• Title/Summary/Keyword: Main Classes

Search Result 621, Processing Time 0.026 seconds

FEKETE-SZEGÖ PROBLEM FOR SUBCLASSES OF STARLIKE FUNCTIONS WITH RESPECT TO SYMMETRIC POINTS

  • Shanmugam, T.N.;Ramachandram, C.;Ravichandran, V.
    • Bulletin of the Korean Mathematical Society
    • /
    • v.43 no.3
    • /
    • pp.589-598
    • /
    • 2006
  • In the present investigation, sharp upper bounds of $|a3-{\mu}a^2_2|$ for functions $f(z)=z+a_2z^2+a_3z^3+...$ belonging to certain subclasses of starlike and convex functions with respect to symmetric points are obtained. Also certain applications of the main results for subclasses of functions defined by convolution with a normalized analytic function are given. In particular, Fekete-Szego inequalities for certain classes of functions defined through fractional derivatives are obtained.

Study on the Yo Bae Byoung Hoo of the Je Bung Won Hu Ron (제병원후론ㆍ요배병제후에 대한 연구)

  • An Min Sik;Jeong Heon Young
    • Journal of Physiology & Pathology in Korean Medicine
    • /
    • v.17 no.3
    • /
    • pp.624-628
    • /
    • 2003
  • JebyeongwonhuronㆍYobaebyeonjehu is well organized and detailed is stated of classification and cause, mechanism of lumbago. That is divided into nine classes according to cause and symptoms of lumbago and described those respectively. Although there is some different, classification of lumbago after ages is based on this method in the main. The outbreak mechanism of lumbago can be stated that wicked germ invade into the body in condition that spirit and energy, especially the kidney energy is poor through various reason. That is stressed on interior factors. In the relation to organs, it is inferred that outbreak of lumbago have connection with the kidney deeply.

Indentification of continuous systems in the presence of input-output measurement noises

  • Yang, Zi-Jiang;Sagara, Setsuo;Wada, Kiyoshi
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1990.10b
    • /
    • pp.1222-1227
    • /
    • 1990
  • The problem of identification of continuous systems is considered when both the discrete input and output measurements are contaminated by white noises. Using a predesigned digital low-pass filter, a discrete-time estimation model is constructed easily without direct approximations of system signal derivatives from sampled data. If the pass-band of the filter is designed so that it includes the main frequencies of both the system input and output signals in some range, the noise effects are sufficiently reduced, accurate estimates can be obtained by least squares(LS) algorithm in the presence of low measurement noises. Two classes of filters(infinite impulse response(IIR) filter and finite impulse response(FIR) filter) are employed. The former requires less computational burden and memory than the latter while the latter is suitable for the bias compensated least squares(BCLS) method, which compensates the bias of the LS estimate by the estimates of the input-output noise variances and thus yields unbiased estimates in the presence of high noises.

  • PDF

Review on Cellulose acetate as a Packaging Materials (셀룰로오스 아세테이트 포장소재의 이용 및 고찰)

  • Lee, Ji-Yoon;Jang, Si-Hun;Park, Su-Il
    • KOREAN JOURNAL OF PACKAGING SCIENCE & TECHNOLOGY
    • /
    • v.16 no.1
    • /
    • pp.19-25
    • /
    • 2010
  • It is becoming increasingly important to utilize alternative raw materials for plastic industries other than petrochemical-based plastics. Cellulose derivatives were the bases of the original synthetic plastics. Cellulose and its derivatives, especially the widely used cellulose acetate (CA), constitute one of the main classes of raw materials for production on artificial fibers, films, plastics etc. CA is one of the well known polymers produced from naturally available plant substance. Many researches have focused on the isolation of cellulose from the plant cells to use them as cellulose derivatives and composite materials. Chemical and mechanical treatments provide changes on the molecular structures influencing the fundamental properties of these naturally abundant polymer. The aim of this review article is to review biodegradation, synthesis, formation, and utilization of cellulose esters, especially di-acetate, used in packaging related researches.

  • PDF

GENERALIZED SET-VALUED MIXED NONLINEAR QUASI VARLIATIONAL INEQUALITIES

  • H, M-U
    • Journal of applied mathematics & informatics
    • /
    • v.5 no.1
    • /
    • pp.73-90
    • /
    • 1998
  • In this paper we introduce and study a number of new classes of quasi variational inequalities. using essentially the projection technique and its variant forms we prove that the gen-eralized set-valued mixed quasivariational inequalities are equivalent to the fixed point problem and the Wiener-Hopf equations(normal maps). This equivalence enables us to suggest a number of iterative algorithms solving the generalized variational inequalities. As a special case of the generalized set-valued mixed quasi variational in-equalities we obtain a class of quasi variational inequalities studied by Siddiqi Husain and Kazmi [35] but there are several inaccuracies in their formulation of the problem the statement and the proofs of the problem the statement and the proofs of their results. We have removed these inaccuracies. The correct formulation of thir results can be obtained as special cases from our main results.

