a class of submodular functions

... multiplicatively convex Journal of Inequalities and Applications In paper 17 , Anderson et al discussed an attractive class of inequalities, which arise from the notion of harmonic convex functions ... important applications in analytic inequalities 2–7 , combinatorial optimization , isoperimetric problem for polytopes , linear regression 10 , graphs and matrices 11 , gamma and digamma functions ... Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2009, Article ID 493759, 15 pages doi:10.1155/2009/493759 Research Article Schur-Convexity for a Class of Symmetric

Ngày tải lên: 22/06/2014, 02:20

... exposition of the paper Local property of a class of m-subharmonic functions 23 References 1 Bedford, E., Taylor, B A. : A new capacity for plurisubharmonic functions Acta Math 149, ... Monge-Amp`ere equation and pluripotential theory. Mem. Amer. Math. Soc. 178, 64p (2005). 24. Sadullaev, A. S., Abullaev, B. I.: Potential theory in the class of m-subharmonic functions. Trudy Mathematicheskogo ... the cone of plurisubharmonic functions (resp. negative plurisubharmonic functions) on Ω . In [17], the authors introduced and investigated the notion of local class as follows. A class J (Ω )

Ngày tải lên: 12/10/2015, 10:37

... suitably chosen 1 and 2 . These results can be viewed as a refinement of the Jensen’s inequality for the class of functions specified above. Or they can be viewed as a generalization of a refined arithmetic ... Convex Functions, Partial Orderings, and Statistical Applications, c c vol 187 of Mathematics in Science and Engineering, Academic Press, Boston, Mass,... − 1 2 b a is a 2.13 Lemma 2.7 ... viewed as a refinement of Jensen’s inequality for a class of increasing and concave functions. Many other refinements can be found in 2. Theorem 1.1 see 1. Suppose that x k ∈ ? ?a, b and p

Ngày tải lên: 22/06/2014, 03:20

... A UNIFYING APPROACH FOR CERTAIN CLASS OF MAXIMAL FUNCTIONS AHMAD AL-SALMAN Received 16 January 2006; Revised 12 April 2006; Accepted 13 April 2006 We establish L p estimates for certain class ... may assume that P does not contain |x| d+1 as one of its terms. By dilation invari- ance, we may also assume that  |α|=d+1   a α   = 1. (3.6) 8 A unifying approach for certain class of maximal ... s>1,beahomogeneousfunctionofdegreezero on R n and satisfies (1.1). Let P : R n → R be a real-valued polynomial of degree d and let 4 A unifying approach for certain class of maximal functions

Ngày tải lên: 22/06/2014, 22:20

... Local property of a class of m-subharmonic functions and applications Le Mau Hai*, Nguyen Xuan Hong* and Vu Viet Hung** *Department of Mathematics, Hanoi National University of Education, Hanoi, ... Vietnam **Department of Mathematics, Physics and Informatics, Tay Bac University, Son La, Viet Nam E-mail: mauhai@fpt.vn, xuanhongdhsp@yahoo.com and viethungtbu@gmail.com Abstract In the paper ... Potential Anal, 34(1)(2011), 43–56 [HHQ] Le Mau Hai, Pham Hoang Hiep and Hoang Nhat Quy, Local property of the class Eχ,loc , J Math Anal Appl, 402(2013),... Ω Ω Ω and c is a constant

Ngày tải lên: 16/10/2015, 09:36

... University of Katowice, Katowice, Poland, 1985 [48] E H Yang, Q H Ma, and M C Tan, “Discrete analogues of a new class of nonlinear Volterra singular integral inequalities,” Journal of Jinan University, ... singular integral inequalities with applications to fractional differential and integral equations,” Journal of Mathematical Analysis and Applications, vol 341, no 2, pp 894–905, 2008 [21] S Deng and ... GronwallBellman-GAMidov integral inequalities and their weakly singular analogues with applications,” Abstract and Applied Analysis, vol 2014, Article ID 562691, pages, 2014 [29] T E Hull and W A

Ngày tải lên: 01/11/2022, 08:33

... Universidad del Pais Vasco, Campus of Leioa (Bizkaia), Aptdo 644-Bilbao, 48080Bilbao, Spain Full list of author information is available at the end of the article Abstract This article discusses a more ... general contractive condition for a class of extended (p ≥ 2) -cyclic self-mappings on the union of a finite number of subsets of a metric space which are allowed to have a finite number of successive ... De la Sen and Agarwal Fixed Point Theory and Applications 2011, 2011:59 http://www.fixedpointtheoryandapplications.com/content/2011/1/59 Page of 14 for some real constants a, b Ỵ R 0+ and a +

