Báo cáo hóa học: " Some new identities on the twisted carlitz’s q-bernoulli numbers and q-bernstein polynomials" ppt

... consider the twisted Carlitz’s q-Bernoulli numbers using p-adic q- integral on ℤ p . From the construction of the twisted Carlitz’s q -Bernoulli numbers, we investigate some properties for the ... the twisted q-Bernoulli numbers and polynomials. Final purpose of this paper is to give some relations between the twisted Carlitz’s q-Bernoulli numbers...

Ngày tải lên: 20/06/2014, 22:20

... some incorrect properties are revised. It is pointed out that the definition concerning the q-Bernoulli polynomials and numbers is unreasonable. The purpose of this paper is to redefine the q-Bernoulli ... the q-Bernoulli polyno- mials and gave a new construction of these polynomials related to the second kind Stirling numbers and the q-Bernstein polynomial...

Ngày tải lên: 20/06/2014, 22:20

... definition concerning the q-Bernoulli polynomials and numbers is unreasonable. The purpose of this paper is to redefine the q-Bernoulli polynomials and numbers and correct its wrong properties and ... 2 On the q-Bernoulli polynomials and numbers In this section, we first recall the q-Bernoul li polynomials and numbers, then indicate the ambiguities on...

Ngày tải lên: 21/06/2014, 00:20

... x 0 )). By the condition ( 3 ), { n (d(x 0 , x 1 ))} nÎN is decreasing, it must converges to some h ≥ 0. We claim that h = 0. On the contrary, assume that h > 0. Then, by the definition of the ... it must converges to some c ≥ 0. If c > 0, then by the above inequalities, Chen Fixed Point Theory and Applications 2011, 2011:72 http://www.fixedpointtheoryandapplications...

Ngày tải lên: 20/06/2014, 22:20

... n) are nonnegative and nonde-creasing functions in each variable. Inequalities (1.1), (1.2), and (1.3) are the discrete versions of Agarwal et al. [18] and Chen et al. [19]. They not only generalized the ... Wong, JSW: On the discrete analogues of some generalizations of Gronwall’s inequality. Monatsh Math. 69, 362–367 (1964) 23. Cheung, WS, Ren, J: Discrete non-linear inequal...

Ngày tải lên: 20/06/2014, 22:20

... to prove the global existence of the solu- tions of a delay differential equation, while in the second example, we will obtain the bound of the solutions of an integral equation. For the sake ... results In the rest of the paper we denote the set of real numbers as R,andR + =[0,∞)isa subset of R. Dom(f)andIm(f) denote the definition domain and the image of f, respect...

Ngày tải lên: 21/06/2014, 01:20

... solutions for first-order nonlinear integro-differential equations with boundary value conditions. Our methods to prove the existence of solutions involve new differential inequalities and classical ... of solutions is the method of upper and low solutions. Motivated by th e ideas in the recen t works [18,19], we come up with a new approach to ensure the existence of at least...

Ngày tải lên: 21/06/2014, 02:20

... WN: On some new nonlinear discrete inequalities and their applications. J Comput Appl Math 2003, 158:407-417. 14. Meng FW, Ji DH: On some new nonlinear discrete inequalities and their applications. ... both in the first v ariable and the second variable” and “b is decreasing in the second variable” in Theorem 2.9, then Theorem 2.9 reduces to [[13], Theorem 6]. 3. App...

Ngày tải lên: 21/06/2014, 02:20

... organisation that the grammar's seman- tics requires. These categories, and the relationships among them, constitute the upper model. The upper model serves to organize the proposi- tional content ... environment places complex requirements on both the linguistic theories involved and on the theories of translation. Perhaps the most refreshing aspect of the...

Ngày tải lên: 09/03/2014, 01:20

... behaviour. Administration of the questionnaire Both samples in China and England were approached by the researchers with an information sheet, consent obtained and issued with the questionnaire. No direction was ... with providing further evidence for the construct validity of the scale (Objective 2) by testing the strength of the hypothe- sised relationships between the d...

Ngày tải lên: 18/06/2014, 22:20