• Title/Summary/Keyword: Main Classes

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WEYL'S THEOREM FOR ISOLOID AND REGULOID OPERATORS

  • Kim, An-Hyun;Yoo, Sung-Uk
    • Communications of the Korean Mathematical Society
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    • v.14 no.1
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    • pp.179-188
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    • 1999
  • In this paper we find some classes of operators for which Weyl`s theorem holds. The main result is as follows. If T$\in$L(\ulcorner) satisfies the following: (ⅰ) Either T or T\ulcorner is reduced by each of its eigenspaces; (ⅱ) Weyl`s theorem holds for T; (ⅲ) T is isoloid, then for every polynomial p, Weyl`s theorem holds for p(T).

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CHEMOPREVENTIVE EFFECT OF GINKGO BILOBA EXTRACT: ESTROGENIC AND ANTIESTROGENIC POTENTIALS IN HUMAN BREAST CANCER CELL LINES

  • Oh, Seung-Min;Chung, Kyu-Hyuck
    • Proceedings of the Korean Society of Toxicology Conference
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    • 2001.10a
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    • pp.162-162
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    • 2001
  • Phytoestrogens produced naturally by either plants or their seeds are three main classes of phytoestrogens: isoflavone, lignan and coumestan. Phytoestrogens can have both agonist and antagonist action of estrogenic activity. It is believed that phytoestrogens with agonist and antagonist action of estrogenic activity may reduce the risk of breast cancer, in addition to may reduce the risk of osteoporesis by therapeutic agent of breast cancer.(omitted)

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SOME RESULTS ASSOCIATED WITH CERTAIN ANALYTIC AND UNIVALENT FUNCTIONS INVOLVING FRACTIONAL DERIVATIVE OPERATORS

  • Irmak, H.;Raina, R.K.
    • East Asian mathematical journal
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    • v.21 no.2
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    • pp.219-231
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    • 2005
  • This paper investigates some results (Theorems 2.1-2.3, below) concerning certain classes of analytic and univalent functions, involving the familiar fractional derivative operators. We state interesting consequences arising from the main results by mentioning the cases connected with the starlikeness, convexity, close-to-convexity and quasi-convexity of geometric function theory. Relevant connections with known results are also emphasized briefly.

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BEST APPROXIMATIONS FOR MULTIMAPS ON ABSTRACT CONVEX SPACES

  • Park, Sehie
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.1
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    • pp.165-175
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    • 2021
  • In this article we derive some best approximation theorems for multimaps in abstract convex metric spaces. We are based on generalized KKM maps due to Kassay-Kolumbán, Chang-Zhang, and studied by Park, Kim-Park, Park-Lee, and Lee. Our main results are extensions of a recent work of Mitrović-Hussain-Sen-Radenović on G-convex metric spaces to partial KKM metric spaces. We also recall known works related to single-valued maps, and introduce new partial KKM metric spaces which can be applied our new results.

MAJORIZATION PROBLEMS FOR UNIFORMLY STARLIKE FUNCTIONS BASED ON RUSCHEWEYH q-DIFFERENTIAL OPERATOR RELATED WITH EXPONENTIAL FUNCTION

  • Vijaya, K.;Murugusundaramoorthy, G.;Cho, N.E.
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.1
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    • pp.71-81
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    • 2021
  • The main object of this present paper is to study some majorization problems for certain classes of analytic functions defined by means of q-calculus operator associated with exponential function.

NEW BANACH SPACES DEFINED BY THE DOMAIN OF RIESZ-FIBONACCI MATRIX

  • Alp, Pinar Zengin;Kara, Emrah Evren
    • Korean Journal of Mathematics
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    • v.29 no.4
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    • pp.665-677
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    • 2021
  • The main object of this study is to introduce the spaces $c_0({\hat{F}^q)$ and $c({\hat{F}^q)$ derived by the matrix ${\hat{F}^q$ which is the multiplication of Riesz matrix and Fibonacci matrix. Moreover, we find the 𝛼-, 𝛽-, 𝛾- duals of these spaces and give the characterization of matrix classes (${\Lambda}({\hat{F}^q)$, Ω) and (Ω, ${\Lambda}({\hat{F}^q)$) for 𝚲 ∈ {c0, c} and Ω ∈ {ℓ1, c0, c, ℓ}.

SUBORDINATION RESULTS FOR CERTAIN CLASSES OF MULTIVALENTLY ANALYTIC FUNCTIONS WITH A CONVOLUTION STRUCTURE

  • Prajapat, J.K.;Raina, R.K.
    • East Asian mathematical journal
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    • v.25 no.2
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    • pp.127-140
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    • 2009
  • In this paper a general class of analytic functions involving a convolution structure is introduced. Among the results investigated are the various results depicting useful properties and characteristics of this function class by employing the techniques of differential subordination. Relevances of the main results with some known results are also mentioned briefly.

INTRODUCTION TO MODELS OF OPINION DYNAMICS AND THEIR EXAMPLES

  • Sung-hwan Kim;Ji Eun Kim
    • East Asian mathematical journal
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    • v.40 no.3
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    • pp.341-353
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    • 2024
  • This paper aims to provide a general review of Opinion Dynamics (OD) and its related models, along with application examples for special agents. We will discuss special classes of social actors, such as informed actors, opponents, and extremists, in the context of opinion dynamics. Our main objective is to determine the extent to which opinion dynamics, as a mathematical sociology, relates to social reality. To achieve this, we present key elements of mathematical sociology in Opinion Dynamics, which we then apply to real socioeconomic phenomena using modeling assumptions and mathematical formulations.

Mapping Distribution of Dipterocarpus in East Kalimantan, Indonesia

  • Aoyagi, Kota;Tsuyuki, Satoshi;Phua, Mui-How;Teo, Stephen
    • Journal of Forest and Environmental Science
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    • v.28 no.3
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    • pp.179-184
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    • 2012
  • Dipterocarps (Dipterocarpaceae) is a dominant tree family of tropical rainforest in Southeast Asia. Dipterocarps have been exploited for its timber and disappearing fast in East Kalimantan. In this study, we predicted the distribution of dipterocarpus, one of the main dipterocarps genera, by evaluating its habitat suitability using logistic regression analysis with specimen collection points and environmental factors from GIS data. Current distribution of dipterocarpus was generated by combining the habitat suitability classes with an updated forest cover map. Rainfall, soil type, followed by elevation was the main factors that influence the distribution of dipterocarpus in East Kalimantan. Dipterocarpus can be found in a quarter of the current forest cover, which is highly suitable as habitat of Dipterocarpus.

A Case Study on the Middle Schools with a Environment-Friendly Certification in Chungbuk Area (충북지역 중학교시설의 친환경인증 사례연구)

  • Chung, Yu-Gun;Kim, Chi-Gyo;Kim, Jeong Tai
    • KIEAE Journal
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    • v.11 no.1
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    • pp.57-62
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    • 2011
  • The study aims to analyze and evaluate the evaluation items and application methods of environment-friendly middle schools in Chungbuk area by case studies. For the study, the criteria and situations of environment-friendly schools are analyzed literally and three environment-friendly middle schools in Chungbuk area selected. The field surveys and faculty interviews are performed. As results, about 35 environment-friendly technologies are applied and 66 to 68 points are acquired in three selected schools. It is analyzed that the PV, natural interior materials, raining recycle system and sufficient green spaces are pointed out as main technologies. About 66% of respondents know the environment-friendly certification and use the environment facilities in classes. However, the unsuitable plants for interior green spaces, unskilled management of recycling facilities and the absent of student participate programs show up as main problems. Also, the active campaigns need to expand the environment-friendly school.