• 제목/요약/키워드: extreme points

검색결과 184건 처리시간 0.023초

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

  • Mahmood, Tahir;Naeem, Muhammad;Hussain, Saqib;Khan, Shahid;Altinkaya, Sahsene
    • 호남수학학술지
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    • 제42권3호
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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
    • 호남수학학술지
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    • 제40권3호
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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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    • 제53권3호
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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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    • 제4권
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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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격자형 한반도 최저극값온도 예측 및 Proto3를 활용한 별나팔꽃 (Ipomoea triloba)의 서식적합지 예측 (Estimation of mean annual extreme minimum temperature raster and predicting the potential distribution for Ipomoea triloba using Proto3 model in the Korean peninsula)

  • 이용호;최태양;이가은;나채선;홍선희;이도훈;오영주
    • 환경생물
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    • 제37권4호
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    • pp.759-768
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    • 2019
  • 본 연구는 한반도에서 Proto3 모형을 수행하기 위하여 필요한 3가지 기후인자 지도, 1. 식물 내한성 구역, 2. 쾨펜-가이거 기후구, 3. 연누적강수량 영역에 대한 한반도 지도를 1 km 해상도로 제작하였다. Worldclim V2와 한반도 30년 평균 기상대 데이터를 이용하여 한반도 최저극값온도 격자를 제작하였으며, 이를 활용하여 한반도 식물 내한성구역 격자지도를 제작하여 Proto3에 이용하였다. 쾨펜-가이거 기후구 지도는 Beck et al. (2018)의 쾨펜-가이거 기후구 지도를 Proto3에 적합하게 변형하였으며, 연누적강수량 영역은 Worldclim V2를 활용하여 제작하였다. 제작된 Proto3 기후 인자 지도를 활용하여 외래잡초 별나팔꽃의 정착 확산 가능 지역을 예측한 결과, 남한 대부분의 지역과 북한의 황해도를 포함한 남쪽 지방까지 전체 한반도 격자의 50.7%가 정착, 확산 가능지역으로 예측되었다. 본 결과는 별나팔꽃의 위해성 평가 및 관리 체계 수립 등에 활용가능할 것으로 판단된다.

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

  • 김은영;안병석
    • 지능정보연구
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    • 제22권2호
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    • pp.1-11
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    • 2016
  • Entani and Tanaka(2007)는 불확실한 데이터를 처리하기에 적합한 구간 평가결과를 얻는 새로운 방법을 제시하였다. 무엇보다 그들의 방법은 구간 데이터를 정규화하여 redundant 데이터를 제거하는데 특징이 있다. 더 나가 정규화된 구간데이터를 활용하여 계층분석과정(AHP)에서 최종 구간 우선순위벡터를 도출한다. 이 논문에서는 구간 데이터의 정규화 목적을 달성하기 위해 구간 데이터의 꼭지점을 구하는 쉽고 간편한 휴리스틱 방법을 제시한다. 한편 간단한 검사법을 활용하여 정규화된 데이터를 활용하여 최종 구간 우선순위벡터를 도출하는 방법을 제시하고자 한다. 아울러 Entani and Tanaka(2007)가 제시한 대안간 지배관계 규명 방법을 확장한 지배관계 규명 방법을 제시하고자 한다.

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

  • 이동주;고은형
    • 대한건축학회논문집:계획계
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    • 제36권3호
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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
    • 인간식물환경학회지
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    • 제24권5호
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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.

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

  • 전하은;하경자;김혜렴
    • 대기
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    • 제33권1호
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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.