convex withA = 1. If has higher monotonicity, e.g., is also convex, then we get a version of (J) withA < 1 and measures that need not be positive. 相似文献
17.
() [0,1] — {(n)} — , +. , f(x) [0,1]
() , x
1
,x
2 [0, 1], (1)=(2), f(x
1
)=f(x
2
). 相似文献
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, , , . , . ,
, x(0,1),x2–j
,j=1,2,..., 2
n
. , ka
k
0 k k. , (0, 1) , , , , . , . 相似文献
20.
Wolfgang Grotz 《Monatshefte für Mathematik》1979,88(3):219-228
LetK be an algebraic number field, and for every integer K let () andd(), respectively, denote the number of relatively prime residue classes and the number of divisors of the principal ideal (). Asymptotic equalities are proved for the sums () and d
2(), where runs through certain finite sets of integers ofK. 相似文献