• Title/Summary/Keyword: normalized k

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ON SANDWICH THEOREMS FOR CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS INVOLVING CARLSON-SHAFFER OPERATOR

  • Shanmugam, Tirunelveli Nellaiappan;Srikandan, Sivasubramanian;Frasin, Basem Aref;Kavitha, Seetharaman
    • Journal of the Korean Mathematical Society
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    • v.45 no.3
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    • pp.611-620
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    • 2008
  • The purpose of this present paper is to derive some subordination and superordination results involving Carlson-Shaffer operator for certain normalized analytic functions in the open unit disk. Relevant connections of the results, which are presented in the paper, with various known results are also considered.

Sharp Coefficient Bounds for the Quotient of Analytic Functions

  • Park, Ji Hyang;Kumar, Virendra;Cho, Nak Eun
    • Kyungpook Mathematical Journal
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    • v.58 no.2
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    • pp.231-242
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    • 2018
  • We derive sharp upper bound on the initial coefficients and Hankel determinants for normalized analytic functions belonging to a class, introduced by Silverman, defined in terms of ratio of analytic representations of convex and starlike functions. A conjecture related to the coefficients for functions in this class is posed and verified for the first five coefficients.

A Comparative Study of Induction Heating Inverter By Using Normalized Resister Parameter (표준화 된 부하 저항을 이용한 유도 가열용 Inverter 비교 연구)

  • Roh, S.C.;Kim, G.H.;Shin, D.M.
    • Proceedings of the KIEE Conference
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    • 1998.07f
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    • pp.1908-1910
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    • 1998
  • 지금 까지 유도 가열용 인버터의 여러 가지 회로 방식이 소개 되었다. 그러나, 회로 방식을 선정 하는데 있어서 설계자의 취향, 또는 종래의 회로을 채택으로 인하여, 각기 다른 출력, 스위치 소자의 정격 전압, 전류, 및 수동 소자의 정격 전압, 전류을 만족하는 회로 선정이 될 수 있는 수식적 모델링, 비교 실험이 부족 하였다.

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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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Certain Geometric Properties of an Integral Operator Involving Bessel Functions

  • Selvakumaran, Kuppathai Appasamy;Szasz, Robert
    • Kyungpook Mathematical Journal
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    • v.58 no.3
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    • pp.507-517
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    • 2018
  • In this article, we introduce a new integral operator involving normalized Bessel functions of the first kind and we obtain a set of sufficient conditions for univalence. Our results contain some interesting corollaries as special cases. Further, as particular cases, we improve some of the univalence conditions proved in [2].

Comparison of the NDVI, ARVI and AFRI vegetation index, along with their relations with the AOD using SPOT 4 Vegetation data

  • Liu, Gin-Rong;Liang, Chih-Kang;Kuo, Tsung-Hua
    • Proceedings of the KSRS Conference
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    • 2003.11a
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    • pp.582-584
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    • 2003
  • This paper explores two such indexes----the Aerosol Free Vegetation Index (AFRI) and the Atmospherically Resistant Vegetation Index (ARVI). Comparisons were made with the NDVI (normalized vegetation index) to see if they indeed performed better. In general, the results showed that the AFRI and ARVI (with gamma=1) did indeed perform better than their NDVI counterpart study with the related channels were employed.

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Adaptable Center Detection of a Laser Line with a Normalization Approach using Hessian-matrix Eigenvalues

