Partial reciprocal sums of the Mathieu series.
It is well known that the Mathieu series has a wide application in mathematics science. In this paper, we use the elementary method and construct some new inequalities to study the computational problem of the partial reciprocal sums related to the Mathieu series and obtain an interesting inequality and a related identity.
School of Mathematics, Northwest University, Xi'an, Shaanxi P.R. China.
Xin
X
Lin
Mathieu series; elementary method; reciprocal sums