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Finitely defined functionals and divided differences
Journal of Numerical Analysis and Approximation Theory, 2004 We give a necessary and sufficient condition for representing finitely defined functionals in terms of divided differences. As particular cases we obtain formulas of Tiberiu Popoviciu, Newton, etc.
Mircea Ivan
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Further Properties of Quantum Spline Spaces
Mathematics, 2020 We construct q-B-splines using a new form of truncated power functions. We give basic properties to show that q-B-splines form a basis for quantum spline spaces.
Gülter Budakçı, Halil Oruç
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A divided difference expansion of a divided difference
Journal of Approximation Theory, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Sickle Cell Disease Is an Inherent Risk for Asthma in a Sibling Comparison Study
Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction Sickle cell disease (SCD) and asthma share a complex relationship. Although estimates vary, asthma prevalence in children with SCD is believed to be comparable to or higher than the general population. Determining whether SCD confers an increased risk for asthma remains challenging due to overlapping symptoms and the ...
Suhei C. Zuleta De Bernardis +9 more
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Journal of Mathematical Analysis and Applications, 1995 Let \(f\) be \(C^{2n}\) on the positive half line with nonzero \(2n\)th derivative and let \(L_ n\) be the limit of the \((2n- 1)\)st divided difference when \(n\) variables tend to \(a\) and \(n\) to \(b\). This paper examines which mean values of \(a\) and \(b\), substituted into \((1/(2n- 1)!) f^{(2n- 1)}\), give \(L_ n\). In much of the paper \(f(x)
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Pediatric Blood &Cancer, EarlyView.ABSTRACT We sought to identify potential early risk biomarkers for lung disease in children post‐allogeneic HCT. Patients with pulmonary function tests 3 months post‐transplant and plasma samples between days 7 and 14 post‐HCT were included. Six of 27 subjects enrolled had reduced forced expiratory volume 1 (FEV1) z scores.
Isabella S. Small +3 more
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Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators
Algorithms, 2015 This paper is devoted to the semilocal convergence, using centered hypotheses, of a third order Newton-type method in a Banach space setting. The method is free of bilinear operators and then interesting for the solution of systems of equations.
Sergio Amat +3 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background The Improving Population Outcomes for Renal Tumours of childhood (IMPORT) is a prospective clinical observational study capturing detailed demographic and outcome data on children and young people diagnosed with renal tumours in the United Kingdom and the Republic of Ireland.
Naomi Ssenyonga +56 more
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A Divided Difference Operator [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We construct a divided difference operator using GKM theory. This generalizes the classical divided difference operator for the cohomology of the complete flag variety. This construction proves a special case of a recent conjecture of Shareshian and Wachs.
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction We developed MedSupport, a multilevel medication adherence intervention designed to address root barriers to medication adherence. This study sought to explore the feasibility and acceptability of the MedSupport intervention strategies to support a future full‐scale randomized controlled trial.
Elizabeth G. Bouchard +8 more
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