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By employing a refined version of the P\'olya type integral inequality and other techniques, the authors establish some inequalities and absolute monotonicity for modified Bessel functions of the first kind with nonnegative integer order.
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참고문헌 (23)
참고문헌 신청
M. Abramowitz / 1972 / Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards / Dover Publications
R. P. Agarwal / 1996 / An application of Hayashi inequality for differentiable functions / Comput. Math. Appl 32(6):95~99
A. Baricz / 2010 / Bounds for modified Bessel functions of the first and second kinds / Proc. Edinb. Math. Soc 53(3):575~599
A. Baricz / 2010 / Generalized Bessel Functions of the First Kind, Lecture Notes in Mathematics 1994 / Springer-Verlag
P. Cerone / 2000 / Lobatto type quadrature rules for functions with bounded derivative / Math. Inequal. Appl 3(2):197~209
R. P. Agarwal / 1996 / An application of Hayashi inequality for differentiable functions / Comput. Math. Appl 32(6):95~99
A. Baricz / 2010 / Bounds for modified Bessel functions of the first and second kinds / Proc. Edinb. Math. Soc 53(3):575~599
A. Baricz / 2010 / Generalized Bessel Functions of the First Kind, Lecture Notes in Mathematics 1994 / Springer-Verlag
P. Cerone / 2000 / Lobatto type quadrature rules for functions with bounded derivative / Math. Inequal. Appl 3(2):197~209
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