Best quadrature formulas for evaluating line integrals of the first kind for certain classes of functions and curves determined by moduli of continuity

DOI10.3103/S1063454115040111zbMath1370.41054MaRDI QIDQ2404735

K. Tukhliev, Mirgand Shabozovich Shabozov

Publication date: 20 September 2017

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

zbMATH Keywords

nodesquadrature formulaerrortrapezoidal formulaline integralrectangle formula

Mathematics Subject Classification ID

Approximate quadratures (41A55)

Cites Work

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• Approximations, widths and optimal quadrature formulae for classes of periodic functions with rearrangements invariant sets of derivatives
• Best quadrature formulas for certain classes of periodic functions
• On best quadrature formulas for evaluating curvilinear integrals for some classes of functions and curves
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• ON THE BEST QUADRATURE FORMULA OF THE FORM $ \sum_{k=1}^np_kf(x_k)$ FOR SOME CLASSES OF DIFFERENTIABLE PERIODIC FUNCTIONS
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• BEST QUADRATURE FORMULAS FOR CLASSES OF DIFFERENTIABLE FUNCTIONS AND PIECEWISE-POLYNOMIAL APPROXIMATION

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