A general form of Jordan-type double inequality for the generalized and normalized Bessel functions
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摘要
In this note, a general form of Jordan-type double inequality involving the generalized and normalized Bessel functions is presented, and then some recent results concerning generalized and sharp work of Jordan’s inequality are extended. At the same time, the applications of the results above give two new infinite series for sinx/x and sinhx/x.
论文关键词：Lower and upper bounds,Best constant,A general form of Jordan-type double inequality,The generalized and normalized Bessel functions,The Spherical Bessel Functions (SBFs),The SBFs of the first kind jn(x)=π2xJn+12(x),The Modified Spherical Bessel Functions (MSBFs),The MSBFs of the first kind in(x)=π2xIn+12(x),Two new infinite series for sinx/x and sinhx/x
论文评审过程：Available online 2 December 2009.
论文官网地址：https://doi.org/10.1016/j.amc.2009.11.020
