Báo cáo hóa học: " Research Article On the Distribution of the q-Euler Polynomials and the q-Genocchi Polynomials of Higher Order" docx

... which contradicts the fact that h<k. Hence the constant k in 3.1 is the best possible. Thus we complete the proof of the theorem. Journal of Inequalities and Applications 5 Setting y  tx then I 1  ... and G. P ´ olya, Inequalities, Cambridge University Press, London, UK, 1952. 2 G. H. Hardy, “Note on a theorem of Hilbert concerning series of positive terms,” P...

Ngày tải lên: 21/06/2014, 07:20

... Yang and Zhong [8–10] gave some reverse inequalities concerning some extensions of Hardy-Hilbert’s inequality (1.1). Because of the requirement of higher- dimensional harmonic analysis and higher- dimensional ... 3.3 and 3.4 in the following. In order to compress the length of the paper, the proof for Corollaries 3.3 and 3.4 are here omitted. 6 Journal of Inequa...

Ngày tải lên: 22/06/2014, 18:20

... 3.13 2 Journal of Inequalities and Applications the sum of its main diagonal entries, or, equivalently, the sum of its eigenvalues is denoted by tr A. Let A be any m × n matrix. The Frobenius ... norms ·. By the following theorem, we present an inequality f or Frobenius norm of the power of Hadamard product of two matrices. Theorem 3.1. Let A and B be n-square c...

Ngày tải lên: 21/06/2014, 18:20

... Science Foundation of China, Grant no. Y605065, Foundation of the Education Department of Zhejiang Province of China, Grant no. 20050392, partially supported by the Research Grants Council of the Hong Kong ... Cheung 2 1 Department of Information and Mathematics Sciences, College of Science, China Jiliang University, Hangzhou 310018, China 2 Department of Mathematics...

Ngày tải lên: 22/06/2014, 06:20

... Q p ,andC p will respectively denote the ring of rational integers, the field of rational numbers, the ring p-adic rational integers, the field of p-adic rational numbers, and the completion of the ... function related to the q-Bernoulli numbers and q-Bernoulli polynomials and give a new construction of these numbers and polynomials related to the second ki...

Ngày tải lên: 21/06/2014, 07:20

... scheme for finding the common element of the set of common fixed points of nonexpansive mappings, the set of solutions of an equilibrium problem, and the set of solutions of the variational inequality. ... common fixed points of nonexpansive mappings, the set of solutions of an equilibrium problem, and the solution set of the classical variational inequa...

Ngày tải lên: 21/06/2014, 23:20

... properly contained in the graph of any other monotone operator. We know that if A is a maximal monotone operator, then A −1 0 is closed and convex. Let E be a reflexive, strictly convex and smooth ... section collects some definitions and lemmas which will be used in the proofs for the main results in the next section. Some of them are known; others are not hard to derive. 1...

Ngày tải lên: 21/06/2014, 23:20

... face of talking speaker. The feature used is the histogram of the hue plane of the face pixels. The face of the speaker is first extracted from thevideo.Thehueplaneofthefaceregionofeachframe is then ... in the preposition represented by the subset. This definition of the belief function is used to formulate the soft belief functions proposed in the following sect...

Ngày tải lên: 21/06/2014, 05:20

... question whether the result of Theorem D about the case α  γ holds for ρ ∗ -mixing sequence. 2 Journal of Inequalities and Applications The notion of ρ ∗ -mixing seems to be similar to the notion ... convergence results for weighted sums of identically distributed NA random variables. 4 Journal of Inequalities and Applications Theorem 1.4. Under the conditions of Th...

Ngày tải lên: 21/06/2014, 05:20

... functional equation is near to a true solution of that functional equation, and is super superstable if every approximately solution is an exact solution of it see 14. Recently, the first and ... Modern Mathematics, chapter VI, John Wiley & Sons, New York, NY, USA, Science edition, 1940. 2 D. H. Hyers, On the stability of the linear functional equation,” Proceedings...

Ngày tải lên: 21/06/2014, 05:20