Ngày tải lên: 20/06/2014, 22:20

... studied a strong law of large numbers for the frequency of occurrence of states for Markov chains field on a Bethe tree (a particular case of tree-indexed Markov chains field and PPG-invariant random ... shizhiyan1984@126.com 1 Faculty of Science, Jiangsu University, Zhenjiang 212013, China Full list of author information is available at the end of the article Abstract In this paper, we are to establish ... of N-valued random variables with respect to mthorder nonhomogeneous Markov chains Acta Mathematica Scientia... out the design of the study and performed the analysis WP participated

Ngày tải lên: 20/06/2014, 23:20

... difference equations can be considered as the discrete analog of classical Volterra-Fredholm type integral equations, which arise in the theory of parabolic boundary value problems , the mathematical modeling ... their applications J Comupt Appl Math 202, 339–351 (2007) doi:10.1016/j.cam.2006.02.036 12 Pang, PYH, Agarwal, RP: On an... PYH, Agarwal, RP: On an integral inequality and discrete analogue J Math ... Math Anal Appl 194, 569–577 (1995) doi:10.1006/jmaa.1995.1318 13 Pachpatte, BG: On some fundamental integral inequalities and their discrete analogues J Inequal Pure Appl Math 2, 13 (2001) Article

Ngày tải lên: 21/06/2014, 00:20

... Differential and Integral Equations, vol 2, no 1, pp 91–110, 1989 Z Bai, “The method of lower and upper solutions for a bending of an elastic beam equation,” Journal of Mathematical Analysis and Applications, ... fourth-order boundary value problems,” Journal of Mathematical Analysis and Applications, vol 116, no 2, pp 415–426, 1986 R P Agarwal, “On fourth order boundary value problems arising in beam analysis,” ... Mathematics for providing research facilities The author also thanks the anonymous referees for their careful reading of the first draft of the manuscript and making many valuable suggestions Research

Ngày tải lên: 21/06/2014, 05:20

... Several sufficient conditions of exponential stabilization for this class of uncertain nonlinear systems are formulated in terms of a set of linear matrix inequalities by using quadratic Lyapunov ... ≥ to denote a positive negative, seminegative, and semipositive definite matrix P Journal of Inequalities and Applications Exponential Stabilization of a Class of Uncertain Nonlinear System This ... control, and some exponential stability criteria are established Finally, some conclusions and remarks are drawn in Section Problem Formulation and Preliminaries Consider a class of nonlinear uncertain

Ngày tải lên: 21/06/2014, 06:20

... generalize where Φp s the result in to a class of p-Laplacian-type differential equations of the form 1.9 The main idea is similar to that in We will assume that the functions F and e have some ... The idea is also to change the original problem to Hamiltonian system and then use a twist theorem of area-preserving mapping to the Pioncar´ map e The above differential equation essentially possess ... Although it is more special than ϕ, it makes no essential difference of proof and can simplify our proof greatly It is easy to see from the proof that this main nonlinearity is used to guarantee

Ngày tải lên: 21/06/2014, 07:20

... scale,” Journal of Mathematical Analysis and Applications, vol 319, no 1, pp 315–325, 2006 35 R Agarwal, M Bohner, and A Peterson, “Inequalities on time scales: a survey,” Mathematical Inequalities ... user, Boston, Mass, USA, 2001 a 32 M Bohner and A Peterson, Advances in Dynamic Equations on Time Scales, Birkhă user, Boston, Mass, a USA, 2003 33 V Lakshmikantham and A S Vatsala, “Hybrid systems ... a Class of Generalized Neural Networks with Impulses and Arbitrary Delays on Time Scales Yongkun Li, Erliang Xu, and Tianwei Zhang Department of Mathematics, Yunnan University, Kunming, Yunnan

Ngày tải lên: 21/06/2014, 07:20

... Zhao, and G Wang, Uncertainty Programs and Its Applications, TsingHua University, Beijing, Germany, 2003 12 Journal of Inequalities and Applications M J Pardo and D de la Fuente, “Design of a ... constraint violation taking account of the satisfaction degree of decision maker The basic idea of this algorithm is to adjust the three-level parameters of decision maker until a satisfactory solution ... the stochastic parameters, we introduce an appropriate combination of the mean and variance of the cost, which is to be minimized subject to some chance constraints The variance appeared in the

