Monotonicity and Convexity Properties and Some Inequalities Involving a Generalized Form of the Wallis' Cosine Formula
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 6, Issue 3
Abstract
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, H¨older’s and Young’s inequalities, among other analytical techniques, we establish some new inequalities involving the generalized function.
Authors and Affiliations
Kwara Nantomah
Keywords
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- EP ID EP338479
- DOI 10.9734/ARJOM/2017/36699
- Views 97
- Downloads 0
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