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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.

A note on one of the Bernstein theorems

Jiří Brabec (1993)

Mathematica Bohemica

One of the Bernstein theorems that the class of bounded functions of the exponential type is dense in the space of bounded and uniformly continuous functions. This theorem follows from a convergence theorem for some interpolating operators on the real axis.

A note on regularly asymptotic points

Jiří Jelínek (1996)

Commentationes Mathematicae Universitatis Carolinae

A condition of Schmets and Valdivia for a boundary point of a domain in the complex plane to be regularly asymptotic is ameliorated.

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