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On Sufficient Conditions for Certain Subclass of Analytic Functions Defined by Convolution

  • Sooriyakala, Paramasivam;Marikkannan, Natarajan
    • Kyungpook Mathematical Journal
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    • v.49 no.1
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    • pp.47-55
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    • 2009
  • In the present investigation sufficient conditions are found for certain subclass of normalized analytic functions defined by Hadamard product. Differential sandwich theorems are also obtained. As a special case of this we obtain results involving Ruscheweyh derivative, S$\u{a}$l$\u{a}$gean derivative, Carlson-shaffer operator, Dziok-Srivatsava linear operator, Multiplier transformation.

Reactions of Trichloroethylideneacetone with Hydrazines (Ⅰ) (Trichloroethylideneacetone과 Hydrazine 들의 반응 (Ⅰ))

  • Lee, Youn Young;Lee Woo Young;Chang Sae Hee
    • Journal of the Korean Chemical Society
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    • v.16 no.4
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    • pp.229-231
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    • 1972
  • 2, 6-Disubstituted-3-pyridazinones were synthesized from the reaction of trichloroethylideneacetone with substituted phenylhydrazines. From the reaction of trichloroethylideneacetone with ο-nitrophenylhydrazine, pyridazinone derivative was not obtained, but ${\gamma},{\gamma}$-dichloro-${\gamma}$-(o-nitrophenylhydrazino)-ethylideneacetone was obtained in 24% yield.

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Isolation of Quercetin and Isorhamnetin Derivatives and Evaluation of Anti-microbial and Anti-inflammatory Activities of Persicaria glabra

  • Manivannan, R.;Shopna, R.
    • Natural Product Sciences
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    • v.21 no.3
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    • pp.170-175
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    • 2015
  • The present study aims to detect the rare flavonoids isolated from the leaves of Persicaria glabra. The known flavonoids: quercetin (1), isorhamnetin (2), avicularin (3) and new one isorhamnetin-3-O-α-L-(6''-E-p-coumaroyl)-rhamnoside (4) were identified by HPLC, UV, IR and NMR. P. glabra has used traditionally for its analgesic, anti-inflammatory and anti-rheumatic properties. To find out the ingredients responsible for the efficiency of this plant, we have used to study the anti-microbial and anti-inflammatory activities of different extracts.

The Significant Structures of Liquid Halogens (액체 할로겐의 구조에 관하여)

  • Hyungsuk Park;Seihun Chang
    • Journal of the Korean Chemical Society
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    • v.7 no.2
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    • pp.179-181
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    • 1963
  • The partition function of liquid halogens is developed applying the significant liquid structure theory proposed by H. Eyring and co-workers. The parameters in the partition function are determined by triple point technique which was proposed by the authors in the previous paper, and also the thermodynamic properties and the surface tension are calculated by the method therein.

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The Theory of Significant Structure of Liquids : A New Method of Fixing Parameters (액체의 구조에 관하여 -새로운 Parameter 결정법-)

  • Hyungsuk Park;Seihun Chang
    • Journal of the Korean Chemical Society
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    • v.7 no.2
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    • pp.174-178
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    • 1963
  • The new method to determine the parameters in the liquid partition function of H. Eyring and co-workers is proposed, in which method the equilibrium condition of the three phases and the boundary condition of the liquid partition function at the triple point are used. The calculated thermodynamic properties using the new determined parameters are agreed well with the observed values.

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COMMON COUPLED FIXED POINT FOR HYBRID PAIR OF MAPPINGS UNDER GENERALIZED NONLINEAR CONTRACTION

  • Deshpande, Bhavana;Handa, Amrish
    • East Asian mathematical journal
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    • v.31 no.1
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    • pp.77-89
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    • 2015
  • We establish a coupled coincidence and common coupled fixed point theorem for hybrid pair of mappings under generalized non-linear contraction. An example supporting to our result has also been cited. We improve, extend and generalize several known results.

Transient State Theory of Significant Liquid Structure Applied to Alkali Earth Chlorides (용융 알칼리토금속 염화물에 대한 천이상태 이론의 적용)

  • Ahn, Woon-Sun;Chang, Sei-Hun
    • Journal of the Korean Chemical Society
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    • v.14 no.1
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    • pp.109-112
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    • 1970
  • 액체구조의 천이상태 이론을 알칼리토금속 염화물에 적용시켜서 상태합을 유도하였다. 이 상태합으로부터 $SrCl_2$$BaCl_2$의 증기압, 몰부피, 엔트로피등의 열역학적 성질을 계산하여 실험치와 비교하였으며, 천이상태 이론이 용융염에도 잘 적용된다는 결론을 얻었다.

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Polygonal Approximation of Digital Curves to Preserve Original Shapes

  • Lee, Dae-Ho;Lee, Seung-Gwan
    • ETRI Journal
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    • v.32 no.4
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    • pp.630-633
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    • 2010
  • In this letter, we propose a novel polygonal approximation of digital curves that preserve original shapes. The proposed method first detects break points, which have two different consecutive vectors, and sets an initial dominant point set. The approximation is then performed iteratively by deleting a dominant point using a novel distance, which can measure both the distance and the angle acuteness. The experimental results show that the proposed method can preserve original shapes and is appropriate for various shapes, including slab-sided shapes.