Limit theorems for p Variations of stable Levy processes

... is to study the strong limit theorems for arrays of rowwise NOD random variables As an application, the Chung-type strong law of large numbers for arrays of rowwise NOD random variables is obtained ... consider the strong law of large numbers for arrays of rowwise negatively associated (NA) random variables A finite collection of random...

Ngày tải lên: 20/06/2014, 22:20

... Arunchai and Plubtieng: On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces Journal of Inequalities and Applications ... generalized forms of the Krasnoselskii theorem on fixed points for the sum A + B of a weakly-strongly continuous mapping and an asympt...

Ngày tải lên: 21/06/2014, 01:20

... “Strong convergence theorems for arbitrary stochastic sequence series,” Mathematics in Practice and Theory, vol 35, no 8, pp 229–232, 2005 Chinese 14 D H Qiu, “Strong convergence theorems for arbitrary ... limit theorems for arbitrary stochastic sequences By using Doob’s convergence theorem for martingale-difference sequence, we establish a class of new strong l...

Ngày tải lên: 21/06/2014, 07:20

... negatively dependent random variables,” Pakistan Journal of Statistics, vol 21, no 3, pp 257–264, 2005 H R Nili Sani, M Amini, and A Bozorgnia, Strong laws for weighted sums of negative dependent random ... Netherlands, 1996 M Amini, Some contribution to limit theorems for negatively dependent random variable, Ph.D thesis, 2000 V Fakoor and H A Azarnoosh, “P...

Ngày tải lên: 21/06/2014, 07:20

... Mishra, “Nonlinear hybrid contractions,” Journal of Natural & Physical Sciences, vol 5–8, pp 191–206, 1994 S A Naimpally, S L Singh, and J H M Whitfield, Coincidence theorems for hybrid contractions,” ... x, P y d y, P x 3.28 for all x, y ∈ X Then P has a unique fixed point Proof For λ ∈ 0, , define a single-valued map f : X → X as follows For each x ∈ X, let fx be a point of...

Ngày tải lên: 21/06/2014, 20:20

... 2 Fixed Point Theory and Applications S V R Naidu, Fixed points and coincidence points for multimaps with not necessarily bounded images,” Fixed Point Theory and Applications, ... Mishra, “Coincidence points for hybrid mappings, ” Rostocker Mathematisches Kolloquium, no 58, pp 67–85, 2004 S L Singh and Giniswamy, “Concidences and fixed point theorems for single valued and...

Ngày tải lên: 21/06/2014, 23:20

... proximity point Also, the obtained best proximity point is a periodic point of T with period p Moreover, if x ∈ Ai is a best proximity point in Ai , then T j x is a best proximity point in Ai j for ... sufficient conditions are given to obtain a unique best proximity point for such maps One may refer to 5, for similar types of notion of best proximity poi...

Ngày tải lên: 22/06/2014, 11:20

... sequences for asymptotically quasi-nonexpansive mappings,” Journal of Mathematical Analysis and Applications, vol 259, no 1, pp 1–7, 2001 [6] L Qihou, “Iterative sequences for asymptotically quasi-nonexpansive ... convex and bounded subset of a real uniformly convex Banach space E Let {Ti , i ∈ I } be m uniformly L-Lipschitzian asymptotically quasi-nonexpansive self-mappin...

Ngày tải lên: 22/06/2014, 18:20

... 4007–4013, 2003 [7] A Aliouche, “A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type,” Journal of Mathematical Analysis and ... Far East Journal of Mathematical Sciences, vol 4, no 2, pp 199–215, 1996 [4] G Jungck and B E Rhoades, Fixed point theorems for occasionally weakly co...

Ngày tải lên: 22/06/2014, 19:20

... 2.5 A E Kogoj and E Lanconelli Remark 2.9 The class of our stationary operators ᏸ0 also contains “parabolic”-type operators like, for example, the following “forward-backward” heat operator ... theorems for a class of hypoelliptic ultraparabolic equations,” in Geometric Analysis of PDE and Several Complex Variables, vol 368 of Contemporary Math., pp 305–312, American...

Ngày tải lên: 22/06/2014, 19:20

... equations, Pacific Journal of Mathematics 83 (1979), no 1, 187–197 [6] T Tanigawa, Oscillation and nonoscillation theorems for a class of fourth order quasilinear functional differential equations, ... 137–152 [8] T Tanigawa and W Fentao, On the existence of positive solutions for a class of even order quasilinear differential equations, Advances in Mathematical...

Ngày tải lên: 22/06/2014, 21:20

... sequences for asymptotically quasi-nonexpansive mappings,” Journal of Mathematical Analysis and Applications, vol 259, no 1, pp 1–7, 2001 [6] L Qihou, “Iterative sequences for asymptotically quasi-nonexpansive ... convex and bounded subset of a real uniformly convex Banach space E Let {Ti , i ∈ I } be m uniformly L-Lipschitzian asymptotically quasi-nonexpansive self-mappin...

Ngày tải lên: 22/06/2014, 22:20

... 2.5 A E Kogoj and E Lanconelli Remark 2.9 The class of our stationary operators ᏸ0 also contains “parabolic”-type operators like, for example, the following “forward-backward” heat operator ... theorems for a class of hypoelliptic ultraparabolic equations,” in Geometric Analysis of PDE and Several Complex Variables, vol 368 of Contemporary Math., pp 305–312, American...

Ngày tải lên: 22/06/2014, 22:20

... sample formulation to study the limit theorem for functions of marginal quantiles We mainly studied how to explore multivariate distribution using the joint distribution of marginal quantiles Limit ... theorem Proof of theorem (j) If we define a new random variable Ui (j) and let Ui (j) = F (Xi ), it is easy for us to get the distribution formation of our new defin...

Ngày tải lên: 16/10/2015, 15:39

... the help of the scaling property of stable processes we have [nθ0 ]−[nθ] P |∆n Li |p − n p/ α ❊ |L1 |p ≥ i=1 ε [n θ0 ] = P |∆n Li |p − n p/ α ❊ |L1 |p ≥ i=1 = P n n p/ α [n θ0 ] |∆n Li |p − n p/ α ... property: P |L1 |p > x = P |L1 | > x1 /p ∼ cx−α /p So the tail sum of |L1 | varies slowly with exponent −α /p and we can apply theorem 4.3 For the proof of theo...

Ngày tải lên: 13/11/2015, 04:03