Results 21 to 30 of about 383 (244)

A note on absolute summability factors

International Journal of Mathematics and Mathematical Sciences, 1994
In this paper, a generalization of a theorem of Mishra and Srivastava [4] on |C,1|k summability factors has been proved.
Hüseyın Bor
doaj   +1 more source

Local properties of Fourier series

International Journal of Mathematics and Mathematical Sciences, 2000
A theorem on local property of |N¯,pn|k summability of factored Fourier series, which generalizes some known results, and also a general theorem concerning the |N¯,pn|k summability factors of Fourier series have been proved.
Hüseyin Bor
doaj   +1 more source

A Theorem on Absolute Summability of Infinite Series

Cumhuriyet Science Journal, 2019
Inthis paper, a theorem on absolute summability of infinite series is obtained bytaking almost increasing sequence instead of positive non-decreasing sequence.Also, some results of absolute summability are given.
Bağdagül Kartal
doaj   +1 more source

Aggressive prostate cancer is associated with pericyte dysfunction

Molecular Oncology, EarlyView.
Tumor‐produced TGF‐β drives pericyte dysfunction in prostate cancer. This dysfunction is characterized by downregulation of some canonical pericyte markers (i.e., DES, CSPG4, and ACTA2) while maintaining the expression of others (i.e., PDGFRB, NOTCH3, and RGS5).
Anabel Martinez‐Romero, Ane Martinez‐Larrinaga, Joaquim Grego‐Bessa, Saioa Garcia‐Longarte, Hielke van Splunder, Ianire Astobiza, Amaia Ercilla, Laura Bozal‐Basterra, Isabel Mendizabal, Pilar Villacampa, Arkaitz Carracedo, Mariona Graupera   +11 more
wiley   +1 more source

Generalized Absolute Riesz Summability of Infinite Series and Fourier Series

International Journal of Analysis and Applications, 2020
In this paper, two known theorems dealing with $|\bar{N},p_{n}|_{k}$ summability of infinite series and Fourier series have been generalized to ${\varphi}-|\bar{N},p_{n};\beta|_{k}$ summability.
Bağdagül Kartal
doaj  

Correlation of the differential expression of PIK3R1 and its spliced variant, p55α, in pan‐cancer

Molecular Oncology, EarlyView.
PIK3R1 undergoes alternative splicing to generate the isoforms, p85α and p55α. By combining large patient datasets with laboratory experiments, we show that PIK3R1 spliced variants shape cancer behavior. While tumors lose the protective p85α isoform, p55α is overexpressed, changes linked to poorer survival and more pronounced in African American ...
Ishita Gupta, Yang Song, Madeleine Ndahayo, Anirudh Saxena, Theresa Guo, Dylan Z. Kelley, Jessica Gore, Andrew Hennigan, Alexa Anderson, John C. Papadimitriou, Daria A. Gaykalova   +10 more
wiley   +1 more source

On Generalized Local Property of $|A;\delta|_{k}$-Summability of Factored Fourier Series

International Journal of Analysis and Applications, 2018
The convergence of Fourier series of a function at a point depends upon the behaviour of the function in the neighborhood of that point and it leads to the local property of Fourier series.
B. B. Jena, Vandana --, S. K. Paikray, U. K. Misra   +3 more
doaj   +2 more sources

A Link between Approximation Theory and Summability Methods via Four-Dimensional Infinite Matrices

Mathematics, 2021
In this study, we present a link between approximation theory and summability methods by constructing bivariate Bernstein-Kantorovich type operators on an extended domain with reparametrized knots.
Hari M. Srivastava, Khursheed J. Ansari, Faruk Özger, Zeynep Ödemiş Özger   +3 more
doaj   +1 more source

Identification of serum protein biomarkers for pre‐cancerous lesions associated with pancreatic ductal adenocarcinoma

Molecular Oncology, EarlyView.
This work identified serum proteins associated with pancreatic epithelial neoplasms (PanINs) and early‐stage PDAC. Proteomics screens assessed genetically engineered mice with abundant PanINs, KPC mice (Lox‐STOP‐Lox‐KrasG12D/+ Lox‐STOP‐Lox‐Trp53R172H/+ Pdx1‐Cre) before PDAC development and also early‐stage PDAC patients (n = 31), compared to benign ...
Hannah Mearns, Jaclyn S. Long, Sergio Lilla, Kelly Hodge, Marcus J. G. W. Ladds, Colin Nixon, Paula Fernández‐Palanca, Sara Zanivan, Pilar Acedo, Stephen P. Pereira, Kevin M. Ryan   +10 more
wiley   +1 more source

Notes on Iterative Summation of Alternating Factorials

Mathematics
The Eulerian iterative method of the summation of divergent series, invented in Institutiones Calculi Differentialis, is studied. We demonstrate that the method is equivalent to the Karamata–Lototsky–Jakimovski summability method, introduced in the 1950s.
Vladimir Kanovei, Vassily Lyubetsky
doaj   +1 more source