Results 71 to 80 of about 4,273,203 (249)

A New Criterion for Borel Summability of Fourier Series

, 1969
The application of Borel summability to Fourier series has been discussed by Takahashi and Wang [8] and Sahney [5]. Sahney [6] and Sinvhal [7] obtained sufficient conditions for the Borel summability of the derived Fourier series and its conjugate series,
P.D. Kathal, B.N. Sahney
core   +1 more source

Some further extensions of absolute Cesàro summability for double series [PDF]

, 2013
In a recent paper [SavaAY and Rhoades in Appl. Math. Lett. 22:1462-1466, 2009], the authors extended the result of Flett [Proc. Lond. Math. Soc. 7:113-141, 1957] to double summability.
Ekrem Savaş, Şevli, Hamdullah, Savaş, Ekrem, Hamdullah Şevli   +3 more
core   +1 more source

Characterizing Cutaneous α‐Synuclein Deposition and Seeding Activity in Parkinson's Disease Subtypes

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Cutaneous phosphorylated α‐synuclein (p‐syn) and α‐synuclein seeding activity are promising biomarkers for Parkinson's disease (PD), but their clinical value remains uncertain due to disease heterogeneity. This study evaluates these two biomarkers in PD patients to inform phenotype‐specific diagnosis and disease severity assessment ...
Yuting Jin, Tianyuan Yang, Minglei Liu, Haiyang Luo, Jing Yuan, Ke Zhang, Xinsheng Han, Jing Yang, Yuming Xu   +8 more
wiley   +1 more source

Long‐Term Neurologic Exam Findings in People Diagnosed and Treated During Acute HIV Infection

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Evaluate clinical and laboratory correlates of abnormal neurologic exam findings after acute HIV infection (AHI). Methods Participants from the RV254/SEARCH 010 cohort in Bangkok underwent standardized neurologic examinations at Weeks 0 (AHI), 12, 96, and 288 following antiretroviral therapy (ART).
Kathryn B. Holroyd, Tyler Hamby, Carlo Sacdalan, Somchai Sriplienchan, Pathariya Promensa, Luxenaree Poonpitak, Netsiri Dumrongpisutikul, Eugène Kroon, Sandhya Vasan, Robert Paul, Ferron O'Campo, Lydie Trautmann, Phillip Chan, Serena Spudich, on behalf of the RV254/SEARCH 010 Study Team, Julie Ake, Sandhya Vasan, Lydie Trautmann, Merlin Robb, Trevor Crowell, Donn Colby, Diane Bolton, Shelly Krebs, Leigh Ann Eller, Morgane Rolland, Rasmi Thomas, Dominic Paquin Proulx, Suteeraporn Pinyakorn, Tyler Hamby, Mark de Souza, Ellen Turk, Amber Moodley, Gerald Quarles, Jintanat Ananworanich, Denise Hsu, Victoria Polonis, Nelson Michael, Sheila Peel, COL Eric Garges, Alexandra Schuetz, Siriwat Akapirat, Bessara Nantapinit, Pornsuk Visudhiphan, Saowanit Getchalarat, Nampueng Churikanont, Sangsulee Thamakaison, Somchai Sriplienchan, Carlo Sacdalan, Pathariya Promsena, Luxe‐naree Poonpitak, Eugene Kroon, Nitiya Chomchey, Jintana Intasan, Varaporn Pothipala, Ferron Ocampo, Nittaya Phanuphak, Nipat Teeratakulpisan, Yuwaree Pichitchok, Anchalee Avihingsanon, Opass Putcharoen, Kiat Ruxrungtham, Thanyawee Puthanakit, Sopark Manasnayakorn, Phandee Watanaboonyongcharoen, Rungsun Rerknimitr, Irini Sereti, Daniel Douek, Eli Bortiz, Frank Maldarelli, Mary Kearney, Serena Spudich, Phillip Chan, Lishomwa Ndhlovu, Guinevere Li, Michael Corley, Victor Valcour, Peter Hunt, Jacob Estes, Afam Okoye, Jeff Lifson, Claire Deleage, Nicolas Chomont, Andres Finzi, Lyle McKinnon, Henrik Zetterberg, Robert Siliciano, Robert Paul, Julie Mannarino, Jonathan Li, John Mellors, Josh Cytkor, Dan Barouch, Michael Seaman, Boris Juelg, Alex Shalek, Timothy Schacker, Ashley Haase, Mario Stevenson, Wenjun Li, Arthur Kim, Sharon Lewin, Adam Carrico, Susana Valente, Fred Hutchinson, Josh Schiffer, Guido Ferrari, Beau Ances, Alberto Bosque, Katharine Bar, Killian Pohl, David Ho, Yaoxing Huang, Michael Busch, Mohamed Abdel‐Mohsen, Johanna Gostner, Brian Agan, Fatah Kashanchi, Greg Laird, Kathryn Holroyd   +118 more
wiley   +1 more source

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

Characterizations of a Banach Space through the Strong Lacunary and the Lacunary Statistical Summabilities

Mathematics, 2020
In this manuscript we characterize the completeness of a normed space through the strong lacunary ( N θ ) and lacunary statistical convergence ( S θ ) of series. A new characterization of weakly unconditionally Cauchy series through N θ
Soledad Moreno-Pulido, Giuseppina Barbieri, Fernando León-Saavedra, Francisco Javier Pérez-Fernández, Antonio Sala-Pérez   +4 more
doaj   +1 more source

Global Rather Than Vertical‐Selective Saccadic Abnormalities in Progressive Supranuclear Palsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To test whether vertical saccades are preferentially affected in Progressive Supranuclear Palsy (PSP). Methods PSP patients (n = 24) were compared to age‐matched controls (n = 94) and two degenerative groups (Alzheimer's disease, n = 20; Lewy body disease, n = 50).
Duy Duan Nguyen, Mark Paine, Soohyun Lee, Amir Fazlollahi, Baibin (Ben) Wang, John D. O'Sullivan, Peter J. Nestor   +6 more
wiley   +1 more source

On some summability factors of infinite series

, 1992
A new theorem concerning some summability factors of infinite series is proved. Other results, some of them known, are also deduced.
W. T. Sulaiman
core   +1 more source

A Note on Generalized |A|k-Summability Factors for Infinite Series

Journal of Inequalities and Applications, 2010
A general theorem concerning the |A|k—summability factors of infinite series has been proved.
Ekrem Savaş
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