Power of Dirichlet kernels and approximation by discrete linear operators $\textit{I}$: direct results

Abstract

The second and third powers of the Dirichlet kernel are used to construct discrete linear operators for the approximation of continuous periodic functions. An estimate of the rate of convergence is given. Approximation of non-periodic functions are also considered.

Keywords

• Discrete linear operators
• rate of convergence
• direct results
• Dirichlet kernel

References

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