Results 61 to 70 of about 6,192,333 (278)

On the order of convolution consistence of the analytic functions with negative coefficients [PDF]

Mathematica Bohemica, 2017
Making use of a modified Hadamard product, or convolution, of analytic functions with negative coefficients, combined with an integral operator, we study when a given analytic function is in a given class. Following an idea of U. Bednarz and J. Sokół, we
Grigore S. Sălăgean, Adela Venter
doaj   +1 more source

MEAN VALUES AND MEAN-CONVOLUTION PRODUCTS

Kyushu Journal of Mathematics, 1996
This paper is concerned with mean values and mean convolution products for bounded measurable functions on \(R^m\). These are computed with respect to a weight function \(h(x)\), which is nonnegative and has the unit mass. The limit \(M(h,f)\) of \((1/L^m)I[h((x-y)/L)f(y)]\), as \(L\) goes to infinity, when it exists independently of \(x\), is the mean
openaire   +2 more sources

Development of a Prediction Model for Progression Risk in High‐Grade Gliomas Based on Habitat Radiomics and Pathomics

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To investigate the value of constructing models based on habitat radiomics and pathomics for predicting the risk of progression in high‐grade gliomas. Methods This study conducted a retrospective analysis of preoperative magnetic resonance (MR) images and pathological sections from 72 patients diagnosed with high‐grade gliomas (52 ...
Yuchen Zhu, Yuxi Gong, Weilin Xu, Xingjian Sun, Gefei Jiang, Lei Qiu, Kexin Shi, Mengxing Wu, Yinjiao Fei, Jinling Yuan, Jinyan Luo, Yurong Li, Yuandong Cao, Minhong Pan, Shu Zhou   +14 more
wiley   +1 more source

Conditional Fourier-Feynman Transforms with Drift on a Function Space

Journal of Function Spaces, 2019
In this paper we derive change of scale formulas for conditional analytic Fourier-Feynman transforms and conditional convolution products of the functions which are the products of generalized cylinder functions and the functions in a Banach algebra ...
Dong Hyun Cho, Suk Bong Park
doaj   +1 more source

Functional and Structural Evidence of Neurofluid Circuit Aberrations in Huntington Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Disrupted neurofluid regulation may contribute to neurodegeneration in Huntington disease (HD). Because neurofluid pathways influence waste clearance, inflammation, and the distribution of central nervous system (CNS)–delivered therapeutics, understanding their dysfunction is increasingly important as targeted treatments emerge.
Kilian Hett, Abigail Dubois, Melanie Leguizamon, Alexander Song, Paula Trujillo, Colin D. McKnight, Ciaran M. Considine, Manus J. Donahue, Daniel O. Claassen   +8 more
wiley   +1 more source

Aumann Fuzzy Improper Integral and Its Application to Solve Fuzzy Integro-Differential Equations by Laplace Transform Method

Advances in Fuzzy Systems, 2018
We introduce the Aumann fuzzy improper integral to define the convolution product of a fuzzy mapping and a crisp function in this paper. The Laplace convolution formula is proved in this case and used to solve fuzzy integro-differential equations with ...
Elhassan Eljaoui, Said Melliani, L. Saadia Chadli   +2 more
doaj   +1 more source

TBK1‐Associated Primary Lateral Sclerosis Followed by Right Temporal Variant Frontotemporal Dementia

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT We report a 58‐year‐old woman with a novel splice‐site variant in the TANK‐binding kinase 1 (TBK1:c.993–2A>C p.Ala332TyrfsTer39) who sequentially developed primary lateral sclerosis (PLS) followed by right temporal variant frontotemporal dementia (rtvFTD). Neuroimaging demonstrated right anterior temporal atrophy before cognitive symptoms, and
Tomoyasu Matsubara, Naoki Kihara, Satoko Miyatake, Koji Fujita, Konoka Tachibana, Ryosuke Miyamoto, Hiroki Yamazaki, Yusuke Osaki, Nazere Keyoumu, Yuki Kuwano, Nobutoshi Morimoto, Suzuran Saito, Eriko Koshimizu, Yoichi Otomi, Kenji Ishibashi, Masafumi Harada, Naomichi Matsumoto, Hiroyuki Morino, Yuishin Izumi   +18 more
wiley   +1 more source

Conditionally convergent integrals of convolution products.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1986
On the subject of multiplication of series, a great deal of work has been done, investigating the extent to which the Cauchy product \(\sum c_ n\) of two series \(\sum a_ n\) and \(\sum b_ n\) will converge to \((\sum a_ n)(\sum b_ n).\) In this work some of the classical results are sharpened, generalized and presented in an abstract setting in terms ...
openaire   +2 more sources

Baseline Regional Cholinergic Denervation Predicts Cognitive Trajectories in Moderate Parkinson Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Cognitive decline is a disabling and variable feature of Parkinson disease (PD). While cholinergic system degeneration is linked to cognitive impairments in PD, most prior research reported cross‐sectional associations. We aimed to fill this gap by investigating whether baseline regional cerebral vesicular acetylcholine transporter ...
Taylor Brown, Giulia Carli, Prabesh Kanel, Stiven Roytman, Jaimie Barr, Nicolaas I. Bohnen, Roger L. Albin   +6 more
wiley   +1 more source

Inclusion Properties for Certain Classes of Meromorphic Functions Associated with a Family of Linear Operators

Journal of Inequalities and Applications, 2009
The purpose of the present paper is to investigate some inclusion properties of certain classes of meromorphic functions associated with a family of linear operators, which are defined by means of the Hadamard product (or convolution).
Nak Eun Cho
doaj   +2 more sources