On dual Euler-Simpson formulae
Copyright policy )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.
Lipschitz functions, Lipschitzian functions, Numerical quadrature and cubature formulas, Approximate quadratures, dual Euler-Simpson formulae, 26D15, functions of bounded variation, Dual Euler-Simpson formulae, Inequalities for sums, series and integrals, 65D30, quadrature formulae, Dual Euler-Simpson formulae; quadrature formulae; functions of bounded variation; Lipschitzian functions
Lipschitz functions, Lipschitzian functions, Numerical quadrature and cubature formulas, Approximate quadratures, dual Euler-Simpson formulae, 26D15, functions of bounded variation, Dual Euler-Simpson formulae, Inequalities for sums, series and integrals, 65D30, quadrature formulae, Dual Euler-Simpson formulae; quadrature formulae; functions of bounded variation; Lipschitzian functions
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