[KSCI] Korea Science Citation Index Service

Dragomir, Silvestru Sever (Mathematics, College of Engineering & Science, Victoria University)

Publication Information

Abstract

In this paper we obtain some new inequalities for the weighted chaotically geometric mean of two positive operators on a complex Hilbert space.

Keywords

operator Inequality; convex functions; arithmetic mean-geometric mean inequality; chaotically geometric mean;

Citations & Related Records

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3	S.S. Dragomir: Bounds for the normalized Jensen functional. Bull. Austral. Math. Soc. 74 (2006), no. 3, 417-478. DOI
4	S.S. Dragomir: A note on Young's inequality. Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. RACSAM 111 (2017), no. 2, 349-354. Preprint RGMIA Res. Rep. Coll. 18 (2015), Art. 126. [Onlinehttp://rgmia.org/papers/v18/v18a126.pdf]. DOI
5	M. Tominaga: Specht's ratio in the Young inequality. Sci. Math. Japon. 55 (2002), 583-588.
6	S.S. Dragomir: A note on new refinements and reverses of Young's inequality. Transylv. J. Math. Mech. 8 (2016), no. 1, 45-49. Preprint RGMIA Res. Rep. Coll. 18 (2015), Art. 131. [Online http://rgmia.org/papers/v18/v18a131.pdf].
7	M. Fujii, S.H. Lee, Y. Seo & D. Jung: Reverse inequalities on chaotically geometric mean via Specht ratio. Math. Inequal. Appl. 6 (2003), no. 3, 509-519.