• 제목/요약/키워드: k-Hadamard

검색결과 186건 처리시간 0.022초

Differential Subordination and Superordination Results associated with Srivastava-Attiya Integral Operator

  • Prajapat, Jugal Kishore;Mishra, Ambuj Kumar
    • Kyungpook Mathematical Journal
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    • 제57권2호
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    • pp.233-244
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    • 2017
  • Differential subordination and superordination results associated with a generalized Hurwitz-Lerch Zeta function in the open unit disk are obtained by investigating appropriate classes of admissible functions. In particular some inequalities for generalized Hurwitz-Lerch Zeta function are obtained.

SOME NEW INTEGRAL MEANS INEQUALITIES AND INCLUSION PROPERTIES FOR A CLASS OF ANALYTIC FUNCTIONS INVOLVING CERTAIN INTEGRAL OPERATORS

  • Raina, R.K.;Bansal, Deepak
    • East Asian mathematical journal
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    • 제24권4호
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    • pp.347-358
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    • 2008
  • In this paper we investigate integral means inequalities for the integral operators $Q_{\lambda}^{\mu}$ and $P_{\lambda}^{\mu}$ applied to suitably normalized analytic functions. Further, we obtain some neighborhood and inclusion properties for a class of functions $G{\alpha}({\phi}, {\psi})$ (defined below). Several corollaries exhibiting the applications of the main results are considered in the concluding section.

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High-speed Hardware Design for the Twofish Encryption Algorithm

  • Youn Choong-Mo;Lee Beom-Geun
    • Journal of information and communication convergence engineering
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    • 제3권4호
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    • pp.201-204
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    • 2005
  • Twofish is a 128-bit block cipher that accepts a variable-length key up to 256 bits. The cipher is a 16­round Feistel network with a bijective F function made up of four key-dependent 8-by-8-bit S-boxes, a fixed 4­by-4 maximum distance separable matrix over Galois Field$(GF (2^8)$, a pseudo-Hadamard transform, bitwise rotations, and a carefully designed key schedule. In this paper, the Twofish is modeled in VHDL and simulated. Hardware implementation gives much better performance than software-based approaches.

SUBORDINATION RESULTS FOR CERTAIN SUBCLASSES BY USING INTEGRAL OPERATOR DEFINED IN THE SPACE OF ANALYTIC FUNCTIONS

  • Sakar, F. Muge;Guney, H. Ozlem
    • 호남수학학술지
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    • 제40권2호
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    • pp.315-323
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    • 2018
  • In this study, firstly we introduce generalized differential and integral operator, also using integral operator two classes are presented. Furthermore, some subordination results involving the Hadamard product (Convolution) for these subclasses of analytic function are proved. A number of consequences of some of these subordination results are also discussed.

INEQUALITIES INVOLVING KHATRI-RAO PRODUCTS OF HERMITIAN MATRICES

  • Yang, Zhong-Peng;Zhang, Xian;Cao, Chong-Guang
    • Journal of applied mathematics & informatics
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    • 제9권1호
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    • pp.125-133
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    • 2002
  • Recently, Several inequalities Khatri-Rao Products of two four partitioned blocks positive definite real symmetry matrices are established by Liu in[Lin. Alg. Appl. 289(1999): 267-277]. We extend these results in two ways. First, the results are extended to two any partitioned blocks Hermitian matrices. Second, necessary and sufficient conditions under which these inequalities become equalities are presented.

A STARLIKENESS CONDITION ASSOCIATED WITH THE RUSCHEWEYH DERIVATIVE

  • Li, Jian-Lin;Srivastava, H.M.
    • East Asian mathematical journal
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    • 제18권1호
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    • pp.1-13
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    • 2002
  • Some Miller-Mocanu type arguments are used here in order to establish a general starlikeness condition involving the familiar Ruscheweyh derivative. Relevant connections with the various known starlikeness conditions are also indicated. This paper concludes with several remarks and observations in regard especially to the nonsharpness of the main starlike condition presented here.

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ASYMPTOTIC DIRICHLET PROBLEM FOR HARMONIC MAPS ON NEGATIVELY CURVED MANIFOLDS

  • KIM SEOK WOO;LEE YONG HAH
    • 대한수학회지
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    • 제42권3호
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    • pp.543-553
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    • 2005
  • In this paper, we prove the existence of nonconstant bounded harmonic maps on a Cartan-Hadamard manifold of pinched negative curvature by solving the asymptotic Dirichlet problem. To be precise, given any continuous data f on the boundary at infinity with image within a ball in the normal range, we prove that there exists a unique harmonic map from the manifold into the ball with boundary value f.

Suffciency Conditions for Hypergeometric Functions to be in a Subclasses of Analytic Functions

  • Aouf, Mohamed Kamal;Mostafa, Adela Osman;Zayed, Hanaa Mousa
    • Kyungpook Mathematical Journal
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    • 제56권1호
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    • pp.235-248
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    • 2016
  • The purpose of this paper is to introduce sufficient conditions for (Gaussian) hypergeometric functions to be in various subclasses of analytic functions. Also, we investigate several mapping properties involving these subclasses.

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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    • 제25권2호
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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.

블록순환 행렬에 의한 이중나선 DNA 구조 (II) (A Double Helix DNA Structure Based on Block Circulant Matrix (II))

  • 박주용;김정수;이문호
    • 한국인터넷방송통신학회논문지
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    • 제16권5호
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    • pp.229-233
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    • 2016
  • 본 논문에서는 4개의 유전자 핵염기 C, U(T), A, G를 행렬로 표시하고, $4{\times}4$ RNA(ribose nucleic acid)에서 $8{\times}8$ DNA(deoxyribose nucleic acid)로의 행렬 구조에 대해 서술한다. BCHJM (block circulant Hadamard-Jacket matrix)에 의해 DNA 이중나선 구조(double helix)를 해석한다. 직교 BCHJM은 비대칭 쌍 상보성(complementary)을 보이고 있다. 블록순환(block circulant) RNA 쌍 손상(damage) 신뢰성(reliability)은 기존 이중나선 보다 우수함을 보이고 있다. k=4, N=1인 경우 블록 순환 상보 쌍 신뢰도는 93.75%이고, k=4, N=4인 경우 신뢰도는 98.44%로 기존 이중나선의 경우 보다 4.69% 개선된다.