Turan type inequalities for Kratzel functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:388

Article

Baricz, Arpad¹  Jankov, Dragana²  Pogany, Tibor K.³ 

[1] Univ Babes Bolyai, Dept Econ, Cluj Napoca 400591, Romania

[2] Univ Osijek, Dept Math, Osijek 31000, Croatia

[3] Univ Rijeka, Fac Maritime Studies, Rijeka 51000, Croatia

关键词: Kratzel functions;    Modified Bessel functions;    Turan type inequalities;    Complete monotonicity;    Vandermonde determinant;    Turan determinant;    Holder-Rogers and Chebyshev integral inequality;   

DOI  :  10.1016/j.jmaa.2011.09.057

来源: Elsevier

【 摘 要 】

Complete monotonicity, Laguerre and Turin type inequalities are established for the socalled Kratzel function Z(rho)(nu), defined by Z(rho)(nu)(u) = integral(infinity)(0) t(nu-1)e(-t rho - u/t) dt, where u > 0 and rho, nu is an element of R. Moreover, we prove the complete monotonicity of a determinant function of which entries involve the Kratzel function. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free