A note on Bellman-Gronwall's inequality

A New Generalized Gronwall-Bellman Type Inequality

A Note on Fisher's Inequality

A design D consists of a family B1 , ..., Bb of subets, called blocks, of a finite set S=[P1 , ..., Pv] whose elements are called points or varieties. D is balanced or *-linked if every pair of points is contained in exactly * blocks. If, in addition, *>0 and no block contains all the points, then D is nontrivial, and if every block has the same cardinality k then D is a balanced incomplete-blo...

A Note on Carleman’s Inequality

n=1 an, with the constant e best possible. There is a rich literature on many different proofs of Carleman’s inequality as well as its generalizations and extensions. We shall refer the readers to the survey articles [7] and [5] as well as the references therein for an account of Carleman’s inequality. From now on we will assume an ≥ 0 for n ≥ 1 and any infinite sum converges. Our goal in this ...

A note on Hilbert's inequality

[1] G. H. HARDY, J. E. LITTLEWOOD AND G. POLYA, Inequalities, Cambridge Univ. Press, Cambridge, 1995. [2] GAO MINGZHE, A Note on the Hardy-Hilbert Inequality, J. Math. Anal. Appl. Vol. 204, No. 1 (1996), 346–351. [3] GAO MINGZHE AND YANG BICHEN, on the Extended Hilbert’s Inequality, Proc. Amer. Math. Soc. Vol. 126, No. 3 (1998), 751–759. [4] W. H. GREUB, Linear Algebra, Springer Verlag, Berlin,...

A Note on a Gamma Function Inequality

The aim of this article is to present new inequalities which improve some gamma function inequalities of H. Alzer, Á. Baricz and N. Elezović et al. Mathematics subject classification (2000): 26D07, 33B15.