Ngày tải lên: 21/06/2014, 07:20

... and F1 are weaker than f1 Therefore, both Theorems 1.1 and 1.2 generalize Theorem A by relaxing conditions f1 and f2 When F n, x is subquadratic at infinity, as far as the authors are aware, there ... will obtain the critical points of I by using the Mountain Pass Theorem We recall it and a minimization theorem as follows Lemma 2.1 see 15, 17 Let E be a real Banach space and I ∈ C1 E, R satisfy ... equations by using the critical point theory in the literature; see 1–3 In general, 1.1 may be regarded as a discrete analogue of a special case of the following second-order differential equation:

Ngày tải lên: 21/06/2014, 11:20

... Regional Conference Series in Mathematics, American Mathematical Society, Washington, DC, USA, 1986 23 A Ambrosetti and P H Rabinowitz, “Dual variational methods in critical point theory and applications,” ... Boundary Value Problems ∈ ? ?a, b Lemma 2.2 Assume that uλ is a local minimizer for J? ?a, b on M? ?a, b Ω and uλ / M0 Ω Then −1 J? ?a, b uλ in H Ω Proof Our proof is almost the same as that in Brown and ... Birkhă user, Boston, Mass, USA, 1996 a 25 H Berestycki and P.-L Lions, “Nonlinear scalar field equations I Existence of a ground state,” Archive for Rational Mechanics and Analysis, vol 82, no 4,

Ngày tải lên: 21/06/2014, 11:20

... R Ma, “Nodal solutions of boundary value problems of fourth-order ordinary differential equations,” Journal of Mathematical Analysis and Applications, vol 319, no 2, pp 424–434, 2006 11 R Ma and ... elastic beam equations,” Applied Mathematics Letters, vol 17, no 2, pp 237–243, 2004 Q Yao, “Solvability of an elastic beam equation with Caratheodory function,” Mathematica Applicata, vol 17, no ... References R P Agarwal and Y M Chow, “Iterative methods for a fourth order boundary value problem,” Journal of Computational and Applied Mathematics, vol 10, no 2, pp 203–217, 1984 R Ma and H P Wu,

Ngày tải lên: 21/06/2014, 16:20

... is a redundant variable, and h (a, b) can be rewritten as h (a) = a Any given Boolean function can be changed so as to satisfy Assumption 1: after it is transformed into an appropriate canonical ... total computational time in Part B is measured because from the proof of Lemma we see that the computational complexity of Part B is dominant So the adjacency matrices to be evaluated are generated ... Controllability Test of a Class of Boolean Biological Networks Koichi Kobayashi,1 Jun-Ichi Imura,2 and Kunihiko Hiraishi1 School of Information Science, Japan Advanced Institute of Science and Technology,

Ngày tải lên: 21/06/2014, 16:20

... constant-factor approximation guarantee does not apply in this case. When scoring a summary at the sub-sentence level, submodularity naturally arises. Concept-based summarization (Filatova and Hatzivassiloglou, ... 1. 3.3 Automatic summarization evaluation Automatic evaluation of summary quality is impor- tant for the research of document summarization as it avoids the labor-intensive and potentially inconsis- tent ... summarization can be viewed as a problem of submodular function maximization. We also in this section show that many standard methods for summarization are, in fact, al- ready performing submodular function...

Ngày tải lên: 23/03/2014, 16:20

... abelian ∗ -subalgebra A of a finite von Neumann factor M is called semiregular if N (A) generates a factor, equivalently, if N (A)  ∩ M = C. Also, while maximal abelian ∗-subalgebras A with N (A)  = ... H relative to its von Neumann subalgebra B ⊂ N, then B is quasiregular in N. If in addition N is a type II 1 factor M and B = A is maximal abelian in M , then A is a Cartan subalgebra of M. Proof. ... is always a 2-cocycle, ∀R), there exists a type II 1 fac- tor with a Cartan subalgebra (A ⊂ M ) associated with it, via a group- measure space construction “ `a la” Murray-von Neumann. The association (A...

Ngày tải lên: 06/03/2014, 08:21