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For β > 0 and an integer r ≥ 2, denote by $$\tilde H_{\infty ,\beta }^r$$ those 2π-periodic, real-valued functions f on ℝ, which are analytic in Sβ:= {z ∈ ℂ: |Im z| < β} and satisfy the restriction |f(r)(z)|≤1, z ∈ Sβ. The optimal quadrature formulae about information composed of the values of a function and its kth (k = 1, ..., r − 1) derivatives on free knots for the classes ...
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