Research Article

Additive Refinements and Reverses of Young's Operator Inequality Via a Result of Cartwright and Field

Volume: 4 Number: 1 March 22, 2021
EN

Additive Refinements and Reverses of Young's Operator Inequality Via a Result of Cartwright and Field

Abstract

In this paper we obtain some new additive refinements and reverses of Young's operator inequality via a result of Cartwright and Field. Comparison with other additive Young's type inequalities are also provided.

Keywords

Arithmetic mean-Geometric mean inequality, Young's inequality, Hölder inequality

References

  1. [1] D.I. Cartwright, M.J. Field, A refinement of the arithmetic mean-geometric mean inequality, Proc. Amer. Math. Soc., 71 (1978), 36-38.
  2. [2] S.S. Dragomir, Some new reverses of Young’s operator inequality, Preprint RGMIA Res. Rep. Coll. 18 (2015), Art. 130. [http://rgmia.org/papers/v18/v18a130.pdf].
  3. [3] S.S. Dragomir, On new refinements and reverses of Young’s operator inequality, Preprint RGMIA Res. Rep. Coll. 18 (2015), Art. 135. [http://rgmia.org/papers/v18/v18a135.pdf].
  4. [4] S.S. Dragomir, Some inequalities for operator weighted geometric mean, Preprint RGMIA Res. Rep. Coll. 18 (2015), Art. 139. [http://rgmia.org/papers/v18/v18a139.pdf ].
  5. [5] S.S. Dragomir, Refinements and reverses of H¨older-McCarthy operator inequality, Preprint RGMIA Res. Rep. Coll. 18 (2015), Art. 143. [http://rgmia.org/papers/v18/v18a143.pdf].
  6. [6] S.S. Dragomir, Some reverses and a refinement of H¨older operator inequality, Preprint RGMIA Res. Rep. Coll. 18 (2015), Art. 147. [http://rgmia.org/papers/v18/v18a147.pdf].
  7. [7] S. Furuichi, Refined Young inequalities with Specht’s ratio, J. Egyptian Math. Soc. 20(2012), 46-49.
  8. [8] S. Furuichi, On refined Young inequalities and reverse inequalities, J. Math. Inequal. 5 (2011), 21-31.
  9. [9] F. Kittaneh, Y. Manasrah, Improved Young and Heinz inequalities for matrix, J. Math. Anal. Appl., 361 (2010), 262-269
  10. [10] F. Kittaneh, Y. Manasrah, Reverse Young and Heinz inequalities for matrices, Linear Multilinear Algebra., 59 (2011), 1031-1037.
APA
Dragomır, S. (2021). Additive Refinements and Reverses of Young’s Operator Inequality Via a Result of Cartwright and Field. Universal Journal of Mathematics and Applications, 4(1), 1-8. https://doi.org/10.32323/ujma.833414
AMA
1.Dragomır S. Additive Refinements and Reverses of Young’s Operator Inequality Via a Result of Cartwright and Field. Univ. J. Math. Appl. 2021;4(1):1-8. doi:10.32323/ujma.833414
Chicago
Dragomır, Sever. 2021. “Additive Refinements and Reverses of Young’s Operator Inequality Via a Result of Cartwright and Field”. Universal Journal of Mathematics and Applications 4 (1): 1-8. https://doi.org/10.32323/ujma.833414.
EndNote
Dragomır S (March 1, 2021) Additive Refinements and Reverses of Young’s Operator Inequality Via a Result of Cartwright and Field. Universal Journal of Mathematics and Applications 4 1 1–8.
IEEE
[1]S. Dragomır, “Additive Refinements and Reverses of Young’s Operator Inequality Via a Result of Cartwright and Field”, Univ. J. Math. Appl., vol. 4, no. 1, pp. 1–8, Mar. 2021, doi: 10.32323/ujma.833414.
ISNAD
Dragomır, Sever. “Additive Refinements and Reverses of Young’s Operator Inequality Via a Result of Cartwright and Field”. Universal Journal of Mathematics and Applications 4/1 (March 1, 2021): 1-8. https://doi.org/10.32323/ujma.833414.
JAMA
1.Dragomır S. Additive Refinements and Reverses of Young’s Operator Inequality Via a Result of Cartwright and Field. Univ. J. Math. Appl. 2021;4:1–8.
MLA
Dragomır, Sever. “Additive Refinements and Reverses of Young’s Operator Inequality Via a Result of Cartwright and Field”. Universal Journal of Mathematics and Applications, vol. 4, no. 1, Mar. 2021, pp. 1-8, doi:10.32323/ujma.833414.
Vancouver
1.Sever Dragomır. Additive Refinements and Reverses of Young’s Operator Inequality Via a Result of Cartwright and Field. Univ. J. Math. Appl. 2021 Mar. 1;4(1):1-8. doi:10.32323/ujma.833414