Approximation of Functions in H(α; p)-space By Taylor Means

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Authors

  • Prem Chandra
     C-315, Vivekanand Nagar, Ujjain-456010, India. Formerly, School of Studies in Mathematics, Vikram University, Ujjain - 456010 ,IN

DOI:

https://doi.org/10.18311/jims/2021/27849

Keywords:

Generalized Holder metric, Taylor means, Degree of approximation
41A25, 42A10, 40G10

Abstract

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.

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Published

2021-06-14

How to Cite

Chandra, P. (2021). Approximation of Functions in <i>H(α; p)</i>-space By Taylor Means. The Journal of the Indian Mathematical Society, 88(3-4), 258–274. https://doi.org/10.18311/jims/2021/27849

Issue

Volume 88, Issue 3-4, July-December 2021

Section

Articles

License

Copyright (c) 2021 Prem Chandra

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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