THE UNIFORM CLT FOR MARTINGALE DIFFERENCE ARRAYS UNDER THE UNIFORMLY INTEGRABLE ENTROPY

  • Bae, Jong-Sig;Jun, Doo-Bae;Levental, Shlomo
    • Bulletin of the Korean Mathematical Society
    • /
    • v.47 no.1
    • /
    • pp.39-51
    • /
    • 2010
  • In this paper we consider the uniform central limit theorem for a martingale-difference array of a function-indexed stochastic process under the uniformly integrable entropy condition. We prove a maximal inequality for martingale-difference arrays of process indexed by a class of measurable functions by a method as Ziegler [19] did for triangular arrays of row wise independent process. The main tools are the Freedman inequality for the martingale-difference and a sub-Gaussian inequality based on the restricted chaining. The results of present paper generalizes those of Ziegler [19] and other results of independent problems. The results also generalizes those of Bae and Choi [3] to martingale-difference array of a function-indexed stochastic process. Finally, an application to classes of functions changing with n is given.

SUBCLASSES OF k-UNIFORMLY CONVEX AND k-STARLIKE FUNCTIONS DEFINED BY SĂLĂGEAN OPERATOR

  • Seker, Bilal;Acu, Mugur;Eker, Sevtap Sumer
    • Bulletin of the Korean Mathematical Society
    • /
    • v.48 no.1
    • /
    • pp.169-182
    • /
    • 2011
  • The main object of this paper is to introduce and investigate new subclasses of normalized analytic functions in the open unit disc $\mathbb{U}$, which generalize the familiar class of k-starlike functions. The various properties and characteristics for functions belonging to these classes derived here include (for example) coefficient inequalities, distortion theorems involving fractional calculus, extreme points, integral operators and integral means inequalities.

FOXBY EQUIVALENCE RELATIVE TO C-WEAK INJECTIVE AND C-WEAK FLAT MODULES

  • Gao, Zenghui;Zhao, Tiwei
    • Journal of the Korean Mathematical Society
    • /
    • v.54 no.5
    • /
    • pp.1457-1482
    • /
    • 2017
  • Let S and R be rings and $_SC_R$ a (faithfully) semidualizing bimodule. We introduce and study C-weak flat and C-weak injective modules as a generalization of C-flat and C-injective modules ([21]) respectively, and use them to provide additional information concerning the important Foxby equivalence between the subclasses of the Auslander class ${\mathcal{A}}_C$ (R) and that of the Bass class ${\mathcal{B}}_C$ (S). Then we study the stability of Auslander and Bass classes, which enables us to give some alternative characterizations of the modules in ${\mathcal{A}}_C$ (R) and ${\mathcal{B}}_C$ (S). Finally we consider an open question which is closely relative to the main results ([11]), and discuss the relationship between the Bass class ${\mathcal{B}}_C$(S) and the class of Gorenstein injective modules.

Cross-Validation Probabilistic Neural Network Based Face Identification

  • Lotfi, Abdelhadi;Benyettou, Abdelkader
    • Journal of Information Processing Systems
    • /
    • v.14 no.5
    • /
    • pp.1075-1086
    • /
    • 2018
  • In this paper a cross-validation algorithm for training probabilistic neural networks (PNNs) is presented in order to be applied to automatic face identification. Actually, standard PNNs perform pretty well for small and medium sized databases but they suffer from serious problems when it comes to using them with large databases like those encountered in biometrics applications. To address this issue, we proposed in this work a new training algorithm for PNNs to reduce the hidden layer's size and avoid over-fitting at the same time. The proposed training algorithm generates networks with a smaller hidden layer which contains only representative examples in the training data set. Moreover, adding new classes or samples after training does not require retraining, which is one of the main characteristics of this solution. Results presented in this work show a great improvement both in the processing speed and generalization of the proposed classifier. This improvement is mainly caused by reducing significantly the size of the hidden layer.

Molecular Species Composition of Phosphatidylcholine Isolated from Chum Salmon Meat Oil

  • Lee, Seung-Joo;Ha, Wang-Hyun;Choi, Hye-Jin;Cho, Soon-Yeong
    • Fisheries and Aquatic Sciences
    • /
    • v.13 no.3
    • /
    • pp.206-209
    • /
    • 2010
  • Chum salmon (Oncorhynchus keta) meat oil contained high amounts of eicosapentaenoic acid (EPA) and docosahexaenoic acid (DHA) compared to oils extracted from other tissues of the fish. EPA and DHA occupied more than 25% of the total fatty acids in chum salmon meat oil. The main lipid classes in the meat oil were triacylglycerides and phospholipids. The major fatty acids of the molecular species composition of phosphatidylcholine isolated from the meat oil were DHA and EPA. DHA and EPA were the major molecular species in the phosphatidylcholine of chum salmon meat oil, representing 44% and 17%, respectively.