Choi-Davis-Jensen's inequality and generalized inverses of linear operators

نویسندگان

  • Marek Niezgoda
  • MAREK NIEZGODA
چکیده

In this paper, some extensions of recent results on Choi-Davis-Jensen’s inequality due to Khosravi et al. [M. Khosravi, J.S. Aujla, S.S. Dragomir, and M.S. Moslehian. Refinements of ChoiDavis-Jensen’s inequality. Bulletin of Mathematical Analysis and Applications, 3:127–133, 2011.] and Fujii et al. [J.-I. Fujii, J. Pečarić, and Y. Seo. The Jensen inequality in an external formula. Journal of Mathematical Inequalities, 6:473–480, 2012.] are presented. To this end, generalized inverses of positive linear maps are used.

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تاریخ انتشار 2017