Discrete Chebyshev-type inequalities are established for sequences of modified Bessel functions of the first and second kind, recognizing that the sums involved are actually Neumann series of modified Bessel functions I ν and K ν . Moreover, new closed integral expression formulae are established for the Neumann series of second type, which occur in the discrete Chebyshev inequalities.
|Title of host publication||Analytic Number Theory, Approximation Theory, and Special Functions|
|Subtitle of host publication||In Honor of Hari M. Srivastava|
|Publisher||Springer New York|
|Number of pages||12|
|ISBN (Print)||1493902571, 9781493902576|
|Publication status||Published - Nov 1 2014|
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