• Title/Summary/Keyword: extreme points

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A SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY USING MITTAG-LEFFLER FUNCTION

  • Mahmood, Tahir;Naeem, Muhammad;Hussain, Saqib;Khan, Shahid;Altinkaya, Sahsene
    • Honam Mathematical Journal
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    • v.42 no.3
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    • pp.577-590
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    • 2020
  • In this paper, new subclasses of analytic functions are proposed by using Mittag-Leffler function. Also some properties of these classes are studied in regard to coefficient inequality, distortion theorems, extreme points, radii of starlikeness and convexity and obtained numerous sharp results.

ON A NEW CLASS OF SALAGEAN-TYPE HARMONIC UNIVALENT FUNCTIONS ASSOCIATED WITH SUBORDINATION

  • Altinkaya, Sahsene;Cakmak, Serkan;Yalcin, Sibel
    • Honam Mathematical Journal
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    • v.40 no.3
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    • pp.433-446
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    • 2018
  • In this present investigation, we introduce a new class of harmonic univalent functions of the form $f=h+{\bar{g}}$ in the open unit disk ${\Delta}$. We get basic properties, like, necessary and sufficient convolution conditions, distortion bounds, compactness and extreme points for these classes of functions.

New Subclasses of Harmonic Starlike and Convex Functions

  • Porwal, Saurabh;Dixit, Kaushal Kishore
    • Kyungpook Mathematical Journal
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    • v.53 no.3
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    • pp.467-478
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    • 2013
  • The purpose of the present paper is to establish some interesting results involving coefficient conditions, extreme points, distortion bounds and covering theorems for the classes $V_H({\beta})$ and $U_H({\beta})$. Further, various inclusion relations are also obtained for these classes. We also discuss a class preserving integral operator and show that these classes are closed under convolution and convex combinations.

ON SUBCLASSES OF UNIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS

  • Owa, Shigeyoshi;Aouf, M.K.
    • East Asian mathematical journal
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    • v.4
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    • pp.57-73
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    • 1988
  • The subclasses S*($\alpha,\beta,\mu$) and C*($\alpha,\beta,\mu$) ($0\leqq\alpha<1,\;0<\beta\leqq1$ and $0\leqq\mu\leqq1$) of T the class of analytic and univalent functions of the form $$f(z)=z-\sum\limit^{\infty}_{n=2}\mid a_n\mid z^n$$ have been considered. Sharp results concerning coefficients, distortion of functions belonging to S*($\alpha,\beta,\mu$) and C*($\alpha,\beta,\mu$) are determined along with a representation formula for the functions in S*($\alpha,\beta,\mu$). Furthermore, it is shown that the classes S*($\alpha,\beta,\mu$) and C*($\alpha,\beta,\mu$) are closed under arithmetic mean and convex linear combinations. Also in this paper, we find extreme points and support points for these classes.

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Estimation of mean annual extreme minimum temperature raster and predicting the potential distribution for Ipomoea triloba using Proto3 model in the Korean peninsula (격자형 한반도 최저극값온도 예측 및 Proto3를 활용한 별나팔꽃 (Ipomoea triloba)의 서식적합지 예측)

  • Lee, Yong Ho;Choi, Tae Yang;Lee, Ga Eun;Na, Chea Sun;Hong, Sun Hee;Lee, Do-Hun;Oh, Young Ju
    • Korean Journal of Environmental Biology
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    • v.37 no.4
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    • pp.759-768
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    • 2019
  • This study was conducted to estimate the mean annual extreme minimum temperature raster and predict the potential distribution of the invasive plant, Ipomoea triloba, on the Korean peninsula. We collected annual extreme minimum temperature and mean coldest month minimum temperature data from 129 weather stations on the Korean peninsula from 1990-2019 and used this data to create a linear regression model. The min temperature of the coldest month raster from Worldclim V2 were used to estimate a 30 second spatial resolution, mean annual extreme minimum temperature raster of the Korean peninsula using a regression model. We created three climatic rasters of the Korean peninsula for use with the Proto3 species distribution model and input the estimated mean annual extreme minimum temperature raster, a Köppen-Geiger climate class raster from Beck et al. (2018), and we also used the mean annual precipitation from Worldclim V2. The potential distribution of I. triloba was estimated using the Proto3 model with 117 occurrence points. As a result, the estimated area for a potential distribution of I. triloba was found to be 50.7% (111,969 ㎢) of the Korean peninsula.

Normalizing interval data and their use in AHP (구간데이터 정규화와 계층적 분석과정에의 활용)

  • Kim, Eun Young;Ahn, Byeong Seok
    • Journal of Intelligence and Information Systems
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    • v.22 no.2
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    • pp.1-11
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    • 2016
  • Entani and Tanaka (2007) presented a new approach for obtaining interval evaluations suitable for handling uncertain data. Above all, their approach is characterized by the normalization of interval data and thus the elimination of redundant bounds. Further, interval global weights in AHP are derived by using such normalized interval data. In this paper, we present a heuristic method for finding extreme points of interval data, which basically extends the method by Entani and Tanaka (2007), and also helps to obtain normalized interval data. In the second part of this paper, we show that the solutions to the linear program for interval global weights can be obtained by a simple inspection. In the meantime, the absolute dominance proposed by the authors is extended to pairwise dominance which makes it possible to identify at least more dominated alternatives under the same information.

