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2009/74/1-2 (7) — DOI: 10.5486/PMD.2009.4319 — pp. 107-126

Sharp Jordan-type inequalities for Bessel functions

Authors: Árpád Baricz and Shanhe Wu

Abstract:

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Keywords: Bessel functions, modified Bessel functions, spherical Bessel functions, modified spherical Bessel functoins, Jordan-type inequalities, Kober-type inequalities, monotone form of l'Hospital's rule, Cauchy mean value theorem, circular functions, hyperbolic functions, Taylor theorem with Lagrange's form of the remainder

Mathematics Subject Classification: 33C10, 33C15, 26D05, 26D07