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Asymptotically optimal definite quadrature formulae of $4$-th order

We construct several sequences of asymptotically optimal definite quadrature formulae of fourth order and evaluate their error constants. Besides the asymptotical optimality, an advantage of our quadrature formulae is the explicit form of their weights and nodes. For the remainders of our quadrature formulae monotonicity properties are established when the integrand is a 4-convex function, and a-posteriori error estimates are proven.

preprint2016arXivOpen access
Ana AvdzhievaGeno Nikolov
math.NA
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Open access2 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Ana AvdzhievaGeno Nikolov

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