期刊:Indian Journal of Pure & Applied Mathematics日期:2021-06-14卷期号:: 1-14被引量:17
标识
DOI:10.1007/s13226-021-00016-9
摘要
This paper deals with the arc lemniscate functions from the point view of bivariate means which have been introduced in [1]. In this study, several optimal bounds for these bivariate means in terms of arithmetic, geometric and quadratic means are established. As a consequence, new bounds for the arc lemniscate functions are also derived, which improve some previously known results.