ASYMPTOTICALLY OPTIMAL QUADRATURE FORMULAE IN CERTAIN SOBOLEV CLASSES

Ana Avdzhieva; Geno Nikolov

ASYMPTOTICALLY OPTIMAL QUADRATURE FORMULAE IN CERTAIN SOBOLEV CLASSES

Authors

Ana Avdzhieva
Geno Nikolov

Keywords:

asymptotically optimal quadrature formulae, Euler-MacLaurin summation formulae, Peano kernels, Quadrature formulae, Sobolev classes of functions, spline functions

Abstract

We construct sequences of asymptotically optimal quadrature formulae in the Sobolev classes $W^3_p ( 1 \leq p \leq \infty)$ , and $W^4_1$. Sharp error bounds for these quadrature formulae are given.

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Published

2015-12-12

How to Cite

Avdzhieva, A., & Nikolov, G. (2015). ASYMPTOTICALLY OPTIMAL QUADRATURE FORMULAE IN CERTAIN SOBOLEV CLASSES. Ann. Sofia Univ. Fac. Math. And Inf., 102, 145–169. Retrieved from https://ftl5.uni-sofia.bg./index.php/fmi/article/view/68