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A fast iteration for uniform approximation

Ferenc Kálovics (1988)

Aplikace matematiky

The paper gives such an iterative method for special Chebyshev approxiamtions that its order of convergence is 2 . Somewhat comparable results are found in [1] and [2], based on another idea.

A function related to a Lagrange-Bürmann series

Paul Bracken (2002)

Czechoslovak Mathematical Journal

An infinite series which arises in certain applications of the Lagrange-Bürmann formula to exponential functions is investigated. Several very exact estimates for the Laplace transform and higher moments of this function are developed.

A general quadrature formula using zeros of spherical Bessel functions as nodes

Riadh Ben Ghanem, Clément Frappier (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

We obtain, for entire functions of exponential type satisfying certain integrability conditions, a quadrature formula using the zeros of spherical Bessel functions as nodes. We deduce from this quadrature formula a result of Olivier and Rahman, which refines itself a formula of Boas.

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