On optimal interval quadrature formulae on classes of differentiable periodic functions

V.F. Babenko (Dnipropetrovsk National University, Institute of Applied Mathematics and Mechanics of NAS of Ukraine), https://orcid.org/0000-0001-6677-1914
D.S. Skorokhodov (Dnipropetrovsk National University), https://orcid.org/0000-0001-8494-5885

Abstract


We solved the problem about the best interval quadrature formula on the class $$$W^r F$$$ of differentiable periodic functions with arbitrary permutation-invariant set $$$F$$$ of derivatives of order $$$r$$$. We proved that the formula with equal coefficients and $$$n$$$ node intervals, which have equidistant middle points, is the best on given class.

References


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DOI: https://doi.org/10.15421/240703

  

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Copyright (c) 2007 V.F. Babenko, D.S. Skorokhodov

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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