Precise bounds for the weighted Hölder mean of the complete p-elliptic integrals
By Miao-Kun Wang, Hong-Hu Chu, Y. Chu. 2019
70 citations recorded by the source corpus.
Abstract In the article, we present the best possible bounds for the weighted Holder mean of the complete p-elliptic integrals of the first and second kinds, which are the generalizations of the previously results for the complete elliptic integrals.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/5176cd85ca91d957a1d983378b28bac9b9f631ba
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- Sharp Bounds for the Weighted Hölder Mean of the Zero-Balanced Generalized Complete Elliptic Integrals (2020, background): “Then the zero-balanced generalized complete elliptic integrals Ka,b and Ea,b [12,19,27] of the first and second kinds are respectively defined by Ka,b = Ka,b(r) = B(a, b) 2 F(a, b; a + b; r2)”
- Answers to three conjectures on convexity of three functions involving complete elliptic integrals of the first kind (2020, background): “Because of the great importance of these integrals, Vourinen and his collaborators initiated an independent subject to study the complete elliptic integrals and their related special functions, numerous new properties and inequalities involving K(r) and E(r) have been obtained in recent years [16, 1”
- Sharp bounds for the Toader mean of order 3 in terms of arithmetic, quadratic and contraharmonic means (2020, background): “is the complete elliptic integral of the second kind [12,18,30,38,44,50,52] and it is the special case of the Gaussian hypergeometric function [31,41,42,49,57]”