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1.15.E23

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MaRDI QIDQ534

  • Label: 1.15.E23


Digital Library of Mathematical Functions ID 1.15.E23

σ n ⁢ ( θ ) = 1 2 ⁢ π ⁢ ∫ 0 2 ⁢ π K n ⁢ ( θ - t ) ⁢ f ⁢ ( t ) ⁢ d t . subscript 𝜎 𝑛 𝜃 1 2 𝜋 subscript superscript 2 𝜋 0 subscript 𝐾 𝑛 𝜃 𝑡 𝑓 𝑡 𝑡 {\displaystyle{\displaystyle\sigma_{n}(\theta)=\frac{1}{2\pi}\int^{2\pi}_{0}K_% {n}(\theta-t)f(t)\mathrm{d}t.}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • K n ⁢ ( θ ) subscript 𝐾 𝑛 𝜃 {\displaystyle{\displaystyle K_{n}(\theta)}} : Fejér kernel (locally)
  • σ n ⁢ ( θ ) subscript 𝜎 𝑛 𝜃 {\displaystyle{\displaystyle\sigma_{n}(\theta)}} : Cesàro mean (locally)
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