• Title/Summary/Keyword: $L^p$ space

Search Result 432, Processing Time 0.032 seconds

ITERATED LEFT ABSTRACT FRACTIONAL LANDAU INEQUALITIES

  • ANASTASSIOU, GEORGE A.
    • Journal of applied mathematics & informatics
    • /
    • v.38 no.5_6
    • /
    • pp.559-577
    • /
    • 2020
  • We present uniform and Lp left Caputo-Bochner abstract iterated fractional Landau inequalities over ℝ+. These estimate the size of second and third iterated left abstract fractional derivates of a Banach space valued function over ℝ+. We give an application when the basic fractional order is ${\frac{1}{2}}$.

A Coupled Fixed Point Theorem for Mixed Monotone Mappings on Partial Ordered G-Metric Spaces

  • Lee, Hosoo
    • Kyungpook Mathematical Journal
    • /
    • v.54 no.3
    • /
    • pp.485-500
    • /
    • 2014
  • In this paper, we establish coupled fixed point theorems for mixed monotone mappings satisfying nonlinear contraction involving a pair of altering distance functions in ordered G-metric spaces. Via presented theorems we extend and generalize the results of Harjani et al. [J. Harjani, B. L$\acute{o}$pez and K. Sadarangani, Fixed point theorems for mixed monotone operators and applications to integral equations, Nonlinear Anal. 74 (2011) 1749-1760] and Choudhury and Maity [B.S. Choudhury and P. Maity, Coupled fixed point results in generalized metric spaces. Math. Comput. Model. 54 (2011), 73-79].

Eddy current compensation using a gradient system modeling in MR Spiral scan imaging (MR Spiral scan 영상에서 Gradient system의 모델링을 이용한 Eddy current compensation)

  • Cho, S.H.;Kim, P.K.;Kang, S.W.;Ahn, C.B.
    • Proceedings of the KIEE Conference
    • /
    • 2007.07a
    • /
    • pp.339-340
    • /
    • 2007
  • Gradient system에 spiral waveform 입력을 가하면 Hardware limitation에 의하여 만들어지는 gradient fields에 Transient time delay가 발생한다. 이를 보상하기 위하여, Gradient system을 R-L-C 회로로 모델링하여 재구성에 필요한 k-space trajectory를 보정하여 개선된 image를 획득하였다.

  • PDF

CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE CHEBYSHEV POLYNOMIALS

  • BULUT, Serap;MAGESH, Nanjundan;BALAJI, Vittalrao Kupparao
    • Honam Mathematical Journal
    • /
    • v.40 no.4
    • /
    • pp.611-619
    • /
    • 2018
  • In this paper, we obtain initial coefficient bounds for an unified subclass of analytic functions by using the Chebyshev polynomials. Furthermore, we find the Fekete-$Szeg{\ddot{o}}$ result for this class. All results are sharp. Consequences of the results are also discussed.

EXTENDING AND LIFTING OPERATORS ON BANACH SPACES

  • Kang, JeongHeung
    • Korean Journal of Mathematics
    • /
    • v.27 no.3
    • /
    • pp.645-655
    • /
    • 2019
  • In this article, we show that the nuclear operator defined on Banach space has an extending and lifting operator. Also we give new proofs of the well known facts which were given $Pelcz{\acute{y}}nski$ theorem for complemented subspaces of ${\ell}_1$ and Lewis and Stegall's theorem for complemented subspaces of $L_1({\mu})$.

ON CERTAIN ESTIMATES FOR ROUGH GENERALIZED PARAMETRIC MARCINKIEWICZ INTEGRALS

  • Daiqing, Zhang
    • Bulletin of the Korean Mathematical Society
    • /
    • v.60 no.1
    • /
    • pp.47-73
    • /
    • 2023
  • This paper is devoted to establishing certain Lp bounds for the generalized parametric Marcinkiewicz integral operators associated to surfaces generated by polynomial compound mappings with rough kernels given by h ∈ ∆γ(ℝ+) and Ω ∈ Wℱβ(Sn-1) for some γ, β ∈ (1, ∞]. As applications, the corresponding results for the generalized parametric Marcinkiewicz integral operators related to the Littlewood-Paley g*λ functions and area integrals are also presented.

Structural Characteristics that Influence on the Insecticidal Activity of 2-(n-Octyl)pseudothiourea Analogues against the Diamondback Moth (Plutella xylostella, L.)

