共查询到20条相似文献,搜索用时 31 毫秒
1.
We provide several new inequalities involving λn, the median of the gamma distribution of order n+1 with parameter 1. Among others, we present sharp upper and lower bounds for the arithmetic mean of λ1,λ2,…,λn. For all integers n?1 we have
2.
We define nonselfadjoint operator algebras with generators Le1,…,Len,Lf1,…,Lfm subject to the unitary commutation relations of the form
3.
Let ?0,n be the real Clifford algebra generated by e1, e2,…, en satisfying eiej+ejei=−2δij, i, j=1,2,…, n. e0 is the unit element. Let Ω be an open set. A function f is called left generalized analytic in Ω if f satisfies the equation
where
qi <0, i=0,1,…, n. In this article, we first give the kernel function for the generalized analytic function. Further, the Hilbert boundary value problem for generalized analytic functions in ?n+1+ will be investigated. 相似文献
equation(0.1)
Lf=0,
L=q0e0∂x0+ q1e1∂x1+…+qnen∂xn,
4.
Thomas J. Laffey 《Linear algebra and its applications》2007,421(1):97-109
Let σ = (λ1, … , λn) be the spectrum of a nonnegative symmetric matrix A with the Perron eigenvalue λ1, a diagonal entry c and let τ = (μ1, … , μm) be the spectrum of a nonnegative symmetric matrix B with the Perron eigenvalue μ1. We show how to construct a nonnegative symmetric matrix C with the spectrum
(λ1+max{0,μ1-c},λ2,…,λn,μ2,…,μm). 相似文献
5.
Xiongping Dai 《Journal of Differential Equations》2011,250(9):3584-3629
Let {A1,…,AK}⊂Cd×d be arbitrary K matrices, where K and d both ?2. For any 0<Δ<∞, we denote by the set of all switching sequences u=(λ.,t.):N→{1,…,K}×R+ satisfying tj−tj−1?Δ and
6.
Yasuo Teranishi 《Discrete Mathematics》2002,257(1):183-189
7.
R.C. Baker 《Journal of Number Theory》2010,130(10):2119-2146
Let F(x1,…,xn) be a nonsingular indefinite quadratic form, n=3 or 4. For n=4, suppose the determinant of F is a square. Results are obtained on the number of solutions of
F(x1,…,xn)=0 相似文献
8.
S.W. Drury 《Linear algebra and its applications》2007,422(1):318-325
We establish the following case of the Determinantal Conjecture of Marcus [M. Marcus, Derivations, Plücker relations and the numerical range, Indiana Univ. Math. J. 22 (1973) 1137-1149] and de Oliveira [G.N. de Oliveira, Research problem: Normal matrices, Linear and Multilinear Algebra 12 (1982) 153-154]. Let A and B be unitary n × n matrices with prescribed eigenvalues a1, … , an and b1, … , bn, respectively. Then for any scalars t and s
9.
F.M. Al-Oboudi K.A. Al-Amoudi 《Journal of Mathematical Analysis and Applications》2009,354(2):412-420
Let a fractional operator (n∈N0={0,1,2,…}, 0?α<1, λ?0) be defined by
10.
Let be a function satisfying Carathéodory's conditions and (1−t)e(t)∈L1(0,1). Let ξi∈(0,1), ai∈R, i=1,…,m−2, 0<ξ1<ξ2<?<ξm−2<1 be given. This paper is concerned with the problem of existence of a C1[0,1) solution for the m-point boundary value problem
11.
F.M. Al-Oboudi K.A. Al-Amoudi 《Journal of Mathematical Analysis and Applications》2008,339(1):655-667
We introduce classes of analytic functions related to conic domains, using a new linear multiplier fractional differential operator (n∈N0={0,1,…}, 0?α<1, λ?0), which is defined as
D0f(z)=f(z), 相似文献
12.
13.
Florian Luca 《Discrete Mathematics》2007,307(13):1672-1678
In this note, we supply the details of the proof of the fact that if a1,…,an+Ω(n) are integers, then there exists a subset M⊂{1,…,n+Ω(n)} of cardinality n such that the equation
14.
Let (X1,X2,…,Xn) and (Y1,Y2,…,Yn) be gamma random vectors with common shape parameter α(0<α?1) and scale parameters (λ1,λ2,…,λn), (μ1,μ2,…,μn), respectively. Let X()=(X(1),X(2),…,X(n)), Y()=(Y(1),Y(2),…,Y(n)) be the order statistics of (X1,X2,…,Xn) and (Y1,Y2,…,Yn). Then (λ1,λ2,…,λn) majorizes (μ1,μ2,…,μn) implies that X() is stochastically larger than Y(). However if the common shape parameter α>1, we can only compare the the first- and last-order statistics. Some earlier results on stochastically comparing proportional hazard functions are shown to be special cases of our results. 相似文献
15.
Hao Pan 《Journal of Combinatorial Theory, Series A》2009,116(8):1374-1381
Let A1,…,An be finite subsets of a field F, and let
16.
Venkat Anantharam 《Discrete Mathematics》2008,308(24):6203-6209
Let EN=(e1,e2,…,eN) be a binary sequence with ei∈{+1,−1}. For 2≤k≤N, the correlation measure of order k of the sequence is defined by Mauduit and Sárközy as
17.
For the parabolic obstacle-problem-like equation
Δu−t∂u=λ+χ{u>0}−λ−χ{u<0}, 相似文献
18.
19.
Let K1,…,Kn be (infinite) non-negative matrices that define operators on a Banach sequence space. Given a function f:[0,∞)×…×[0,∞)→[0,∞) of n variables, we define a non-negative matrix and consider the inequality
20.
Thomas J. Laffey 《Linear algebra and its applications》2008,428(1):230-238
Let A be an n×n nonnegative matrix with the spectrum (λ1,λ2,…,λn) and let A1 be an m×m principal submatrix of A with the spectrum (μ1,μ2,…,μm). In this paper we present some cases where the realizability of (μ1,μ2,…,μm,ν1,ν2,…,νs) implies the realizability of (λ1,λ2,…,λn,ν1,ν2,…,νs) and consider the question whether this holds in general. In particular, we show that the list
(λ1,λ2,…,λn,-μ1,-μ2,…,-μm) 相似文献