Results 61 to 70 of about 325 (259)

On the constants associated with a reversible summability matrix [PDF]

Proceedings of the American Mathematical Society, 1957
where Ck (k=O, 1, ) and bkn (k, n=O, 1, ) are constants depending only on A and not on the particular sequence y = {IyYn} chosen. Banach's further statement that { ck } is a bounded sequence was shown to be incorrect by Macphail [3] after Zeller [8] had thrown doubt on the statement.
openaire   +1 more source

Summability of Fourier Series and its Derived Series by Matrix Means

Journal of New Theory, 2019
ThisPaper introduces the concept of matrix operators and establishes two newtheorems on matrix summability of Fourier series and its derived series. theresults obtained in the paper further extend several known results on linearoperators.
Abdelhadi Mohammad Karazon, Mohammad Mahmoud Amer   +1 more
doaj  

Degree of approximation of conjugate of a function belonging to Lip(ξ(t),p) class by matrix summability means of conjugate Fourier series

International Journal of Mathematics and Mathematical Sciences, 2001
We determine the degree of approximation of conjugate of a function belonging to Lip(ξ(t),p) class by matrix summability means of a conjugate series of a Fourier series.
Shyam Lal, Hare Krishna Nigam
doaj   +1 more source

Stage‐Dependent β‐Synuclein Links MRI and Cognitive Decline in Alzheimer's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Synaptic degeneration drives cognitive decline in Alzheimer's disease (AD), but synaptic biomarkers are scarce. Brain‐enriched β‐synuclein emerged as a synaptic damage marker. We investigated its diagnostic, prognostic, and structural correlates across the AD continuum.
Ulaş Ay, Merve Alaylioglu, Erdi Sahin, Sanem Sultan Yoruk Oner, Gulce Iskan, Gulce Cosku Yilmaz Cakan, Gozde Kizilates‐Evin, Emre Hari, Elif Kurt, Erdinc Dursun, Basar Bilgic, Hasmet Hanagasi, Hakan Gurvit, Tamer Demiralp, Duygu Gezen‐Ak, Bedia Samanci   +15 more
wiley   +1 more source

Arterial Spin‐Labeling MRI at the Cortical‐CSF Interface: A Novel Biomarker in Alzheimer Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background/Objective Arterial spin‐labeling (ASL) MRI can measure perfusion signal adjacent to CSF spaces and may provide information regarding CSF‐adjacent water transport physiology. We developed an automated pipeline to extract cortical‐CSF interface (IF) perfusion for comparison between Alzheimer disease (AD) and cognitively normal ...
Mona Asghariahmadabad, Pouya Metanat, Michael Thomas, Luke W. Bonham, Tyson Lam, Mehmet Kurt, Hong Nguyen, Tara Ellingson, Mauro Zucchelli, Stefano Casagranda, Quin Lu, Andreas M. Rauschecker, Leo Sugrue, Luis E. Savastano, Christopher P. Hess, Kamalini Ranasinghe, S. Andrew Josephson, Bruce L. Miller, Jennifer S. Yokoyama, Gil D. Rabinovici, Peter A. Ljubenkov, Lawren VandeVrede, Kambiz Nael   +22 more
wiley   +1 more source

Fundamental theorems of summability theory for double sequences via stretching by blocks

Journal of Inequalities and Applications
This paper extends fundamental theorems of summability theory to double sequences using stretching by blocks technique. We prove Steinhaus- and Buck-type theorems for double sequences, characterizing sequences that resist summability by RH-regular ...
Sami M. Hamid, Richard F. Patterson
doaj   +1 more source

The T-statistically convergent sequences are not an FK-space

International Journal of Mathematics and Mathematical Sciences, 1995
In ths note show that under certain restrictions on a nonnegative regular summability matrix T, the space of T-statistically convergent sequences cannot be endowed with locally convex FK topology.
Jeannette Kline
doaj   +1 more source

Transpose of Nörlund matrices on the domain of summability matrices

Journal of Inequalities and Applications, 2019
Let E=(En,k)n,k≥0 $E=(E_{n,k})_{n,k\geq 0}$ be an invertible summability matrix with bounded absolute row sums and column sums, and let Ep $E_{p}$ denote the domain of E in the sequence space ℓp $\ell _{p}$ (1 ...
Gholamreza Talebi
doaj   +1 more source

