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Summability kernel

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…

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Summability kernel

Nodes16
Edges15
Triples15
Avg. degree1.88
Density0.125
Components1

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Summability kernel

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related to Convolutions · 8
Summability kernel → Fejér, Fejér's, Hardy, If, In, Let, Littlewood, This
related to Examples · 4
Summability kernel → Dirichlet, Poisson, The Fejér, The Landau
is a · 2
Summability kernel → family or sequence of periodic integrable functions satisfying a certain set of properties, sequence
related to Definition · 1
Summability kernel → Let

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Important terminology

displaystyle kernel mathbb summability infty fejér certain kernels definition delta sequence functions analysis satisfies int dt leq uniformly frac every

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Summability kernelis afamily or sequence of periodic integrable functions satisfying a certain set of properties0.90text
Summability kernelis asequence0.90text
Summability kernelrelated to ConvolutionsLet0.60section
Summability kernelrelated to ConvolutionsIf0.60section
Summability kernelrelated to ConvolutionsIn0.60section
Summability kernelrelated to ConvolutionsFejér0.60section
Summability kernelrelated to ConvolutionsFejér's0.60section
Summability kernelrelated to ConvolutionsThis0.60section
Summability kernelrelated to ConvolutionsHardy0.60section
Summability kernelrelated to ConvolutionsLittlewood0.60section
Summability kernelrelated to DefinitionLet0.60section
Summability kernelrelated to ExamplesThe Fejér0.60section

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