共查询到20条相似文献,搜索用时 46 毫秒
1.
Ch. A. Charalambides 《Annals of the Institute of Statistical Mathematics》1991,43(1):197-206
The distribution with probability function p
k(n, , ) = A
n, k(, )/(+ )[p], k = 0, 1, 2, ..., n, where the parameters and are positive real numbers, A
n, k
(, ) is the generalized Eulerian number and ( + )[n] = ( + )( + +1) ... ( + +n – 1), introduced and discussed by Janardan (1988, Ann. Inst. Statist. Math., 40, 439–450), is further studied. The probability generating function of the generalized Eulerian distribution is expressed by a generalized Eulerian polynomial which, when expanded suitably, provides the factorial moments in closed form in terms of non-central Stirling numbers. Further, it is shown that the generalized Eulerian distribution is unimodal and asymptotically normal. 相似文献
2.
Let
n
be n-dimensional Euclidean space, and let : [0, L]
n
and : [0, L]
n
be closed rectifiable arcs in
n
of the same total length L which are parametrized via their arc length. is said to be a chord-stretched version of if for each 0s tL, |(t)–(s)| |(t)–(s)|. is said to be convex if is simple and if ([0, L]) is the frontier of some plane convex set. Individual work by Professors G. Choquet and G. T. Sallee demonstrated that if were simple then there existed a convex chord-stretched version of . This result led Professor Yang Lu to conjecture that if were convex and were a chord-stretched version of then and would be congruent, i.e. any chord-stretching map of a convex arc is an isometry. Professor Yang Lu has proved this conjecture in the case where and are C
2 curves. In this paper we prove the conjecture in general. 相似文献
3.
Adams Peter Bryant Darryn El-Zanati Saad I. Gavlas Heather 《Graphs and Combinatorics》2003,19(3):289-296
In this paper, we show that K10n can be factored into C5-factors and 1-factors for all non-negative integers and satisfying 2+=10n–1.Research partially supported by an NSF-AWM Mentoring Travel Grant 相似文献
4.
S. V. Solov'ev 《Journal of Mathematical Sciences》1982,20(4):2367-2369
We consider the (&, )-fragment of the intuitionistic propositional calculus. It is proved that under the standard transformation of a Gentzen derivation into a natural derivation(), the length of (())22·length(
). There is constructed a sequence of Gentzen derivations of length i, for which the length of ((
i))21/3·length(i), which shows that the upper bound obtained is not too weak.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 88, pp. 192–196, 1979. 相似文献
5.
Shigeyoshi Owa 《Georgian Mathematical Journal》1995,2(5):535-545
Two integral operatorsP
andQ
for analytic functions in the open unit disk are introduced. The object of the present paper is to derive some properties of integral operatorsP
andQ
. 相似文献
6.
Yuan-Wei Qi 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1994,45(6):914-932
A quasilinear equation u
-x·u/2+f(u)=0 is studied, wheref(u)=–u+u
, > 0, 0<. <1, >1 andx R
n. The equation arises from the study of blow-up self-similar solutions of the heat equation
t
=+. We prove the existence and non-existence of ground state for various combination of , and . In particular, we prove that when / < forn=1,2 or / < (n + 2) /(n – 2) forn 3 there exists no non-constant positive radial self-similar solution of the parabolic equation, but for many cases where / > (n + 2)/(n – 2) there exists an infinite number of non-constant positive radial self-similar solutions. 相似文献
7.
D. Leladze 《Georgian Mathematical Journal》1994,1(3):287-302
We have obtained an estimate, in terms of partial and mixed moduli, of the continuity of deviation of the Cesáro (C, ) means ( = (1,...,n),i , 1 > –1,
) of the sequence of rectangular partial sums ofn-multiple (n>1) conjugate trigonometric series from then-multiple truncated conjugate function. This estimate implies the result on them
-convergence (1) of (C, ) means (1 > 0,
) provided that the essential conditions are imposed on the partial moduli of continuity. Finally, it is shown that them
-convergence cannot be replaced by ordinary convergence. 相似文献
8.
M. Rosenblatt 《Probability Theory and Related Fields》1979,49(2):125-132
Summary Limit theorems with a non-Gaussian limiting distribution have been obtained, under appropriate conditions for partial sums of instantaneous nonlinear functions of stationary Gaussian sequences with long range dependence by a number of people. The normalization has typically been n
, with 1/2<<1 where n is the sample size. Here examples of limit theorems are given for quadratic functions with long range memory (not instantaneous) with a normalization n
, 0<<1/2.Research supported in part by the Office of Naval Research 相似文献
9.
V. G. Turaev 《Journal of Mathematical Sciences》1984,26(1):1682-1683
In this note we construct maps of a bouquet of circles into itself, for which the familiar lower bound for the number of fixed points in terms of the Nielsen number is extremely ineffective. Precisely, we prove the following theorem: if n 1 and if f: S1vS1-S1vS1 is a map such that the homomorphism of the fundamental group induced by it carries the canonical generators and , respectively, into 1 and (gb–1gb–1)n–1, then the Nielsen number of the map f is equal to 0, and any map homotopic to f has not less than 2n–1 fixed points.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 122, pp. 135–136, 1982. 相似文献
10.