Fuzzy Patterns of Economic Valuating on the Architectural Aesthetic - Case Study of Applying the Fuzzy-Contingent Valuation Method to the Dongdaemoon Design Plaza - (건축미의 경제적 가치 퍼지패턴 분석)

  • Lee, Dong-Joo;Ko, Eun-Hyung
    • Journal of the Architectural Institute of Korea Planning & Design
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    • v.36 no.3
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    • pp.13-20
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    • 2020
  • The purpose of this study is to analyze the fuzzy pattern that is reflected on the inside of the value evaluator in measuring the economic value of architectural aesthetic using the fuzzy-contingent valuation method. The main results of analyzing the relationship between architectural aesthetic and fuzzy patterns by typing 307 fuzzy patterns collected from visitors at Dongdaemun Design Plaza are as follows: First, low levels of architectural aesthetic can be a primary cause of extreme refusal of payment. However, it was confirmed that the extreme refusal of payment could partially involve mentality of free-ride on public goods or mentality that would not give value to past events that are not future. Second, if the architectural aesthetic score is 77.5, the most perfect form of fuzzy pattern is formed. It is confirmed that the fuzzy form, which is the standard in the relationship between architectural aesthetic and money value, is made at 77.5 points. This means that it is most efficient to have 77.5 points of architectural aesthetic to secure balanced data by membership in the study of architectural aesthetic value measurement through fuzzy pattern. Third, according to the architectural aesthetic score, respondents can be interpreted as follows: no monetary willingness arises before or after 52.4, starts to respond to the amount before and after 65.6, severe conflict over payments around 70.6~71.7, stronger willingness to pay around 77.6, want to pay for sure around 80.0.

Plant Hardiness Zone Map in Korea and an Analysis of the Distribution of Evergreen Trees in Zone 7b

  • Suh, Jung Nam;Kang, Yun-Im;Choi, Youn Jung;Seo, Kyung Hye;Kim, Yong Hyun
    • Journal of People, Plants, and Environment
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    • v.24 no.5
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    • pp.519-527
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    • 2021
  • Background and objective: This study was conducted to establish a Plant Hardiness Zone (PHZ) map, investigate the effect of global warming on changes in PHZ, and elucidate the difference in the distribution of evergreen trees between the central and southern region within hardiness Zone 7b in Korea. Methods: Mean annual extreme minimum temperature (EMT) and related temperature fluctuation data for 40 years (1981 to 2020) in each of the meteorological observation points were extracted from the Open MET Data Portal of the Korea Meteorological Administration. Using EMT data from 60 meteorological observation points, PHZs were classified according to temperature range in the USDA Plant Hardiness Zone Map. Changes in PHZs for each decade related to the effects of global warming were analyzed. Temperature fluctuation before and after the day of EMT were analyzed for 4 areas of Seoul, Suwon, Suncheon, and Jinju falling under Zone 7b. For statistical analysis, descriptive statistics and ANOVA were performed using the IBM SPSS 22 Statistics software package. Results: Plant hardiness zones in Korea ranged from 6a to 9b. Over four decades, changes to warmer PHZ occurred in 10 areas, especially in colder ones. Based on the analysis of daily temperature fluctuation, the duration of sub-zero temperatures was at least 2 days in Seoul and Suwon, while daily maximum temperatures were above zero in Suncheon and Jinju before and after EMT day. Conclusion: It was found that the duration of sub-zero temperatures in a given area is an important factor affecting the distribution of evergreen trees in PHZ 7b.

A Study on Characteristics of Climate Variability and Changes in Weather Indexes in Busan Since 1904 (1904년 이래의 부산 기후 변동성 및 생활기상지수들의 기후변화 특성 연구)

  • Ha-Eun Jeon;Kyung-Ja Ha;Hye-Ryeom Kim
    • Atmosphere
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    • v.33 no.1
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    • pp.1-20
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    • 2023
  • Holding the longest observation data from April 1904, Busan is one of the essential points to understand the climate variability of the Korean Peninsula without missing data since implementing the modern weather observation of the South Korea. Busan is featured by coastal areas and affected by various climate factors and fluctuations. This study aims to investigate climate variability and changes in climatic variables, extremes, and several weather indexes. The statistically significant change points in daily mean rainfall intensity and temperature were found in 1964 and 1965. Based on the change point detection, 117 years were divided into two periods for daily mean rainfall intensity and temperature, respectively. In the long-term temperature analysis of Busan, the increasing trend of the daily maximum temperature during the period of 1965~2021 was larger than the daily mean temperature and the daily minimum temperature. Applying Ensemble Empirical Mode Decomposition, daily maximum temperature is largely affected by the decadal variability compared to the daily mean and minimum temperature. In addition, the trend of daily precipitation intensity from 1964~2021 shows a value of about 0.50 mm day-1, suggesting that the rainfall intensity has increased compared to the preceding period. The results in extremes analysis demonstrate that return values of both extreme temperatures and precipitation show higher values in the latter than in the former period, indicating that the intensity of the current extreme phenomenon increases. For Wet-Bulb Globe Temperature (effective humidity), increasing (decreasing) trend is significant in Busan with the second (third)-largest change among four stations.