The Schwarz inequality and Jensen’s one are fundamental in a Hilbert space. Regarding a sesquilinear map B(X, Y ) = Y*X as an operatorvalued inner product, we discuss operator versions for the above inequalities and give simple conditions that the equalities hold.

A Control Chart can be designed based on heuristic, statistical, economic or economic statistical assumptions. When a control chart such as multivariate cumulative sum (MCUSUM) control chart is employed to monitor a production process, three parameters should be determined; subgroup size, sampling frequency and the control limits. This paper provides an algorithm for economic-statistical designing the PPCUSUM control charts parameters based on simulation approach. Finally, example and sensivity analysis are presented.

Today, countries’ power projection, along with tangible and intangible elements of power, is considered as one of the indicators of national power which through them, a country fulfills its demands by using consequences of power elements. Depending on the amount of this power, the scope and the range of countries’ power projection differs from each other. Although, many international scholars pay attention to the U.S. and Russia’s elements of strength and power projection as the world's greatest military powers, however, the prospect of China’s continuous and increasing economic growth considers the country’s likely increase of power projection.Thus, by viewing the concept of power projection, in this article, we will examine its elements in relation with China and then, with a comparative look, we study China’s power projection at regional and international level.

In this investigation, using Opoola differential operator ($D^{m}(\mu,\beta,t)f(z)$), a new integral operator: $I_{t,\beta,\mu}^{m,\sigma}(f_{1},...,f_{n})(z): A^{n}\rightarrow A$  is defined in the unit disk, $U=\left\lbrace z\in C:\left|z\right|<1\right\rbrace$; and we investigated the Univalence conditions of this generalized operator. Finally, a number of corollaries and remarks which show the extension of our results are presented.