函数的逼近阶与可微性

THE RATE OF APPROXIMATION AND THE DIFFERENTIABILITY OF A FUNCTION

本文使用了某些新的思想在更弱的条件下建立了Ｈａｓｓｏｎ和Ｓｈｉｓｈａ在文［２］中获得的同样的结果。特别地，对于ｋ＝２ｎ＋１的情形，我们的结果是完满的．

Using some new idea, the present paper establishes the same result as that of Hasson and Shisha [2] Under some weaker conditions.In particular, in the case k=2n + 1, the result is complete.1991 Mathematics Subject Classification.41A10 41A25 42A10