Results 31 to 40 of about 430 (61)
The Lower Estimate for Bernstein Operator [PDF]
, 2013 MSC 2010: 41A10, 41A15, 41A25, 41A36For functions belonging to the classes C2[0; 1] and C3[0; 1], we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of ...
Gal, Sorin G., Tachev, Gancho T.
core
The Lebesgue Constant for the Periodic Franklin System
, 2011 We identify the torus with the unit interval $[0,1)$ and let $n,\nu\in\mathbb{N}$, $1\leq \nu\leq n-1$ and $N:=n+\nu$. Then we define the (partially equally spaced) knots \[ t_{j}=\{[c]{ll}% \frac{j}{2n}, & \text{for}j=0,...,2\nu, \frac{j-\nu}{n ...
Passenbrunner, Markus
core +1 more source
Elliptic scaling functions as compactly supported multivariate analogs of the B-splines [PDF]
, 2013 In the paper, we present a family of multivariate compactly supported scaling functions, which we call as elliptic scaling functions. The elliptic scaling functions are the convolution of elliptic splines, which correspond to homogeneous elliptic ...
Zakharov, Victor G.
core
Generalized splines in ℝn and optimal control [PDF]
, 2006 We give a new time-dependent definition of spline curves in ℝn, which extends a recent definition of vector-valued splines introduced by Rodrigues and Silva Leite for the time-independent case.
Rodrigues, R.C., Torres, D.F.M.
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Addendum to : Orthonormal bases of regular wavelets in spaces of homogeneous type
, 2015 We bring a precision to our cited work concerning the notion of "Borel measures", as the choice among different existing definitions impacts on the validity of the results.Comment: 1 page.
Auscher, Pascal, Hytönen, Tuomas
core
On an Extremal Problem concerning Bernstein Operators [PDF]
, 1995 * The second author is supported by the Alexander-von-Humboldt Foundation. He is on leave from: Institute of Mathematics, Academia Sinica, Beijing 100080, People’s Republic of China.The best constant problem for Bernstein operators with respect to the ...
Gonska, Heinz, Zhou, Ding-Xuan
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Prevalence of cognitive impairments and strengths in the early course of psychosis and depression. [PDF]
Psychol Med, 2023 Stainton A +30 more
europepmc +1 more source
Complete graphs: the space of simplicial cones, and their path tree representation
, 2017 Let $G$ be a complete graph with $n+1$ vertices. In a recent paper of the authors, it is shown that the path trees of the graph play a special role in the structure of the truncated powers and partition functions that are associated with the graph ...
Ron, Amos, Shengnan, Wang
core
Mathematical Foundations of Adaptive Isogeometric Analysis. [PDF]
Arch Comput Methods Eng, 2022 Buffa A +4 more
europepmc +1 more source
Univariate spline quasi-interpolants and applications to numerical analysis
, 2005 We describe some new univariate spline quasi-interpolants on uniform partitions of bounded intervals. Then we give some applications to numerical analysis: integration, differentiation and approximation of ...
Sablonnière, Paul
core +2 more sources