About: Summability kernel

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In mathematics, a summability kernel is a family or sequence of periodic integrable functions satisfying a certain set of properties, listed below. Certain kernels, such as the Fejér kernel, are particularly useful in Fourier analysis. Summability kernels are related to approximation of the identity; definitions of an approximation of identity vary, but sometimes the definition of an approximation of the identity is taken to be the same as for a summability kernel.

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  • En analyse mathématique, un noyau de sommabilité est une famille de fonctions intégrables, vérifiant certaines conditions suffisantes qui en font une unité approchée. (fr)
  • In mathematics, a summability kernel is a family or sequence of periodic integrable functions satisfying a certain set of properties, listed below. Certain kernels, such as the Fejér kernel, are particularly useful in Fourier analysis. Summability kernels are related to approximation of the identity; definitions of an approximation of identity vary, but sometimes the definition of an approximation of the identity is taken to be the same as for a summability kernel. (en)
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  • En analyse mathématique, un noyau de sommabilité est une famille de fonctions intégrables, vérifiant certaines conditions suffisantes qui en font une unité approchée. (fr)
  • In mathematics, a summability kernel is a family or sequence of periodic integrable functions satisfying a certain set of properties, listed below. Certain kernels, such as the Fejér kernel, are particularly useful in Fourier analysis. Summability kernels are related to approximation of the identity; definitions of an approximation of identity vary, but sometimes the definition of an approximation of the identity is taken to be the same as for a summability kernel. (en)
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  • Noyau de sommabilité (fr)
  • Summability kernel (en)
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