Results 51 to 60 of about 148,063 (266)

On asymptotic behaviors of a specific cubic functional equation and its hyperstability

Demonstratio Mathematica
In this article, the asymptotic behavior and hyperstability of the cubic functional equation f(2x+y)+f(2x−y)=2f(x+y)+2f(x−y)+12f(x) $$f\left(2x+y\right)+f\left(2x-y\right)=2f\left(x+y\right)+2f\left(x-y\right)+12f\left(x\right)$$ are discussed.
Bae Jae-Hyeong, Najati Abbas, Tareeghee Mohammad Amin   +2 more
doaj   +1 more source

Positivity-Preserving Rational Cubic Fractal Interpolation Function Together with Its Zipper Form

Axioms
In this paper, a novel class of rational cubic fractal interpolation function (RCFIF) has been proposed, which is characterized by one shape parameter and a linear denominator.
Shamli Sharma, Kuldip Katiyar, Gadug Sudhamsu, Manjinder Kaur Wratch, Rohit Salgotra   +4 more
doaj   +1 more source

Cubic elliptic functions [PDF]

The Ramanujan Journal, 2006
The cubic elliptic functions referred to in the title of this paper are ones which are analogous to \[ g_1(\theta,q)= \frac 16 + \sum_{1\leq k < \infty} \frac{q^{k}}{1+q^{k}+q^{2k}} \sin(2k \theta) \] which is an elliptic function in \(\theta\) with fundamental periods \(2 \pi\) and \(6\pi \imath t\) where \(q=e^{-2\pi t}\).
openaire   +1 more source

STABILITY OF A CUBIC FUNCTIONAL EQUATION ON GROUPS [PDF]

Bulletin of the Korean Mathematical Society, 2004
The functional equation \[ f(3x+y)+f(3x-y)=3f(x+y)+3f(x-y)+48f(x)\tag{1} \] is considered for functions mapping an abelian group~\(G\) into a~Banach space~\(X\). Since \(f(x)=cx^3\) fulfils~(1), the authors call it a~{cubic functional equation} and any its solution the {cubic function}. The general solution of~(1) is given. It is of the form \(f(x)=F(x,
Park, Kyoo-Hong, Jung, Yong-Soo
openaire   +1 more source

Clinical and Modifiable Factors Associated With Disability and Relapse in MOGAD: A Multicentre Cohort Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Factors associated with relapse course and disability in myelin oligodendrocyte glycoprotein antibody‐associated disease (MOGAD) remain incompletely understood. Objectives To identify clinical and modifiable factors associated with relapse and disability in MOGAD. Methods In this ambispective multicentre cohort study using data from
Yingtao Wang, Shaoxin Tao, Qiujia Wang, Xiaoyu Xu, Hui Yao, Zheng Liu, Dawei Li, Zhandong Qiu, Jinming Han, Jiangwei Xia, Qi Wang, Jun Sun, Kai Shao, Jiao Li, Shishuang Ruan, Yi Zhong, Jun Guo, Shougang Guo, Yue Huang, Guoliang Chai, Tao Jin, Hongyu Zhou, Junwei Hao, Yinan Zhao   +23 more
wiley   +1 more source

Power system harmonic detection based on cubic spline function and Rife-vincent self-convolution window interpolation FFT algorithm

Dianzi Jishu Yingyong, 2018
When using the Fast Fourier Transform(FFT) to perform harmonic analysis on power systems, due to asynchronous sampling and data truncation, fence effect and spectrum leakage will occur, and accurate harmonic parameters cannot be obtained.
Zhang Yingying
doaj   +1 more source

On zeros of cubic L-functions

Journal of Number Theory, 2007
Let \(\omega= (-1+\sqrt{-3})/2\) and let \(c\equiv 1\pmod 9\) be a square-free integer in \(\mathbb{Z}[\omega]\), with \(c\neq 1\). The \(L\)-functions considered in this paper are \(L(s,\chi_c)\), where \(\chi_c= (\cdot/c)_3\) is the cubic residue symbol.
openaire   +2 more sources

Predictive Value of Composite Inflammatory Markers for Stroke Prognosis: A Prospective Cohort Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Novel composite inflammatory markers' role in stroke prognosis is understudied, and the best predictor is unclear, requiring further exploration. Objectives This study aimed to systematically evaluate the associations of 6 novel composite inflammatory markers on stroke prognosis.
Bing Wu, Jie‐Jie Li, Jing Jing, Jin‐Xi Lin, Xia Meng, Yong Jiang, Yong‐Jun Wang, Hong‐Qiu Gu   +7 more
wiley   +1 more source

White Matter and Perivascular Imaging Changes in Alzheimer's Disease and Cerebral Amyloid Angiopathy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Peak‐width of skeletonized mean diffusivity (PSMD) and diffusion tensor imaging–analysis along the perivascular space (DTI‐ALPS), reflecting white matter integrity and glymphatic function, are altered in Alzheimer's disease (AD).
Debina Laishram, Guangwei Du, Sangam Kanekar, Nandakumar Nagaraja   +3 more
wiley   +1 more source

Use of a Molecular Signature Response Classifier to Inform Treatment Selection Improves Clinical Disease Activity Among Patients with Rheumatoid Arthritis Initiating a Biologic or Targeted Synthetic Disease‐Modifying Antirheumatic Drug

Arthritis Care &Research, EarlyView.
Objective We assessed the effectiveness of PrismRA to improve clinical outcomes among patients with rheumatoid arthritis (RA) initiating treatment with a biologic or targeted synthetic disease‐modifying antirheumatic drug (b/tsDMARD). Methods PrismRA incorporated 19 gene expression features and four clinical features to assess a patient's likelihood of
Fenglong Xie, Timothy Beukelman, Nicholas P. McCormick, Jeffrey R. Curtis   +3 more
wiley   +1 more source