Results 61 to 70 of about 6,431,216 (308)
An extension of a best approximation theorem
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
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Best simultaneous Lp approximations [PDF]
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.
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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
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Best multiplier Approximation in L_(p,∅_n ) (B)
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
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Best simultaneous Diophantine approximations. I. Growth rates of best approximation denominators [PDF]
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 .
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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
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Average Best m-term Approximation [PDF]
2 ...
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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
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Best approximation in spaces with asymmetric norm
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
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The Chebyshev Set Problem in Riesz Space
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
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