Bulletin of the Korean Mathematical Society (B KOREAN MATH SOC )
Description
 Impact factor0.39Show impact factor historyImpact factorYear
 5year impact0.37
 Cited halflife5.40
 Immediacy index0.07
 Eigenfactor0.00
 Article influence0.20
 Other titlesBulletin of the Korean Mathematical Society, Bulletin of the Korean Mathematical Society
 ISSN10158634
 OCLC6653234
 Material typePeriodical
 Document typeJournal / Magazine / Newspaper
Publications in this journal
 Bulletin of the Korean Mathematical Society 05/2014;
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ABSTRACT: In this paper, we investigate the error estimates of a quadratic elliptic control problem with pointwise control constraints. The state and the costate variables are approximated by the order k = 1 RaviartThomas mixed finite element and the control variable is discretized by piecewise linear but discontinuous functions. Approximations of order in the norm and order h in the norm for the control variable are proved.Bulletin of the Korean Mathematical Society 01/2014; 51(1).  [Show abstract] [Hide abstract]
ABSTRACT: We prove that a semisymmetric 3dimensional gradient Ricci soliton is locally isometric to a space form , , (Gaussian soliton); or a product space , , where the potential function depends only on the nullity.Bulletin of the Korean Mathematical Society 01/2014; 51(1).  [Show abstract] [Hide abstract]
ABSTRACT: We shall show that the Riesz idempotent of every *paranormal operator T on a complex Hilbert space H with respect to each isolated point of its spectrum is selfadjoint and satisfies . Moreover, Weyl's theorem holds for *paranormal operators and more general for operators T satisfying the norm condition for all . Finally, for this more general class of operators we find a sufficient condition such that holds.Bulletin of the Korean Mathematical Society 01/2014; 51(2).  [Show abstract] [Hide abstract]
ABSTRACT: In Bae et al. [2], we have considered the uniform CLT for the martingale difference arrays under the uniformly integrable entropy. In this paper, we prove the same problem under the bracketing entropy condition. The proofs are based on Freedman inequality combined with a chaining argument that utilizes majorizing measures. The results of present paper generalize those for a sequence of stationary martingale differences. The results also generalize independent problems.Bulletin of the Korean Mathematical Society 01/2014; 51(2).  [Show abstract] [Hide abstract]
ABSTRACT: We prove that if is large and is small enough, then every approximate zero of power series equation =0 can be approximated by a true zero within a good error bound. Further, we obtain HyersUlam stability of zeros of the polynomial equation of degree n, + + + + = 0 for a given integer n > 1.Bulletin of the Korean Mathematical Society 01/2014; 51(1).  [Show abstract] [Hide abstract]
ABSTRACT: An upstream scheme based on the pseudostressvelocity mixed formulation is studied to solve convectiondominated Oseen equations. Lagrange multipliers are introduced to treat the tracefree constraint and the lowest order RaviartThomas finite element space on rectangular mesh is used. Error analysis for several quantities of interest is given. Particularly, firstorder convergence in norm for the velocity is proved. Finally, numerical experiments for various cases are presented to show the efficiency of this method.Bulletin of the Korean Mathematical Society 01/2014; 51(1).  [Show abstract] [Hide abstract]
ABSTRACT: In this paper, we prove a necessary optimality theorem for a nonsmooth optimization problem in the face of data uncertainty, which is called a robust optimization problem. Recently, the robust optimization problems have been intensively studied by many authors. Moreover, we give examples showing that the convexity of the uncertain sets and the concavity of the constraint functions are essential in the optimality theorem. We present an example illustrating that our main assumptions in the optimality theorem can be weakened.Bulletin of the Korean Mathematical Society 01/2014; 51(1).  Bulletin of the Korean Mathematical Society 01/2014;
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