• Journal of the Korean Mathematical Society
• /
• v.45 no.6
• /
• pp.1661-1676
• /
• 2008

Norm estimates of the pre-Schwarzian derivatives are given for meromorphic functions in the outside of the unit circle. We deduce several univalence criteria for meromorphic functions from those estimates.

• Bulletin of the Korean Mathematical Society
• /
• v.50 no.5
• /
• pp.1451-1469
• /
• 2013

We present various new sharp assertions on multipliers in mixed norm, weighted Hardy and new Lizorkin-Triebel spaces of harmonic functions in higher dimension. Some results are new even in onedimensional case.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.6 no.3
• /
• pp.94-98
• /
• 1996

The main goal of this paper is to investigate some properties in close connection with the quotient fuzzy norm $ induced by a fuzzy semi-norm $ on a linear space X and the quotient map $q:X{\rightarrow]X/W, $ where W is a subspace of X.

• 제어로봇시스템학회:학술대회논문집
• /
• 1991.10a
• /
• pp.203-207
• /
• 1991

In this paper, a linear stocastic dynamic system with norm - bounded plant perpurbations and norm - bounded noise covariarice is studied. Instead of Bellman-Gronwall inequality used in previous study, Lyapunov stability theorem is used to derive stability condition. The new condition is of more compact form than the previous result.

• Journal of applied mathematics & informatics
• /
• v.7 no.3
• /
• pp.1005-1015
• /
• 2000

In the unit disc, we find a sufficient condition to bound the Bergman norm by the weighted Poisson integral where the given weighted is $\mid$t$\mid$dt.

• Communications of the Korean Mathematical Society
• /
• v.18 no.2
• /
• pp.385-392
• /
• 2003

The sum Of L - R fuzzy numbers With Unbounded Supports based on Archimedean continuous f-norm T is considered. Results are more simple than those of the case for bounded supports.

• Journal of applied mathematics & informatics
• /
• v.12 no.1_2
• /
• pp.49-57
• /
• 2003

In this paper, we give some sufficient conditions for convergence of geometric mean for T-related fuzzy numbers where T is an Archimedean t-norm under some mild restrictions. These results generalize earlier results of Hong and Lee [Fuzzy Sets and Systems 116 (2000) 263-267].

• Journal of the Chungcheong Mathematical Society
• /
• v.7 no.1
• /
• pp.97-107
• /
• 1994

This paper proposes a numerical method approximating the least squares solution of minimum norm (LSSMN) to the first kind integral equation Kf=g with a special kernel, and then some numerical experiments for this method are provided.

• East Asian mathematical journal
• /
• v.14 no.2
• /
• pp.421-427
• /
• 1998

In this paper we provide sufficient conditions which ensure the strong consistency of $L_p$-norm estimation in nonlinear regression model when the probability distribution of the errors term is symmetric about zero. The least absolute deviation and least square estimation are discussed as special cases of the proposed estimation.

• Journal of the Korean Statistical Society
• /
• v.27 no.2
• /
• pp.153-163
• /
• 1998

We investigate density estimation problem in the L$^{\infty}$ norm and show that the iii optimal minimax rates are achieved for smooth classes of weakly dependent stationary sequences. Our results are then applied to give uniform convergence rates for various problems including the Gibbs sampler.