Results 61 to 70 of about 6,431,216 (308)

An extension of a best approximation theorem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
In this paper an extension of a theorem of Prolla is given and several interesting corollaries are derived. Fixed point results are also given in the end.
A. Carbone
doaj   +1 more source

Best simultaneous Lp approximations [PDF]

open access: yesCzechoslovak Mathematical Journal, 1998
The paper deals with simultaneously approximation of \(n\) real-valued functions in \(L_p\). Some previous results concerning the problem in \(L_1\) and \(L_2\) norms and/or in \(L_p\) for a pair of functions \((n=2)\) are generalized.
openaire   +3 more sources

Transcriptional network analysis of PTEN‐protein‐deficient prostate tumors reveals robust stromal reprogramming and signs of senescent paracrine communication

open access: yesMolecular Oncology, EarlyView.
Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice   +16 more
wiley   +1 more source

Best multiplier Approximation in L_(p,∅_n ) (B)

open access: yesAl-Mustansiriyah Journal of Science, 2019
The purpose of this paper is to find best multiplier approximation of unbounded functions in L_(p,∅_n ) –space by using Trigonometric polynomials and by de la Vallee- Poussin operators.
Saheb K. Al-Saidy   +2 more
doaj   +1 more source

Best simultaneous Diophantine approximations. I. Growth rates of best approximation denominators [PDF]

open access: yesTransactions of the American Mathematical Society, 1982
This paper defines the notion of a best simultaneous Diophantine approximation to a vector α \alpha in R n R^n with respect to a norm ‖ ⋅ ‖ \left \| \,\cdot \, \right \| on R n R^n .
openaire   +1 more source

Phenotypic and genotypic characterization of single circulating tumor cells in the follow‐up of high‐grade serous ovarian cancer

open access: yesMolecular Oncology, EarlyView.
Single circulating tumor cells (sCTCs) from high‐grade serous ovarian cancer patients were enriched, imaged, and genomically profiled using WGA and NGS at different time points during treatment. sCTCs revealed enrichment of alterations in Chromosomes 2, 7, and 12 as well as persistent or emerging oncogenic CNAs, supporting sCTC identity.
Carolin Salmon   +9 more
wiley   +1 more source

Average Best m-term Approximation [PDF]

open access: yesConstructive Approximation, 2012
2 ...
openaire   +2 more sources

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

open access: yesMolecular 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   +10 more
wiley   +1 more source

Best approximation in spaces with asymmetric norm

open access: yesJournal of Numerical Analysis and Approximation Theory, 2006
In this paper we shall present some results on spaces with asymmetric seminorms, with emphasis on best approximation problems in such spaces.
Ştefan Cobzaş, Costică Mustăţa
doaj   +2 more sources

The Chebyshev Set Problem in Riesz Space

open access: yesJournal of Function Spaces, 2022
In this paper, we mainly study the best approximation theory in Riesz space, which is not constructed by the norm, but only rely on the order structure.
Shengwei Wu   +4 more
doaj   +1 more source

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