Bessel-type inequalities in HilbertC*-modules

Bessel Type Inequalities in Hilbert C-modules

X iv :0 90 5. 40 67 v1 [ m at h. FA ] 2 5 M ay 2 00 9 BESSEL TYPE INEQUALITIES IN HILBERT C-MODULES S. S. DRAGOMIR, M. KHOSRAVI AND M. S. MOSLEHIAN Abstract. Regarding the generalizations of the Bessel inequality in Hilbert spaces which are due to Bombiari and Boas–Bellman, we obtain a version of the Bessel inequality and some generalizations of this inequality in the framework of Hilbert C∗-mo...

Bessel and Grüss Type Inequalities in Inner Product Modules over Banach -Algebras

Turán Type Inequalities for General Bessel Functions

In this paper some Turán type inequalities for the general Bessel function, monotonicity and bounds for its logarithmic derivative are derived. Moreover we find the series representation and the relative extrema of the Turánian of general Bessel functions. The key tools in the proofs are the recurrence relations together with some asymptotic relations for Bessel functions.

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...

Sharp Becker-Stark-Type Inequalities for Bessel Functions

Ling Zhu Department of Mathematics, Zhejiang Gongshang University, Hangzhou, Zhejiang 310018, China Correspondence should be addressed to Ling Zhu, [email protected] Received 22 January 2010; Accepted 23 March 2010 Academic Editor: Wing-Sum Cheung Copyright q 2010 Ling Zhu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted us...