| Title | EXPONENTIAL CONVEXITY OF THE FAVARD'S INEQUALITY AND RELATED RESULTS |
| Author/s | Naveed Latif, Josip Pečarić, Ivan Perić |
| Citation | N. Latif, J. Pečarić and I Perić, "EXPONENTIAL CONVEXITY OF THE FAVARD'S INEQUALITY AND RELATED RESULTS", Contributions, Sec. Math. Tech. Sci., MASA, ISSN 0351–3246, Vol. 30, no.1-2, 2009, pp.53-66. |
| Abstract | 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. |
| Keywords | Favard's inequality; weighted Favard's inequality; positive semi-definite matrix; exponential convexity; log-convexity |
