Kian, M., Najafi, H., Rostamian Delavar, M. (2019). Popoviciu inequality for matrix functions of negative powers. Wavelet and Linear Algebra, 5(3 (Special issue)), 81-94. doi: 10.22072/wala.2018.89222.1181

Mohsen Kian; Hamed Najafi; Mohsen Rostamian Delavar. "Popoviciu inequality for matrix functions of negative powers". Wavelet and Linear Algebra, 5, 3 (Special issue), 2019, 81-94. doi: 10.22072/wala.2018.89222.1181

Kian, M., Najafi, H., Rostamian Delavar, M. (2019). 'Popoviciu inequality for matrix functions of negative powers', Wavelet and Linear Algebra, 5(3 (Special issue)), pp. 81-94. doi: 10.22072/wala.2018.89222.1181

Kian, M., Najafi, H., Rostamian Delavar, M. Popoviciu inequality for matrix functions of negative powers. Wavelet and Linear Algebra, 2019; 5(3 (Special issue)): 81-94. doi: 10.22072/wala.2018.89222.1181

Popoviciu inequality for matrix functions of negative powers

^{1}Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran

^{2}Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad 91775, Iran.

^{3}Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, P.O. Box 1339, Bojnord 94531, Iran.

Abstract

In this paper, using the eigenvalues of positive matrices and the numerical Popoviciu inequality, we present this inequality for the trace of positive matrices. Moreover, considering matrix functions of negative power, we obtain some matrix inequalities of Popoviciu type. The results of this paper are reverses of some known matrix inequalities.