Improvement of convergence rate for the Móricz process
Tóm tắt
In 2003, F. Móricz proved that the jumps of a periodic function at its simple discontinuities can be determined by its conjugate Abel-Poisson mean. Later Q. L. Shi and X. L. Shi introduced the concentration factors method of Abel-Poisson type and established a criterion for functions that satisfied a condition of Dini type. For piecewise smooth functions the convergence rate of this method is usually faster then Móricz Process. In this paper we establish a new criterion for concentration factors without the condition of Dini type.
Tài liệu tham khảo
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