Naveed Latif, Josip Pečarić, Ivan Perić


A b s t r a c t: In this paper we prove positive semi-definiteness of matrices generated by differences deduced from unweighted and weighted Favard's inequality. This implies a surprising property of exponential convexity of this differences which allows us to deduce Gram's, Lyapunov's and Dresher's types of inequalities for this differences.


Favard's inequality; weighted Favard's inequality; positive semi-definite matrix; exponential convexity; log-convexity

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DOI: http://dx.doi.org/10.20903/csnmbs.masa.2009.30.1-2.19


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