Precise bounds for the weighted Hölder mean of the complete p-elliptic integrals - ScienceDirect
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Monotonicity properties and bounds for the complete p-elliptic integrals | Journal of Inequalities
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Asymptotically sharp bounds for the complete p-elliptic integral of the first kind Ti-Ren Huang, Lu
Chen and Yu-Ming Chu 1. Intr Page 1 Hokkaido Mathematical Journal Vol. 51 (2022) p …

The authors obtain some monotonicity and concavity properties, and asymptotically sharp
bounds for the generalized elliptic integral K a (r) of the first kind and its special case K (r) …

This paper deals with the monotonicity and concavity properties of certain functions
involving the Gaussian hypergeometric function. With these results, we not only obtain sharp …

We prove that, for p∈(1,∞) and β∈ R, the function x↦ β− log⁡ 1− xp K p (xp) is strictly
concave on (0, 1) if and only if β≥ λ (p):= 2 p (p 2− 2 p+ 2)(p− 1)(2 p 2− 3 p+ 3), where K p …

In the article, we establish some monotonicity properties for certain functions involving the
complete p-elliptic integrals of the first and second kinds, and find several sharp bounds for …

This paper deals with the complete integral of the second kind E (r) approximated by the
weighted Hölder mean. In general, there are two ways to be considered. One is to find the …

For a∈(0, 1/2] and r∈(0, 1), let 𝒦 ₐ (r)(𝒦 (r)) denote the generalized elliptic integral
(complete elliptic integral, respectively) of the first kind. In this article, we mainly present a …

Monotonicity, convexity and inequalities involving zero-balanced Gaussian hypergeometric
function Page 1 http://www.aimspress.com/journal/Math AIMS Mathematics, 7(7): 12471–12482 …