Abstract
In this paper we give the exact order of\(\sum\nolimits_{k = 1}^{\text{n}} {|{\text{x - x}}_{\text{k}} } |^5 .\) for any fixed nonnegative integers s and t, which is n−s, n−s lnn and n1−t for s≤t−2, s=t−1 and s≥t, respectively.
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Yingguang, S. The exact order of\(\sum\nolimits_{k = 1}^{\text{n}} {|{\text{x - x}}_{\text{k}} } |^8 |{\text{l}}_{\text{k}} ({\text{x)|}}^{\text{t}} \) . Approx. Theory & its Appl. 8, 1–10 (1992). https://doi.org/10.1007/BF02836333
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DOI: https://doi.org/10.1007/BF02836333