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Approximation of Functions in H(α; p)-space By Taylor Means
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In 2014, the authors [Mat. Vesnik, 66(1)(2014),46{57], among the other results, obtained the Jackson order: O(n-α) for 0 < α < 1 as the degree of approximation of functions in a subspace of H(α; p), 0 < α ≤ 1, 1 ≤ p ≤ ∞ space. In the present paper, among the other re- sults, we extend the subspace of H(α; p), used earlier by the authors[ibid], to obtain the Jackson order: O(n-α) for 0 < α ≤ 1 and relax the hypothesis imposed upon the functions in H(α; p) space.
Keywords
Generalized Holder metric, Taylor means, Degree of approximation
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