Monotonicity and functional inequalities for the complete p-elliptic integrals
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.04.025
Abstract: Abstract Takeuchi's generalized complete elliptic integrals related to generalized trigonometric functions are of importance in the computation of the generalized pi and in the elementary proof of Ramanujan's cubic transformation. In this paper we generalize… read more here.
Keywords: inequalities complete; elliptic integrals; monotonicity functional; functional inequalities ... See more keywords
Precise bounds for the weighted Hölder mean of the complete p-elliptic integrals
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123388
Abstract: 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… read more here.
Keywords: bounds weighted; mean complete; precise bounds; weighted lder ... See more keywords