• Title/Summary/Keyword: k-Hadamard

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BOUNDS OF AN INTEGRAL OPERATOR FOR CONVEX FUNCTIONS AND RESULTS IN FRACTIONAL CALCULUS

  • Mishira, Lakshmi Narayan;Farid, Ghulam;Bangash, Babar Khan
    • Honam Mathematical Journal
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    • v.42 no.2
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    • pp.359-376
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    • 2020
  • The present research investigates the bounds of an integral operator for convex functions and a differentiable function f such that |f'| is convex. Further, these bounds of integral operators specifically produce estimations of various classical fractional and recently defined conformable integral operators. These results also contain bounds of Hadamard type for symmetric convex functions.

POLYNOMIAL GROWTH HARMONIC MAPS ON COMPLETE RIEMANNIAN MANIFOLDS

  • Lee, Yong-Hah
    • Bulletin of the Korean Mathematical Society
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    • v.41 no.3
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    • pp.521-540
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    • 2004
  • In this paper, we give a sharp estimate on the cardinality of the set generating the convex hull containing the image of harmonic maps with polynomial growth rate on a certain class of manifolds into a Cartan-Hadamard manifold with sectional curvature bounded by two negative constants. We also describe the asymptotic behavior of harmonic maps on a complete Riemannian manifold into a regular ball in terms of massive subsets, in the case when the space of bounded harmonic functions on the manifold is finite dimensional.

ON CERTAIN SUBCLASSES OF STARLIKE FUNCTIONS

  • Kwon, Oh-Sang
    • Communications of the Korean Mathematical Society
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    • v.10 no.2
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    • pp.305-315
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    • 1995
  • The class $R_{\gamma-1,p}(A,B,\alpha)$ for $-1 \leq B < A \leq 1,\gamma > (B -1)p+(A_B)(p-\alpha)/1-B$ and $0 \leq \alpha < p$ consisting of p-valently analytic functions in the open unit disc is defined with the help of convolution technique. We study containment property, integral transforms and a sufficient condition for an analytic function to be in $R_{\gamma-1,p}(A,B,\alpha)$.

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Convolution Properties of Certain Class of Multivalent Meromorphic Functions

  • Vijaywargiya, Pramila
    • Kyungpook Mathematical Journal
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    • v.49 no.4
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    • pp.713-723
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    • 2009
  • The purpose of the present paper is to introduce a new subclass of meromorphic multivalent functions defined by using a linear operator associated with the generalized hypergeometric function. Some properties of this class are established here by using the principle of differential subordination and convolution in geometric function theory.

UNIVALENT FUNCTIONS WITH POSITIVE COEFFICIENTS INVOLVING POISSON DISTRIBUTION SERIES

  • Murugusundaramoorthy, Gangadharan
    • Honam Mathematical Journal
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    • v.40 no.3
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    • pp.529-538
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    • 2018
  • The purpose of the present paper is to establish connections between various subclasses of analytic univalent functions by applying certain convolution operator involving Poisson distribution series. To be more precise,we investigate such connections with the classes of analytic univalent functions with positive coefficients in the open unit disk.

Design of SSDT Cell ID Codes for W-CDMA System (W-CDMA 시스템의 SSDT 기지국 식별 부호 설계)

  • Song, Young-Joon
    • Proceedings of the IEEK Conference
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    • 2007.07a
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    • pp.69-70
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    • 2007
  • The code division multiple access (CDMA) system capacity is limited by the amount of interference of the system. To reduce the unnecessary interference, this paper proposes optimized cell identification (ID) codes for site selection diversity transmission (SSDT) power control in wideband code division multiple access system of third generation partnership project (3GPP). The proposed SSDT cell ID codes are designed to minimize the problem and to be easily decoded using simple fast Hadamard transformation (FHT) decoder.

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On Applications of Differential Subordination to Certain Subclass of Multivalent Functions

  • Aghalary, Rasoul;Wang, Zhi-Gang
    • Kyungpook Mathematical Journal
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    • v.49 no.2
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    • pp.265-281
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    • 2009
  • In the present paper, we introduce and investigate a new subclass of multivalent functions associated with the Cho-Kwon-Srivastava operator $\tau^{\lambda}_p(a,c)$. Such results as inclusion relationships, convolution properties and criteria for starlikeness are proved. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.

