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Weighted Approximation by Rational Operators

Results in Mathematics, 2003
In this interesting paper, the author considers Shephard-type rational operators \[ S_n(f; x)= \Biggl[\sum^{n-1}_{k=1}| x- x_k|^{-s} f(x_k)\Biggr]\Biggl/\Biggl[\sum^{n-1}_{k=1}| x- x_k|^{-s}\Biggr] \] for appropriately chosen nodes \(\{x_k\}\) in \([-1,1]\). Let \(\alpha> 0\) and \[ w(x)= (1- x^2)^\alpha,\quad x\in [-1,1]. \] The author establishes the
openaire   +2 more sources

Left approximate identities in algebras of compact operators on Banach spaces

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1986
P. Dixon
semanticscholar   +1 more source

Scalable optical learning operator

Nature Computational Science, 2021
Uğur Teğin   +2 more
exaly  

Laplace neural operator for solving differential equations

Nature Machine Intelligence
Qianying Cao, S. Goswami, G. Karniadakis
semanticscholar   +1 more source

OSQP: an operator splitting solver for quadratic programs

Mathematical Programming Computation, 2020
Bartolomeo Stellato   +2 more
exaly  

Approximation by Operators

1993
Ronald A. DeVore, George G. Lorentz
openaire   +1 more source

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