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A relation of weak majorization and its applications to certain inequalities for means

✍ Scribed by Shan-He Wu; Huan-Nan Shi

Book ID
111493171
Publisher
SP Versita
Year
2011
Tongue
English
Weight
159 KB
Volume
61
Category
Article
ISSN
0139-9918

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✦ Synopsis

A relation of weak majorization for n-dimensional real vectors is established, the result is then used to derive some inequalities involving the power mean, the arithmetic mean and the geometric mean in n variables.

πŸ“œ SIMILAR VOLUMES

Two inequalities for differentiable mapp
Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
✍ S.S. Dragomir; R.P. Agarwal πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 230 KB

In this paper, we shall offer two inequalities for differentiable convex mappings which are connected with the celebrated Hermite-Hadamard's integral inequality holding for convex functions. Some natural applications to special means of real numbers are given. Finally, some error estimates for the t