Absolutely (completely) monotonic functions and Jordan-type inequalities
نویسندگان
چکیده
منابع مشابه
Jordan-type Inequalities for Generalized Bessel Functions
In this note our aim is to present some Jordan-type inequalities for generalized Bessel functions in order to extend some recent results concerning generalized and sharp versions of the well-known Jordan’s inequality. Acknowledgements: Research partially supported by the Institute of Mathematics, University of Debrecen, Hungary. The author is grateful to Prof. Lokenath Debnath for a copy of pap...
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has been in the focus of these studies and many refinements have been proved for it by Wu and Srivastava 9, 10 , Zhang et al. 11 , J.-L. Li and Y.-L. Li 5, 12 , Wu and Debnath 13–15 , Özban 16 , Qi et al. 17 , Zhu 18–29 , Sándor 30, 31 , Baricz and Wu 32, 33 , Neuman and Sándor 34 , Agarwal et al. 35 , Niu et al. 36 , Pan and Zhu 37 , and Qi and Guo 38 . For a long list of recent papers on this...
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If, in addition, f(x) is continuous at x = a, then it is called completely monotonic over [a, b), with similar definitions for (a, b] and [a, b]. A function is absolutely monotonic if all its derivatives are non-negative. A detailed study of these concepts can be found, for example, in [11, Chapter IV]. Our chief concern here is for the standard case in which a = 0, b = + 00. For this, S. N. Be...
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متن کاملSome completely monotonic functions of positive order
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2012
ISSN: 0893-9659
DOI: 10.1016/j.aml.2011.09.061