  • Soung, Min-Gyu;Kil, Mun-Jae;Sung, Nack-Do
    • Bulletin of the Korean Chemical Society
    • /
    • v.30 no.11
    • /
    • pp.2749-2753
    • /
    • 2009
  • Structural characteristics that influence on the insecticidal activity ($pI_{50}$) of 2-(n-octyl)isothiourea analogues (1-45) against the diamondback moth (Plutella xylostella, L.) based on three dimensional quantitative structure activity relationships (3D-QSARs) were discussed quantitatively using a comparative molecular field analysis (CoMFA) and a comparative molecular similarity indeces analysis (CoMSIA) methods. The statistical values of the CoMFA 2 model were better than those of the CoMSIA 1 model. The CoMFA 2 model was the optimized model with the correlativity (the training set: Ave. = 0.104 & PRESS = 0.613) and the predictability (the test set: Ave. = 0.086 & PRESS = 0.096). Insecticidal activities with the optimized CoMFA 2 model were dependent upon steric factors (79.4%) of $R_1-R_3$ substituents. From the analytical results of CoMFA contour maps, it is predicted that the R1 substituent of 1-45 which has a steric favor in a broad space, $R_2\;and\;R_3$ groups with a steric favor in a narrow space and a H-bond donor favor would have better the insecticidal activity.

Utilization of End-of-Life Care Rooms by Patients Who Died in a Single Hospice Unit at a National University Hospital in South Korea

  • Gyu Lee Kim;Seung Hun Lee;Yun Jin Kim;Jeong Gyu Lee;Yu Hyeon Yi;Young Jin Tak;Young Jin Ra;Sang Yeoup Lee;Young Hye Cho;Eun Ju Park;Young In Lee;Jung In Choi;Sae Rom Lee;Ryuk Jun Kwon;Soo Min Son
    • Journal of Hospice and Palliative Care
    • /
    • v.26 no.2
    • /
    • pp.60-68
    • /
    • 2023
  • Purpose: For the dignity of patients nearing the end of their lives, it is essential to provide end-of-life (EoL) care in a separate, dedicated space. This study investigated the utilization of specialized rooms for dying patients within a hospice unit. Methods: This retrospective study examined patients who died in a single hospice unit between January 1, 2017, and December 31, 2021. Utilizing medical records, we analyzed the circumstances surrounding death, the employment of specialized rooms for terminally ill patients, and the characteristics of those who received EoL care in a shared room. Results: During the 1,825-day survey period, deaths occurred on 632 days, and 799 patients died. Of these patients, 496 (62.1%) received EoL care in a dedicated room. The average duration of using this dedicated space was 1.08 days. Meanwhile, 188 patients (23.5%) died in a shared room. Logistic regression analysis revealed that a longer stay in the hospice unit was associated with a lower risk of receiving EoL care in a shared room (odds ratio [OR]=0.98, 95% confidence interval [CI] 0.97~0.99; P=0.002). Furthermore, a higher number of deaths on the day a patient died was associated with a greater risk of receiving EoL care in a shared room (OR=1.66, 95% CI 1.33~2.08; P<0.001). Conclusion: To ensure that more patients receive EoL care for an adequate duration in a private setting, additional research is necessary to increase the number of dedicated rooms and incorporate them into the hospice unit at an early stage.

Some Difference Paranormed Sequence Spaces over n-normed Spaces Defined by a Musielak-Orlicz Function

  • Raj, Kuldip;Sharma, Sunil K.;Gupta, Amit
    • Kyungpook Mathematical Journal
    • /
    • v.54 no.1
    • /
    • pp.73-86
    • /
    • 2014
  • In the present paper we introduce difference paranormed sequence spaces $c_0(\mathcal{M},{\Delta}^n_m,p,u,{\parallel}{\cdot},{\cdots},{\cdot}{\parallel})$, $c(\mathcal{M},{\Delta}^n_m,p,u,{\parallel}{\cdot},{\cdots},{\cdot}{\parallel})$ and $l_{\infty}(\mathcal{M},{\Delta}^n_m,p,u,{\parallel}{\cdot},{\cdots},{\cdot}{\parallel})$ defined by a Musielak-Orlicz function $\mathcal{M}$ = $(M_k)$ over n-normed spaces. We also study some topological properties and some inclusion relations between these spaces.

REGULAR BRANCHED COVERING SPACES AND CHAOTIC MAPS ON THE RIEMANN SPHERE

  • Lee, Joo-Sung
    • Communications of the Korean Mathematical Society
    • /
    • v.19 no.3
    • /
    • pp.507-517
    • /
    • 2004
  • Let (2,2,2,2) be ramification indices for the Riemann sphere. It is well known that the regular branched covering map corresponding to this, is the Weierstrass P function. Lattes [7] gives a rational function R(z)= ${\frac{z^4+{\frac{1}{2}}g2^{z}^2+{\frac{1}{16}}g{\frac{2}{2}}$ which is chaotic on ${\bar{C}}$ and is induced by the Weierstrass P function and the linear map L(z) = 2z on complex plane C. It is also known that there exist regular branched covering maps from $T^2$ onto ${\bar{C}}$ if and only if the ramification indices are (2,2,2,2), (2,4,4), (2,3,6) and (3,3,3), by the Riemann-Hurwitz formula. In this paper we will construct regular branched covering maps corresponding to the ramification indices (2,4,4), (2,3,6) and (3,3,3), as well as chaotic maps induced by these regular branched covering maps.