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SOME INEQUALITIES FOR THE WEIGHTED CHAOTICALLY GEOMETRIC MEAN

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초록

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

Abstract

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

참고문헌 (7)

  1. S.S. Dragomir, "Bounds for the normalized Jensen functional", Bull. Austral. Math. Soc, 74(3), pp.417~478 (2006)
  2. S.S. Dragomir, "A note on Young's inequality", Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. RACSAM, 111(2), pp.349~354 (2017)
  3. S.S. Dragomir, "A note on new re nements and reverses of Young's inequality", Transylv. J. Math. Mech, 8(1), pp.45~49 (2016)
  4. M. Fujii, "Reverse inequalities on chaotically geometric mean via Specht ratio", Math. Inequal. Appl, 6(3), pp.509~519 (2003)
  5. M. Fujii, "Reverse inequalities on chaotically geometric mean via Specht ratio, II", J. Inequal. Pure Appl. Math, 4(2) (2003)
  6. W. Specht, "Zer Theorie der elementaren Mittel", Math. Z, 74, pp.91~98 (1960)
  7. M. Tominaga, "Specht's ratio in the Young inequality", Sci. Math. Japon, 55, pp.583~588 (2002)

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