Monotonicity and Convexity Properties and Some Inequalities Involving a Generalized Form of the Wallis' Cosine Formula
Asian Research Journal of Mathematics · pp. 1–10 · Published 25 Sep 2017
10.9734/ARJOM/2017/36699Abstract
This study is focused on monotonicity and convexity properties of a generalized form of the Wallis’ cosine formula. Specifically, by using the integral form of the Nielsen’s β-function, we prove that the generalized Wallis’ cosine formula is logarithmically completely monotonic, logarithmically convex and decreasing. Furthermore, by using the classical Wendel’s, Hölder’s and Young’s inequalities, among other analytical techniques, we establish some new inequalities involving the generalized function.
Cited by 3
Li Yin, Li-Guo Huang, Zhi-Min Song · Journal of Inequalities and Applications · 2018
Kwara Nantomah · Communications in Mathematics and Applications · 2019
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