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On dual Euler-Simpson formulae (CROSBI ID 103264)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Dedić, Ljuban ; Matić, Marko ; Pečarić, Josip
On dual Euler-Simpson formulae // Bulletin of the Belgian Mathematical Society Simon Stevin, 8 (2001), 479-504-x
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Dedić, Ljuban ; Matić, Marko ; Pečarić, Josip
engleski
On dual Euler-Simpson formulae
The dual Euler-Simpson formulae are given. A number of inequalities, for functions whose derivatives are either functions of bounded variation or Lipschitzian functions or functions in L_p-spaces, are proved. The results are applied to obtain the error estimates for some quadrature rules.
Dual Euler-Simpson formulae; quadrature formulae; functions of bounded variation; Lipschitzian functions
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