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Quadrature formulas and taylor series of secant and tangent

Author

Listed:
  • Yuri Dimitrov

    (University of Forestry, Sofia)

  • Radan Miryanov

    (University of Economics - Varna)

  • Venelin Todorov

    (Bulgarian Academy of Sciences, IICT, Sofia)

Abstract

Second-order quadrature formulas and their fourth-order expansions are derived from the Taylor series of the secant and tangent functions. The errors of the approximations are compared to the error of the midpoint approximation. Third and fourth order quadrature formulas are constructed as linear combinations of the second-order approximations and the trapezoidal approximation

Suggested Citation

  • Yuri Dimitrov & Radan Miryanov & Venelin Todorov, 2017. "Quadrature formulas and taylor series of secant and tangent," Economics and computer science, Publishing house "Knowledge and business" Varna, issue 4, pages 23-40.
    • Handle: RePEc:kab:journl:y:2017:i:4:p:23-40
    as

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    File URL: http://eknigibg.net/Volume3/Issue4/spisanie-br4-2017_pp.23-40.pdf
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