๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

An application of Hayashi's inequality for differentiable functions

โœ Scribed by R.P. Agarwal; S.S. Dragomir


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
184 KB
Volume
32
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis


In this paper, we offer an application of Hayashi's generalization of Steffensen's inequality for differentiable functions, as well as its connections with the celebrated Hermite-Hadamard's integral inequality for convex functions. Some applications for special means are also given.


๐Ÿ“œ SIMILAR VOLUMES


Jordan-type inequalities for differentia
โœ Shanhe Wu; Lokenath Debnath ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 207 KB

In this work, we extend Jordan's inequality to obtain a new type of inequality involving functions and their higher-order derivatives. The result is then used to obtain some higher accurate inequalities of Jordan type.

An Inequality for Convex Functions
โœ C.E.M. Pearce; J.E. Pecaric ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 95 KB