Since paper [16], many mathematicians mistakenly referred this inequality to [21, pages 116�C118]. Indeed, the paper we should Vandetanib molecular weight refer to is [22] or an even earlier paper in Chinese.The first application of Theorem 1 is to refine and generalize Yang’s inequality (23) as follows.Theorem 7 ��For k �� 2, let Ai > 0 and ��i=1kAi �� ��. If 0 �� �� �� 1, thenR(��)�ܡ�1��i

13)], or [2, page 17, (3.4)], ��4��+(��?2)��2[1?��men��/2(��?1)]2.(29)Finally,??becomes4��+2��2m+n��[1?��men��/2(��?1)]2cos?2�˦�2��Hij taking the sum of the above inequality for all 1 �� i < j �� n results in (24). The required proof is complete. Corollary 8 ��Under the conditions of Theorem 7, one hasR1(��)�ܡ�1��i

(33)Proof??��1+2(2m+n��),��0��/2sinxxdx+2m(��?2)e?n��/2��m+1��0��/2xmenxdx??then��0��/2sinxxdx+2m+2e?n��/2(2m+n��)��m+1��0��/2xmenxdx ��This follows from integrating on all sides of the double inequality (4). Remark 10 ��Applying Theorem 9 to n = 0 gives1m+1+1�ܡ�0��/2sinxxdx��1+(��?2)2mm+1.(34)Applying Theorem 9 to n = 0 and m = 2 yields43�ܡ�0��/2sinxxdx�ܦ�+13.(35)This is a recovery of an inequality established in [3, page 101]. It was also collected in [2, (2.14)]. Such a kind of inequalities can be found in [23]. AcknowledgmentThe authors appreciate Professor Dr. Feng Qi (F. Qi) at Tianjin Polytechnic University in China for his kind and valuable contributions to this paper.
The hair follicle is a skin integument at the boundary between an organism and its immediate environment.

It is the evolutionary relative of the scale, feather, and nail, integuments that have served an essential role in the survival of organisms [1]. The biological role of the human hair follicle has Drug_discovery lost some of its ancestral importance; however, an indepth investigation of this miniorgan reveals hidden complexity with huge research potential. The authors Paus and Foitzik describe the hair follicle as having a unique mammalian characteristic with a stem cell-rich, prototypic neuroectodermal-mesodermal interaction system.