  • Xu, Guan;Sun, Lina;Li, Xiaotao;Su, Jian;Hao, Zhaobing;Lu, Xue
    • Journal of the Optical Society of Korea
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    • v.18 no.4
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    • pp.317-329
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    • 2014
  • In vision measurement systems based on structured light, the key point of detection precision is to determine accurately the central position of the projected laser line in the image. The purpose of this research is to extract laser line centers based on a decision function generated to distinguish the real centers from candidate points with a high recognition rate. First, preprocessing of an image adopting a difference image method is conducted to realize image segmentation of the laser line. Second, the feature points in an integral pixel level are selected as the initiating light line centers by the eigenvalues of the Hessian matrix. Third, according to the light intensity distribution of a laser line obeying a Gaussian distribution in transverse section and a constant distribution in longitudinal section, a normalized model of Hessian matrix eigenvalues for the candidate centers of the laser line is presented to balance reasonably the two eigenvalues that indicate the variation tendencies of the second-order partial derivatives of the Gaussian function and constant function, respectively. The proposed model integrates a Gaussian recognition function and a sinusoidal recognition function. The Gaussian recognition function estimates the characteristic that one eigenvalue approaches zero, and enhances the sensitivity of the decision function to that characteristic, which corresponds to the longitudinal direction of the laser line. The sinusoidal recognition function evaluates the feature that the other eigenvalue is negative with a large absolute value, making the decision function more sensitive to that feature, which is related to the transverse direction of the laser line. In the proposed model the decision function is weighted for higher values to the real centers synthetically, considering the properties in the longitudinal and transverse directions of the laser line. Moreover, this method provides a decision value from 0 to 1 for arbitrary candidate centers, which yields a normalized measure for different laser lines in different images. The normalized results of pixels close to 1 are determined to be the real centers by progressive scanning of the image columns. Finally, the zero point of a second-order Taylor expansion in the eigenvector's direction is employed to refine further the extraction results of the central points at the subpixel level. The experimental results show that the method based on this normalization model accurately extracts the coordinates of laser line centers and obtains a higher recognition rate in two group experiments.

Therapeutic Effect of Korean Red Ginseng Extract on Infertility Caused by Polycystic Ovaries

  • Jung, Ji-Hun;Park, Hyun-Tae;Kim, Tak;Jeong, Moon-Jin;Lim, Sung-Chul;Nah, Seung-Yeol;Cho, Ik-Hyun;Park, Soo-Hyun;Kang, Seong-Soo;Moon, Chang-Jong;Kim, Jong-Choon;Kim, Sung-Ho;Bae, Chun-Sik
    • Journal of Ginseng Research
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    • v.35 no.2
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    • pp.250-255
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    • 2011
  • Polycystic ovarian syndrome (PCOS) is a very common endocrine disorder in women of reproductive age. Nerve growth factor (NGF) may be involved in the pathogenesis of PCOS. In this study, we investigated the effect of Korean red ginseng extract (KRGE) on the ovarian morphology and NGF expression in an estradiol valerate (EV)-induced rat model. Polycystic ovaries were induced by a single intramuscular injection of estadiol valerate (4 mg, dissolved in sesame oil) in adult cycling rats. KRGE was administered orally (200 mg/kg body weight/day) for 60 consecutive days, beginning 60 days after the induction. Ovarian morphology was almost normalized and NGF was normalized in the EV+KRGE group. KRGE lowered the high numbers of antral follicles and increased the number of corpora lutea in the polycystic ovaries. The results are consistent with a beneficial effect of KRGE in the treatment of PCOS.

Effect of Slowly Forced Expiration on Abdominal Muscle Activity During Cross Knee Curl-Up Exercise

  • Yoon, Tae-Lim;Kim, Ki-Song
    • Physical Therapy Korea
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    • v.21 no.1
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    • pp.63-69
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    • 2014
  • Cross knee curl-up is an ideal variation of abdominal curl up exercise to strengthen abdominal musculature without excessive lumbar flexion which can increase the loads on the disc and ligaments. In addition, slowly forced expiration can facilitate the activation of the abdominal musculature. The purpose of this study was to determine the effects of slowly forced expiration on activity of abdominal muscles, such as rectus abdominis (RA), external oblique (EO), and transverse abdominis/internal oblique (TrA/IO), while cross knee curl-up. Eleven young and healthy subjects (6 males and 5 females) participated. All subjects performed the cross knee curl-up slowly forced expiration and natural breathing. Paired t-test was performed in normalized electromyogram (EMG) muscle activity of the bilateral RA, EO, and TrA/IO to compare the differences between the cross curl-up with slowly forced expiration and natural breathing. Statistical significance was set at .05. There were no significant differences in normalized EMG muscle activity of the bilateral RA, EO, and TrA/IO between the cross curl-up with slowly forced expiration and natural breathing. The finding of this study designates that slowly forced expiration does not induce increasing activity of abdominal muscle in cross knee curl-up; hence, learning step of breathing control might not be necessary to strengthen abdominal muscle in cross knee curl-up.