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

Yıl 2021, Cilt: 4 Sayı: 1, 1 - 8, 22.03.2021
https://doi.org/10.32323/ujma.833414

Öz

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.

Kaynakça

  • [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] 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] 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] 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] 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] 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] S. Furuichi, Refined Young inequalities with Specht’s ratio, J. Egyptian Math. Soc. 20(2012), 46-49.
  • [8] S. Furuichi, On refined Young inequalities and reverse inequalities, J. Math. Inequal. 5 (2011), 21-31.
  • [9] F. Kittaneh, Y. Manasrah, Improved Young and Heinz inequalities for matrix, J. Math. Anal. Appl., 361 (2010), 262-269
  • [10] F. Kittaneh, Y. Manasrah, Reverse Young and Heinz inequalities for matrices, Linear Multilinear Algebra., 59 (2011), 1031-1037.
  • [11] W. Liao, J. Wu, J. Zhao, New versions of reverse Young and Heinz mean inequalities with the Kantorovich constant, Taiwanese J. Math. 19(2) (2015), 467-479.
  • [12] N. Minculete, S. Furuichi, Several applications of Cartwright-Field’s inequality, Int. J. Pure Appl. Math., 71(1) (21), 19-30.
  • [13] M. Tominaga, Specht’s ratio in the Young inequality, Sci. Math. Japon., 55 (2002), 583-588.
  • [14] G. Zuo, G. Shi, M. Fujii, Refined Young inequality with Kantorovich constant, J. Math. Inequal., 5 (2011), 551-556.
Yıl 2021, Cilt: 4 Sayı: 1, 1 - 8, 22.03.2021
https://doi.org/10.32323/ujma.833414

Öz

Kaynakça

  • [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] 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] 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] 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] 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] 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] S. Furuichi, Refined Young inequalities with Specht’s ratio, J. Egyptian Math. Soc. 20(2012), 46-49.
  • [8] S. Furuichi, On refined Young inequalities and reverse inequalities, J. Math. Inequal. 5 (2011), 21-31.
  • [9] F. Kittaneh, Y. Manasrah, Improved Young and Heinz inequalities for matrix, J. Math. Anal. Appl., 361 (2010), 262-269
  • [10] F. Kittaneh, Y. Manasrah, Reverse Young and Heinz inequalities for matrices, Linear Multilinear Algebra., 59 (2011), 1031-1037.
  • [11] W. Liao, J. Wu, J. Zhao, New versions of reverse Young and Heinz mean inequalities with the Kantorovich constant, Taiwanese J. Math. 19(2) (2015), 467-479.
  • [12] N. Minculete, S. Furuichi, Several applications of Cartwright-Field’s inequality, Int. J. Pure Appl. Math., 71(1) (21), 19-30.
  • [13] M. Tominaga, Specht’s ratio in the Young inequality, Sci. Math. Japon., 55 (2002), 583-588.
  • [14] G. Zuo, G. Shi, M. Fujii, Refined Young inequality with Kantorovich constant, J. Math. Inequal., 5 (2011), 551-556.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Sever Dragomır

Yayımlanma Tarihi 22 Mart 2021
Gönderilme Tarihi 30 Kasım 2020
Kabul Tarihi 1 Mart 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 4 Sayı: 1

Kaynak Göster

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 Dragomır S. Additive Refinements and Reverses of Young’s Operator Inequality Via a Result of Cartwright and Field. Univ. J. Math. Appl. Mart 2021;4(1):1-8. doi:10.32323/ujma.833414
Chicago 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, sy. 1 (Mart 2021): 1-8. https://doi.org/10.32323/ujma.833414.
EndNote Dragomır S (01 Mart 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 S. Dragomır, “Additive Refinements and Reverses of Young’s Operator Inequality Via a Result of Cartwright and Field”, Univ. J. Math. Appl., c. 4, sy. 1, ss. 1–8, 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 (Mart 2021), 1-8. https://doi.org/10.32323/ujma.833414.
JAMA 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, c. 4, sy. 1, 2021, ss. 1-8, doi:10.32323/ujma.833414.
Vancouver 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.

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