Results 191 to 200 of about 789 (216)
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ON BEST AND OPTIMAL QUADRATURE FORMULAS ON CLASSES OF BOUNDED ANALYTIC FUNCTIONS
Mathematics of the USSR-Izvestiya, 1989See the review in Zbl 0647.30033.
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A Class of Optimal Quadrature Formulae
IMA Journal of Numerical Analysis, 1983Raina, B. L., Kaul, N.
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Optimal Quadrature Formulae for Periodic Functions
1974We consider \( {\tilde H_\beta }: = \left\{ {f\left| {2\pi - } \right.} \right. \) periodic, holomorphic in a strip of width 2β, real on ℝ with \( {\left| f \right|_\beta }: = \mathop {\sup }\limits_{\left| y \right| < \beta } \left| {\operatorname{Re} f\left( {x + iy} \right)} \right| < \infty \} \) and \( \tilde H_\beta ^1 = \left\{ {f \in {{\tilde H}
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On the existence of optimal quadrature formulae for smooth functions
Calcolo, 1979A general method showing the existence of optimal quadrature formulae with preassigned multiplicities of the nodes for classes of smooth functions is demonstrated. The main result is applied to the Hardy spaceH ∞ of analytic functions.
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Widths and optimal quadrature formulas for convolution classes
Ukrainian Mathematical Journal, 1991We compute Kolmogorov widths in the space L1 for classes of periodic functions representable in the form of a kernel convolution that does not increase the number of sign changes with values in a given transposition invariant set of functions, and solve the optimization problem for quadrature formulas in these classes.
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Optimal quadrature formula in space
Applied Numerical Mathematics, 2012Kh.M. Shadimetov +2 more
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An optimal quadrature formula of closed type
Yokohama mathematical journal, 2003An optimal 3-point quadrature formula of closed type is derived. The optimality is considered with respect to a given way of estimation of its error.
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