B. B. Bhattacharyya X. Li M. Pensky G. D. Richardson 《Annals of the Institute of Statistical Mathematics》2000,52(1):71-83
The limiting distribution of the normalized periodogram ordinate is used to test for unit roots in the first-order autoregressive model st= s-1,t+s,t-1- s-1,t-1+st. Moreover, for the sequence
n
= e
c/n
,
n
= e
d/n
of local Pitman-type alternatives, the limiting distribution of the normalized periodogram ordinate is shown to be a linear combination of two independent chi-square random variables whose coefficients depend on c and d. This result is used to tabulate the asymptotic power of a test for various values of c and d. A comparison is made between the periodogram test and a spatial domain test. 相似文献
11.
We consider linear integral equations and Urysohn equations with constant integration limits. Sufficient conditions are given for the solutions of these equations to be in Sobolev spacesW
2
(0,1), 0 2. Finite-difference schemes are constructed for approximate solution of the original equation by special averaging of the right-hand side kernel. The rate of convergence of the approximate solution to the averaged exact solution is shown to beO(h|ln h|(1/2,)+(3/2,)).Translated from Vychislitel'naya i Prikladnaya Matematika, No. 63, pp. 3–19, 1987. 相似文献
12.
K. Väänänen 《Monatshefte für Mathematik》1989,108(2-3):219-227
We shall give a further application of Hermite-Mahler polynomials to the consideration ofp-adic exponential function. An effective lower bound is obtained for max {| – |
p
,P(e
)|
p
}, where is an algebraic number satisfying ||
p
<p
–/(p–1), and 0 is ap-adic number with | |
p
depending on the degree of the polynomialPZ[y]. The bound obtained implies the transcendence ofe
if ap-adic number satisfying 0 < ||
p
<p
–/(p–1) is algebraic or can be well approximated by algebraic numbers.This work was carried out while the author was a research fellow of the Alexander von Humboldt Foundation. 相似文献
13.
The following results are obtained: If >0, 2,
[3, 4], andf is a nondecreasing (convex) function on [–1, 1] such thatE
n
(f) n
– for any n>, then E
n
(1)
(f)Cn
– (E
n
(2)
(f)Cn
–) for n>, where C=C(), En(f) is the best uniform approximation of a continuous function by polynomials of degree (n–1), and E
n
(1)
(f) (E
n
(2)
(f)) are the best monotone and convex approximations, respectively. For =2 ( [3, 4]), this result is not true.Published in Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 9, pp. 1266–1270, September, 1994. 相似文献
14.
A. A. Klunnik 《Journal of Mathematical Sciences》1992,58(5):391-395
A general approach is proposed to the interpolation of x
-analytical functions of a complex variable with an arbitrary –,+[Basis
x
-analytical functions whose imaginary pan is a polynomial in x, and y are obtained in explicit form.Translated from Vychislitel'naya i Prikladnaya Matematika, No. 58, pp. 3–9, 1986. 相似文献
15.
Dingzhu Du 《应用数学学报(英文版)》1988,4(2):122-130
We consider the polynomial levelability with respect to approximation algorithms (PLAA). A setA isPLAA if given any approximation algorithm forA and a polynomialp, there are another approximation algorithm forA and a polynomialq such that for infinitely many inputsx, acceptsx but has running time greater thanp(|x|) and acceptsx within timeq(|x|). In this paper, an algorithm is called an approximation algorithm forA if the symmetric differenceA
L() is sparse, whereL() is the set of strings recognized by. We prove that all naturalNP-complete sets arePLAA unlessP=NP and allEXP-complete sets arePLAA.This work was supported in part by the NSF under Grant DCR 83-12472 and was done while the author studied at the Department of Mathematics, University of California at Santa Barbara. The work was also supported by Chinese National Science Foundation 相似文献
16.
Summary We prove the following theorem: «Given 0<1, the (C, )-means of a sequence of i.i.d. random variables X
n converge a.s. iff E|X
n|1/<.» For 1/2<1 and 0<<1/2 this result is essentially known. We give here a proof of the case =1/2; an important tool is a theorem of Hsu and Robbins [5]. 相似文献
17.
Wilhelm Niethammer 《Numerische Mathematik》1980,34(3):271-283
Summary A nonlinear generalizationÊ
z
of Euler's series transformation is compared with the (linear) Euler-Knopp transformationE
z
and a twoparametric methodE
. It is shown how to applyE
orE
, to compute the valuef(zo) of a functionf from the power series at 0 iff is holomorphic in a half plane or in the cut plane. BothE
andE
, are superior toÊ
z
. A compact recursive algorithm is given for computingE
andE
,. 相似文献
18.
J. Löfström 《Annali di Matematica Pura ed Applicata》1982,132(1):189-214
Summary Let W
p
m
(w) be the Sobolev space of functions f such thatD
fL
p(w) for ||m. 相似文献
19.
L. I. Bausov 《Mathematical Notes》1968,4(2):612-617
Let Cn (, ) be the upper bound for deviations of periodic functions which form the Zygmund class Z,0 0<<2 from a class of positive linear operators. A study is made of the conditions under which there exists a limit
nCn(, )=C(, ). An explicit expression is given for the functions C(,).Translated from Matematicheskie Zametki, Vol. 4, No. 2, pp. 201–210, August, 1968. 相似文献
20.
A. K. Guts 《Mathematical Notes》1973,13(5):411-415
Let n be n-dimensional Lobachevskii space, and {lx:x n} be a family of lines, parallel to a linel
0, 0n (in a given direction). Let {cx:Xn} be a family of circular cones in n of opening with axes lX and vertex X. Then, iff:nn(n>2) is a bijective mapping andf(Cx)=C
f(x), it follows thatf is a motion in the space n.Translated from Matematicheskie Zametki, Vol. 13, No. 5, pp. 687–694, May, 1973. 相似文献