Optimal bounds for complete elliptic integral from the quasi-arithmetic mean and Seiffert-like mean

2023 · doi:10.21203/rs.3.rs-2795274/v1
preprint OA: closed
View at publisher

Abstract

We give the new double inequalities for the quasi-arithmetic mean and Seiffert-like mean. As applications, two new optimal bounds are presented for the complete elliptic integral of the second kind. And numerical comparisons illustrate that some bounds of our results are better than before. AMS(2020) subject Classification: 26E60, 33C75, 26D20.

My notes (saved in your browser only)

Citation neighborhood (no data yet)

We don't have any in-corpus citations linked to this paper yet. The paper's references may be in our DB but unresolved to ``paper_id`` (resolution happens at ingest when the cited DOI matches a row we already have). Run the cross-source citation reconcile pass to retry.

Source provenance

europepmc
last seen: 2026-05-19T01:45:01.086888+00:00