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Chandra, Prem
- Degree of Approximation of Funcotins in the Holder Metric
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1 School of Studies in Mathematics, Vikram University, Ujjain-456010, IN
1 School of Studies in Mathematics, Vikram University, Ujjain-456010, IN
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The Journal of the Indian Mathematical Society, Vol 53, No 1-4 (1988), Pagination: 99-114Abstract
Let f be a periodic function of period 2π and integrable in the sense of Lebesgue over, [-π, π].- Approximation of Functions in H(α; p)-space By Taylor Means
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Authors
Affiliations
1 C-315, Vivekanand Nagar, Ujjain-456010, India. Formerly, School of Studies in Mathematics, Vikram University, Ujjain - 456010, IN
1 C-315, Vivekanand Nagar, Ujjain-456010, India. Formerly, School of Studies in Mathematics, Vikram University, Ujjain - 456010, IN
Source
The Journal of the Indian Mathematical Society, Vol 88, No 3-4 (2021), Pagination: 258–274Abstract
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 approximationReferences
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