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

Issue

Vol. 102 (2015): Ann. Sofia Univ. Fac. Math and Inf.

Section

Articles

How to Cite

ASYMPTOTICALLY OPTIMAL QUADRATURE FORMULAE IN CERTAIN SOBOLEV CLASSES. (2015). Annual of Sofia University St. Kliment Ohridski. Faculty of Mathematics and Informatics, 102, 145-169. https://annual.uni-sofia.bg/index.php/fmi/article/view/68