MAJORIZATION PROBLEMS FOR UNIFORMLY STARLIKE FUNCTIONS BASED ON RUSCHEWEYH q-DIFFERENTIAL OPERATOR RELATED WITH EXPONENTIAL FUNCTION

  • Vijaya, K.;Murugusundaramoorthy, G.;Cho, N.E.
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.1
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    • pp.71-81
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    • 2021
  • The main object of this present paper is to study some majorization problems for certain classes of analytic functions defined by means of q-calculus operator associated with exponential function.

A Study on Performance Improvement of Mobile Rake Finger for Multirate (Multirate를 위한 이동국 Rake Finger의 성능 개선에 관한 연구)

  • Kim, Jong-Youb;Lee, Seon-Keun;Park, Hyoung-Keun;Park, Hwan-Young
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.38 no.12
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    • pp.66-74
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    • 2001
  • In this paper, we proposed the new structure of the Rake Finger using Walsh Switch, the shared accumulator, and the pipeline FWHT(Fast Walsh Hadamard Transform) algorithm for reducing the signal processing complexity resulting from the increase of the number of data correlators. The function simulation of the proposed architecture is performed by Synopsys tool and the timing simulation is performed by Compass tool. The number of computational operation in the proposed data correlators is 160 additions and the conventional ones is 512 additions when the number of walsh code channels is 4. As a result, it is reduced about 3.2 times other than the number of computational operation of the conventional ones. Also, the result shows that the data processing time of the proposed Rake Finger architecture is 90,496[ns] and the conventional ones is 110,696[ns]. It is 18.3% faster than the data processing time of the conventional Rake Finger architecture.

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Fast intra mode decision algorithm by using hadamard transform difference (하다마드 트랜스폼 차이를 이용한 빠른 화면 내 모드 결정 기법)

  • Hwang, Ung;Kim, Joo-Hyuk;Kim, Tae-Ho;Jeong, Je-Chang
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2011.07a
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    • pp.578-581
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    • 2011
  • H.264/AVC에서는 율-왜곡 최적화 기법을 사용하여 부호화 성능을 이전 보다 대폭 향상시켰다. 율-왜곡 최적화 기법은 선택할 수 있는 모든 코딩 모드들의 비용을 계산한 후, 최소의 비용을 가진 모드를 선택하여 부호화를 한다. 따라서 코딩 모드들이 많아질수록 복잡도 역시 증가하며, 기존 표준보다 다양한 코딩모드를 지원하는 H.264에서는 복잡도가 더 많이 증가한다. 본 논문에서는 SAHTD(Sum of Absolute Hadamard Transform Difference)를 이용하여 화면 내 모드 결정부에서 빠른 화면내 모드 결정을 하면서도 압축 손실이 적게 발생하는 방법을 제시하였다. 휘도 신호 $16{\times}16$블록, 휘도 신호 $4{\times}4$블록, 색차 신호 $8{\times}8$블록 모두 SAHTD를 기준으로 최적의 모드가 결정된다. 휘도 신호 $16{\times}16$블록에서 SAHTD값에 따라 $4{\times}4$블록 부호화 과정을 조기 종결이 가능하게 하는 것과, 휘도 신호 $4{\times}4$에서는 SAHTD 값이 가장 낮은 3개의 모드와 MPM(Most Probable Mode)을 후보 모드로 선택하여 율-왜곡 최적화를 수행하는 방식이 사용되었다. MPM이 SAHTD값이 가장 낮을 경우 MPM이 휘도신호 $4{\times}4$블록의 최적의 모드로 선택되고 종료된다. JM 참조 소프트웨어를 통한 실험결과 제안된 기법은 기존 JM의 방식에 비해 화면 내 프레임의 부호화 시간의 84.7% 감소와 0.049dB의 PSNR 감소율, 0.595%의 비트 증가율을 보여주었다.

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