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On Pecaric's Inequality in Inner Product Spaces  [PDF]
Sever Silvestru Dragomir
Mathematics , 2003,
Abstract: Some related results to Pecaric's inequality in inner product spaces that generalises Bombieri's inequality, are given.
New generalization of H. Alzer's inequality  [cached]
Zheng Liu
Tamkang Journal of Mathematics , 2003, DOI: 10.5556/j.tkjm.34.2003.255-260
Abstract: A new generalization of H. Alzer's inequality is proved. This inequality generalizes both results in an article by N. Elezovic and J. Pecaric (J. Math. Anal. Appl. 223 (1998), 366--369) as well as an article by Feng Qi (J. Math. Anal. Appl. 240 (1999), 294--297). It is shown that this inequality is satisfied for a large class of increasing convex sequences.
Chebyshev's inequality for Banach-space-valued random elements  [PDF]
Ling Zhou,Ze-Chun Hu
Mathematics , 2011,
Abstract: In this paper, we obtain a new generalization of Chebyshev's inequality for random elements taking values in a separate Banach space.
A generalization of Bernoulli's inequality  [cached]
Laura De Carli,Steve M. Hudson
Le Matematiche , 2010,
Abstract: We prove a generalization of Bernoulli's inequality and we apply this generalization to sharpen certain Weierstrass product inequalities
On the Simes inequality and its generalization  [PDF]
Sanat K. Sarkar
Mathematics , 2008, DOI: 10.1214/193940307000000167
Abstract: The Simes inequality has received considerable attention recently because of its close connection to some important multiple hypothesis testing procedures. We revisit in this article an old result on this inequality to clarify and strengthen it and a recently proposed generalization of it to offer an alternative simpler proof.
A generalization of an inequality from IMO 2005  [PDF]
Nikolai Nikolov
Mathematics , 2005,
Abstract: A generalization of an inequality from IMO is proven.
On the Cauchy Functional Inequality in Banach Modules
Park Choonkil
Journal of Inequalities and Applications , 2008,
Abstract: We investigate the following functional inequality: in Banach modules over a -algebra, and prove the generalized Hyers-Ulam stability of linear mappings in Banach modules over a -algebra.
The Generalization of Schottky Inequality and Its Applications  [PDF]
Shiyu Chen,Junyi Hu
Mathematics , 2015,
Abstract: This article used Bloch function to derive Schottky inequality, obtained its generalization by using elliptic integral deviation function and demonstrated its applications.
Generalization of the Banach contraction principle  [PDF]
Maher Berzig
Mathematics , 2013,
Abstract: We introduce the concept of shifting distance functions, and we establish a new fixed point theorem which generalizes the Banach contraction principle. An example is provided to illustrate our result.
A New Generalization of Chebyshev Inequality for Random Vectors  [PDF]
Xinjia Chen
Mathematics , 2007,
Abstract: In this article, we derive a new generalization of Chebyshev inequality for random vectors. We demonstrate that the new generalization is much less conservative than the classical generalization.
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