Báo cáo toán học: "On generalized Dyck paths" doc

... t m , then the length of the sequence c is n + k. In the following we write simply a Dyck path instead of a h n -Dyck path. Remark The elements l i represent the length of a horizontal step, whereas ... “customary” Dyck path, where all lengths of hori- zontal steps are equal to 1. Remark For the set h n there are  k t 1 , t 2 , . . . , t m  n + k k  =  n + k n, t 1 , t 2 , . . . ,...

Ngày tải lên: 08/08/2014, 12:23

... directional hidden contrac- tion; approximate fixed p oint property; generalized Mizoguchi–Takahashi’s fixed point theorem; generalized Berinde–Berinde’s fixed point theorem. 1 Introduction and ... upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. On generalized weakly directional contractions and approximate fixed point property with applicati...

Ngày tải lên: 20/06/2014, 20:20

Ngày tải lên: 05/08/2014, 09:46

Ngày tải lên: 05/08/2014, 09:46

... G. References [1] S.A.Burr, P.Erd˝os, R.J.Faudree, C.C.Rousseau and R.H.Schelp, An extremal problem in generalized Ramsey theory,ArsCombin.10 (1980), 193–203. [2] S.A.Burr, P.Erd˝os, R.J.Faudree, C.C.Rousseau

Ngày tải lên: 07/08/2014, 06:20

... and k ≤ n. Take a Dyck path P ∈ D(n, k). By erasing the last up-step and the last down-step of D, we get a Dyck path P  ∈ D(n − 1, j), where j ≥ k − 1. Conversely, given a Dyck path P  ∈ D(n ... = 1 n+1  2n n  . We achieve this by proving that p(n; 1123) is equal to the number of Dyck paths of semilength n. A Dyck path of semilength n is a nonnegative path on the two-dimensional...

Ngày tải lên: 07/08/2014, 15:23

... 1 3 Generalized majorization Let d 1  · · ·  d ρ , f 1  · · ·  f ρ+l and a 1  · · ·  a l , be nonincreasing sequences of integers. Definition 2 We say that f ≺ ′ (d, a), i.e., we have a generalized ... (13), we o bta in that (19) is equivalent to (18), as wanted. Generalized majorization for the case l = 1 will be called elementary generalized majorization, and will b e denoted b...

Ngày tải lên: 08/08/2014, 12:22

... published some works on generalized convolu- tion, for instance: the generalized convolution for integral transforms Stieltjes, Hilbert and the cosine-sine transforms [12], the generalized convolution ... contradition with (24). Thus the generalized convolution (11) does not have the right unit element, and so does not have the unit element. We prove that the generalized convolution...

Ngày tải lên: 06/08/2014, 05:20

Ngày tải lên: 07/08/2014, 06:20

Ngày tải lên: 07/08/2014, 13:21