共查询到20条相似文献,搜索用时 15 毫秒
1.
Jesús de la Cal Javier Cárcamo 《Journal of Mathematical Analysis and Applications》2009,356(2):659-663
Using a stochastic approach, we establish a multidimensional version of the classical Hermite-Hadamard inequalities which holds for convex functions on general convex bodies. The result is closely related to the Dirichlet problem. 相似文献
2.
V. Bentkus 《Lithuanian Mathematical Journal》2008,48(2):137-157
Let S = X
1 + ⋯ + X
n
be a sum of independent random variables such that 0 ⩽ X
k
⩽ 1 for all k. Write p = E S/n and q = 1 − p. Let 0 < t < q. In this paper, we extend the Hoeffding inequality [16, Theorem 1]
, to the case where X
k
are unbounded positive random variables. Our inequalities reduce to the Hoeffding inequality if 0 ⩽ X
k
⩽ 1. Our conditions are X
k
⩾ 0 and E S < ∞. We also provide improvements comparable with the inequalities of Bentkus [5]. The independence of X
k
can be replaced by supermartingale-type assumptions. Our methods can be extended to prove counterparts of other inequalities
of Hoeffding [16] and Bentkus [5].
The research was partially supported by the Lithuanian State Science and Studies Foundation, grant No T-25/08. 相似文献
3.
Cristina Draghici 《Proceedings of the American Mathematical Society》2005,133(3):735-743
We prove a general rearrangement inequality for multiple integrals, using polarization. We introduce a special class of kernels for which the product inequality holds, and then we prove that it also holds when the product is replaced by a so-called function .
4.
5.
A Littlewood-Paley type
inequality 总被引:2,自引:0,他引:2
In this note we prove the following theorem: Let u be a
harmonic function in the unit ball
and
. Then there is a
constant C =
C(p,
n) such that
. 相似文献
6.
Hao SUN 《Frontiers of Mathematics in China》2011,6(1):155-159
This paper gives a Noether type inequality of a minimal Gorenstein 3-fold of general type whose canonical map is generically
finite. 相似文献
7.
D.E. Keenan 《Discrete Mathematics》1980,29(2):205-208
In this paper we study subsets of a finite set that intersect each other in at most one element. Each subset intersects most of the other subsets in exactly one element. The following theorem is one of our main conclusions. Let S1,… Sm be m subsets of an n-set S with |S1| ? 2 (l = 1, …,m) and |Si ∩ Sj| ? 1 (i ≠ j; i, j = 1, …, m). Suppose further that for some fixed positive integer c each Si has non-empty intersection with at least m ? c of the remaining subsets. Then there is a least positive integer M(c) depending only on c such that either m ? n or m ? M(c). 相似文献
8.
J. Genebashvili 《Georgian Mathematical Journal》1995,2(3):277-290
Necessary and sufficient conditions are found to be imposed on a pair of weights, for which a weak type two-weighted reverse inequality holds, in the case of general maximal functions defined in homogenous type spaces. 相似文献
9.
10.
A set-valued type inequality system is introduced along with two solvability questions composed of existence and perturbation, and main theorems are obtained, which include three necessary and sufficient conditions concerning the existence and a continuity property concerning the perturbation. As applications, two existence criteria with respect to a single-valued type inequality system have also been obtained. 相似文献
11.
K. Okubo 《Linear and Multilinear Algebra》2013,61(1-2):109-115
12.
In this paper we prove a rearrangement inequality that generalizes inequalities given in the book by Hardy, Littlewood and Pólya1 and by Luttinger and Friedberg.2 The inequality for an integral of a product of functions of one variable is further extended to the case of functions of several variables. 相似文献
13.
In this note, we will prove an inequality for almost plurisubharmonic functions on any K?hler-Einstein manifolds with positive
scalar curvature. This inequality generalizes the stronger version of the so called Moser-Trudinger-Onofri inequality on , which was proved in [Au], and also refines a weaker inequality found by the first author in [T2].
Received: May 27, 1997 / Accepted: June 11, 1999 相似文献
14.
Mathematical Notes - A general inequality for sourcewise representable functions is proved which contains a class of inequalities for monotonic functions and, in particular, Steffensen's... 相似文献
15.
A Cauchy-Schwarz type inequality for fuzzy integrals 总被引:1,自引:0,他引:1
J. Caballero K. Sadarangani 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(10):3329-1622
In this paper we prove a Cauchy-Schwarz type inequality for fuzzy integrals. 相似文献
16.
17.
Dug Hun Hong 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(18):7296-7303
The classical Liapunov inequality shows an interesting upper bound for the Lebesgue integral of the product of two functions. This paper proposes a Liapunov type inequality for Sugeno integrals. That is, we show that holds for some constant Hs,t,r where 0<t<s<r,f:[0,1]→[0,∞) is a non-increasing concave function, and μ is the Lebesgue measure on R. We also present two interesting classes of functions for which the classical Liapunov type inequality for Sugeno integrals with Hs,t,r=1 holds. Some examples are provided to illustrate the validity of the proposed inequality. 相似文献
18.
In this paper, we prove a Chebyshev type inequality for fuzzy integrals. More precisely, we show that:where μ is the Lebesgue measure on and f,g:[0,1]→[0,∞) are two continuous and strictly monotone functions, both increasing or both decreasing. Also, some examples and applications are presented. 相似文献
19.
20.
Bujar Xh. Fejzullahu 《Journal of Mathematical Analysis and Applications》2009,352(2):880-263
Let introduce the Sobolev type inner product