• 제목/요약/키워드: Derivative operator

검색결과 117건 처리시간 0.023초

PARTIAL SUMS AND NEIGHBORHOODS OF JANOWSKI-TYPE SUBCLASSES OF MEROMORPHIC FUNCTIONS

  • Abdullah Alatawi;Maslina Darus
    • Korean Journal of Mathematics
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    • 제31권3호
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    • pp.259-267
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    • 2023
  • The paper presents the introduction of a novel linear derivative operator for meromorphic functions that are linked with q-calculus. Using the linear derivative operator, a new category of meromorphic functions is generated in the paper. We obtain sufficient conditions and show some properties of functions belonging to these subclasses. The partial sums of its sequence and the q-neighborhoods problem are solved.

MULTI-SCALE DERIVATIVE OF IRREGULAR FUNCTIONS

  • Kim, Tae-Sik
    • Journal of applied mathematics & informatics
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    • 제13권1_2호
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    • pp.393-404
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    • 2003
  • In general, a differential operator can be used as a tool of treating the local properties of given function. However, when the given function is varied with high frequency and has irregular form with non-stationary evolution it may not act its role sufficiently as in case of nowhere differentiable curves. In this paper we introduce a multi-scale derivative as a form of weakened global derivative so that it may explain its semi global diffusion properties as well as local ones for the various irregular diffusion phenomena.

INEQUALITIES FOR B-OPERATOR

  • Akhter, Rubia;Gulzar, M.H.
    • Korean Journal of Mathematics
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    • 제30권3호
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    • pp.525-532
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    • 2022
  • Let 𝓟n denote the space of all complex polynomials $P(z)=\sum\limits_{j=0}^{n}{\alpha}_jz^j$ of degree n. Let P ∈ 𝓟n, for any complex number α, DαP(z) = nP(z) + (α - z)P'(z), denote the polar derivative of the polynomial P(z) with respect to α and Bn denote a family of operators that maps 𝓟n into itself. In this paper, we combine the operators B and Dα and establish certain operator preserving inequalities concerning polynomials, from which a variety of interesting results can be obtained as special cases.

FRACTIONAL HYBRID DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN OPERATOR

  • CHOUKRI DERBAZI;ABDELKRIM SALIM;HADDA HAMMOUCHE;MOUFFAK BENCHOHRA
    • Journal of Applied and Pure Mathematics
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    • 제6권1_2호
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    • pp.21-36
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    • 2024
  • In this paper, we study the existence of solutions for hybrid fractional differential equations with p-Laplacian operator involving fractional Caputo derivative of arbitrary order. This work can be seen as an extension of earlier research conducted on hybrid differential equations. Notably, the extension encompasses both the fractional aspect and the inclusion of the p-Laplacian operator. We build our analysis on a hybrid fixed point theorem originally established by Dhage. In addition, an example is provided to demonstrate the effectiveness of the main results.

AN APPLICATION OF CERTAIN LINEAR OPERATOR

  • Aouf, M.K.;Hossen, H.M.;Lashin, A.Y.
    • 대한수학회보
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    • 제37권4호
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    • pp.765-770
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    • 2000
  • The object of the present paper is to give an application of a linear operator $L_p(a, c)$ defined by means of a Hadamard product (or convolution) to a Miller and Mocanu’s theorem.

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AN APPLICATION OF CERTAIN LINEAR OPERATOR

  • M. K. Aouf;H. M. Hossen;A. Y. Lashin
    • 대한수학회보
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    • 제37권4호
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    • pp.764-764
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    • 2000
  • The object of the present paper is to give an application of a linear operator L(sub)p(a, c) defined by means of a Hadamard product (or convolution) to a Miller and Mocanu’s theorem.

2차 미분 연산자를 이용한 효과적인 Dynamic Time Warping (Efficient Dynamic Time Warping Using 2nd Derivative Operator)

  • 김세훈;최형일;이양원;장석우
    • 한국컴퓨터정보학회논문지
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    • 제16권2호
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    • pp.61-69
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    • 2011
  • 동적계획법이 기반인 Dynamic Time Warping은 두 패턴의 유사도를 비교하기 위해 널리 사용되는 방법이다. DTW알고리즘에는 2가지 알려진 문제점이 있다. 첫 번째 문제는 DTW알고리즘은 2개의 패턴의 대응경로를 계산하면서 특이점이 발생하는 문제가 발생하게 된다. 두 번째 문제는 동적패턴의 대응경로가 올바른지 알 수 없다는 문제가 있다. 이에 본 논문에서는 DTW알고리즘의 문제에 대한 효과적인 해결을 위하여, 2차 미분 연산자를 적용한 DTW알고리즘을 제안 한다. 2차 미분 연산자의 하나인 "라플라시안오브가우시안" 연산자를 적용하여, 효과적으로 특이점에 대한 문제를 해결하고, 올바른 대응경로를 가질 수 있는 방법에 대하여 제안하고, 실험의 결과로 제안하는 알고리즘의 우수성을 증명한다.

NOTES ON BERGMAN PROJECTION TYPE OPERATOR RELATED WITH BESOV SPACE

  • CHOI, KI SEONG
    • 충청수학회지
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    • 제28권3호
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    • pp.473-482
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    • 2015
  • Let Qf be the maximal derivative of f with respect to the Bergman metric $b_B$. In this paper, we will find conditions such that $(1-{\parallel}z{\parallel})^s(Qf)^p(z)$ is bounded on B. We will also find conditions such that Bergman projection type operator $P_r$ is bounded operator from $L^p(B,d{\mu}_r)$ to the holomorphic Besov p-space Bs $B^s_p(B)$ with weight s.

HOPF HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH LIE PARALLEL NORMAL JACOBI OPERATOR

  • Jeong, Im-Soon;Lee, Hyun-Jin;Suh, Young-Jin
    • 대한수학회보
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    • 제48권2호
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    • pp.427-444
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    • 2011
  • In this paper we give some non-existence theorems for Hopf hypersurfaces in the complex two-plane Grassmannian $G_2(\mathbb{C}^{m+2})$ with Lie parallel normal Jacobi operator $\bar{R}_N$ and totally geodesic D and $D^{\bot}$ components of the Reeb flow.

CONVOLUTION PROPERTIES FOR ANALYTIC FUNCTIONS DEFINED BY q-DIFFERENCE OPERATOR

  • Cetinkaya, Asena;Sen, Arzu Yemisci;Polatoglu, Yasar
    • 호남수학학술지
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    • 제40권4호
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    • pp.681-689
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    • 2018
  • In this paper, we defined new subclasses of Spirallike and Robertson functions by using concept of q-derivative operator. We investigate convolution properties and coefficient estimates for both classes q-Spirallike and q-Robertson functions denoted by ${\mathcal{S}}^{\lambda}_q[A,\;B]$ and ${\mathcal{C}}^{\lambda}_q[A,\;B]$, respectively.