Differential Item Functioning on the Patient Health Questionnaire 8 by Disease Subtype, Language, Sex, and Age Among People With Systemic Sclerosis: A Scleroderma Patient‐Centered Intervention Network Cohort Study

Arthritis Care &Research, EarlyView.
Objective Somatic items used in depression assessments can potentially overlap with symptoms related to physical illness, including systemic sclerosis (SSc). No studies have looked at whether somatic depression items may be influenced by diffuse versus limited SSc disease subtypes, which are associated with varying degrees of symptom presentation.
Sophie Hu, Marie‐Eve Carrier, Marie‐Claude Geoffroy, Meira Golberg, Linda Kwakkenbos, Susan J. Bartlett, Catherine Fortuné, Amy Gietzen, Karen Gottesman, Geneviève Guillot, Laura K. Hummers, Amanda Lawrie‐Jones, Vanessa L. Malcarne, Michelle Richard, Maureen Sauvé, Luc Mouthon, Andrea Benedetti, Brett D. Thombs, on behalf of the SPIN Investigators, Claire E. Adams, Marie Hudson, Maureen D. Mayes, James Stempel, Robyn K. Wojeck, Christian Agard, Laurent Alric, Marc André, Floryan Beaslay, Elana J. Bernstein, Sabine Berthier, Lyne Bissonnette, Sophie Blaise, Eva Bories, Alessandra Bruns, Carlotta Cacciatore, Patricia Carreira, Marion Casadevall, Benjamin Chaigne, Lorinda Chung, Benjamin Crichi, Thylbert Deltombe, Christopher P. Denton, Tannvir Desroche, Robyn Domsic, James V. Dunne, Bertrand Dunogue, Regina Fare, Dominique Farge‐Bancel, Paul R. Fortin, Tracy Frech, Loraine Gauzère, Anne Gerber, Jessica K. Gordon, Brigitte Granel‐Rey, Aurélien Guffroy, Geneviève Gyger, Eric Hachulla, Daphna Harel, Monique Hinchcliff, Sabrina Hoa, Michael Hugues, Alena Ikic, Sindhu R. Johnson, Nader Khalidi, Kimberly S. Lakin, Marc Lambert, Maggie Larche, David Launay, Yvonne C. Lee, Paul Legendre, Catarina Leite, Hélène Maillard, Nancy Maltez, Joanne Manning, Isabelle Marie, Maria Martin Lopez, Thierry Martin, Ariel Masetto, Arsène Mekinian, Sheila Melchor Díaz, Morgane Mourguet, Christelle Nguyen, Karen Nielsen, Mandana Nikpour, Louis Olagne, Vincent Poindron, Janet Pope, Susanna Proudman, Grégory Pugnet, Loïc Raffray, François Rannou, Alexis Régent, Frederic Renou, Sébastien Rivière, David Robinson, Esther Rodríguez Almazar, Tatiana Sofia Rodríguez‐Reyna, Sophie Roux, Perrine Smets, Vincent Sobanski, Robert F. Spiera, Virginia Steen, Evelyn Sutton, Carter Thorne, Damien Vagner, John Varga, Pearce Wilcox, Vanessa Cook, Cassidy Dal Santo, Monica D'Onofrio, Elsa‐Lynn Nassar   +110 more
wiley   +1 more source

Perceived Impacts and Predictors of Cannabis Products Used by Patients with Rheumatologic Conditions in Alberta, Canada: A Multivariable Analysis of Cross‐Sectional Survey Data

Arthritis Care &Research, EarlyView.
Objective This study aimed to characterize cannabis product choices (cannabinoid content and formulation) among patients with rheumatologic conditions and their associations with patient factors, patient‐reported perceived side effects, and positive impacts.
Susan Zhang, Samuel A.J. Lowe, Frank Sun, Allyson Jones, Tarek Turk, Joanne Olson, Pauline Paul, Shelby Yamamoto, Linda Kolewaski, Elaine Yacyshyn, Cheryl A. Sadowski   +10 more
wiley   +1 more source