ON SOME INEQUALITIES WITH POWER-EXPONENTIAL FUNCTIONS VASILE CÎRTOAJE

... ON MULTIPLE HARDY-HILBERT INTEGRAL INEQUALITIES WITH SOME PARAMETERS HONG YONG Received 19 April 2006; Revised 30 May 2006; Accepted 5 June 2006 By introducing some parameters ... (2003), no. 6, 743–750. Hong Yong: Department of Mathematics, Guangdong University of Business Study, Guangzhou 510320, China E-mail address: hongyong59@sohu.com Hong Yong 5 hence, we have  R n + x (n−β...

Ngày tải lên: 22/06/2014, 22:20

... using function overloading. Consider the following pair of DisplayRoundedDecimal() functions: // FunctionsWithDefaultArguments - provide variations of the same // function, some with default ... member functions via class The distinction between a class (static) function and a member (nonstatic) function, or method, mirrors the distinction between a class (static) variable and a memb...

Ngày tải lên: 04/10/2013, 21:20

... : 1 33 r rrr xyyzzxxyz + ++++  ≤   Chapter 3: Inequalities With Right Convex And Left Concave Functions 3.4 Applications 1. Cho 12 ,, ,0 n xxx ≥ thỏa 12 n xxxn +++= ... ( ) ( ) ( ) 2 abbcca +++= . CMR : ( ) ( ) ( ) 222 1 abcbcacab +++≤ Chapter 7: Symmetric Inequalities With Three Variables Involving Fractions ( ) ( ) ( ) 1 222222 abcpbcbcapcacabp...

Ngày tải lên: 19/06/2014, 14:42

... 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 inequalities and applications ... forms with one variable into the ones with two variables but also extended the constant ‘c’ out of integral into a function ‘a(m, n)’. These inequalities will play an important part in...

Ngày tải lên: 20/06/2014, 22:20

... The University of Hong Kong, Pokfulam Road, Hong Kong Zhao and Cheung Journal of Inequalities and Applications 2011, 2011:7 http://www.journalofinequalitiesandapplications.com/content/2011/1/7 Page ... Journal of Inequalities and Applications 2011, 2011:7 http://www.journalofinequalitiesandapplications.com/content/2011/1/7 Page 4 of 8 Authors’ contributions C-JZ and W-SC jointly contribut...

Ngày tải lên: 21/06/2014, 03:20

... integral inequalities with two dependent limits is established. In application, the boundedness of the solutions of nonlinear differential equations is presented. 1. Introduction Integral inequalities ... inequalities with two dependent limits. Section 2 includes some new integral inequalities with two dependent lim- its and relevant proofs. Subsequently, Section 3 includes an...

Ngày tải lên: 21/06/2014, 07:20

... function of a set E and C ∞ c Ω denotes the class of compactly supported C ∞ -functions on Ω. We also denote by C c Ω the class of compactly supported continuous functions on Ω. Definition 1.3. ...  X 2 Ω with another constant C, or equivalently, i if inequality 1.7 fails in XΩ  X 2 Ω with any constant C, then so does 1.7 in XΩ  X 1 Ω with any constant C. F...

Ngày tải lên: 21/06/2014, 11:20

... Mathias, Inequalities on singular values of block triangular matrices,” SIAM Journal on Matrix Analysis and Applications, vol. 24, no. 1, pp. 126–131, 2002. Journal of Inequalities and Applications ... B 21 B −1 11 B 12  1/2 ⎤ ⎦ , Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2010, Article ID 201486, 8 pages doi:10.1155/2010/201486 Research Article...

Ngày tải lên: 21/06/2014, 18:20

... to investigate some new dynamic inequalities on time scales. We establish some new dynamic inequalities; the results unify and extend some continuous inequalities and their corresponding discrete ... Corporation Journal of Inequalities and Applications Volume 2010, Article ID 464976, 13 pages doi:10.1155/2010/464976 Research Article On Some Integral Inequalities on Time...

Ngày tải lên: 21/06/2014, 18:20

... y x  ∈ z 0  C}. By condition ii, Tx is nonempty. And by condition i, Tx is convex. Thus, by Theorem 3.6, the conclusion holds. Remark 3.9. By Definition 2.7, the condition i can be replaced ... convex topological vector space, let Z be a topological vector space with a closed convex pointed cone C,intC /  ∅,letX be a nonempty compact and convex subset of E, let f : X × X → Z be...

Ngày tải lên: 21/06/2014, 20:20