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REFINEMENT OF SOME INEQUALITIES FOR OPERATORS

Yıl 2015, Cilt: 3 Sayı: 1, 56 - 62, 01.04.2015

Öz

In this paper, we will use a refinement of the classical Young inequality to improve some inequalities of operators.

Kaynakça

  • [1] T. Ando, Matrix Young inequalities, Oper. Theory Adv. Appl., 75, (1995), 33-38.
  • [2] R. Bhatia, Positive De nite Matrices , Princeton University Press, 2007.
  • [3] R. Bhatia and F. Kittaneh, On the singular values of a product of operators, SIAM J. Matrix Anal. Appl., 11, (1990), 272-277.
  • [4] M. El-Haddad and F. Kittaneh, Numerical radius inequalities for Hilbert space operators. II, Studia Mathematica, 182, 2 (2007), 133-140.
  • [5] K.E. Gustafson and D.K.M. Rao, Numerical Range, Springer-Verlag, New York, 1997.
  • [6] F. Kittaneh, A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix, Studia Mathematica, 158, 1(2003), 11-17.
  • [7] F. Kittaneh, Notes on some inequalities for Hilbert space operators, Publications of the Research Institute for Mathematical Sciences, 24, 2 (1988), 283-293.
  • [8] F. Kittaneh, Numerical radius inequalities for Hilbert space operators, Studia Mathematica, 168, (2005) , 73-80.
  • [9] F. Kittaneh and Yousef Manasrah, I mproved Young and Heinz inequalities for matrices, J. Math. Anal. Appl. 361, (2010), 262-269.
  • [10] A. Salemi and A. Sheikhhosseini, Matrix Young numerical radius inequalities, J. Math. In- equal., 16, (2013), 783-791.
  • [11] A. Salemi and A. Sheikhhosseini, On reversing of the modi ed Young inequality, Ann. Funct. Anal., 5, (2014), 69-75.
  • [12] Kh. Shebrawi and H. Albadawi, Numerical radius and operator norm inequalities, J. Inequal. Appl. 2009, (2009), 1-11.
Yıl 2015, Cilt: 3 Sayı: 1, 56 - 62, 01.04.2015

Öz

Kaynakça

  • [1] T. Ando, Matrix Young inequalities, Oper. Theory Adv. Appl., 75, (1995), 33-38.
  • [2] R. Bhatia, Positive De nite Matrices , Princeton University Press, 2007.
  • [3] R. Bhatia and F. Kittaneh, On the singular values of a product of operators, SIAM J. Matrix Anal. Appl., 11, (1990), 272-277.
  • [4] M. El-Haddad and F. Kittaneh, Numerical radius inequalities for Hilbert space operators. II, Studia Mathematica, 182, 2 (2007), 133-140.
  • [5] K.E. Gustafson and D.K.M. Rao, Numerical Range, Springer-Verlag, New York, 1997.
  • [6] F. Kittaneh, A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix, Studia Mathematica, 158, 1(2003), 11-17.
  • [7] F. Kittaneh, Notes on some inequalities for Hilbert space operators, Publications of the Research Institute for Mathematical Sciences, 24, 2 (1988), 283-293.
  • [8] F. Kittaneh, Numerical radius inequalities for Hilbert space operators, Studia Mathematica, 168, (2005) , 73-80.
  • [9] F. Kittaneh and Yousef Manasrah, I mproved Young and Heinz inequalities for matrices, J. Math. Anal. Appl. 361, (2010), 262-269.
  • [10] A. Salemi and A. Sheikhhosseini, Matrix Young numerical radius inequalities, J. Math. In- equal., 16, (2013), 783-791.
  • [11] A. Salemi and A. Sheikhhosseini, On reversing of the modi ed Young inequality, Ann. Funct. Anal., 5, (2014), 69-75.
  • [12] Kh. Shebrawi and H. Albadawi, Numerical radius and operator norm inequalities, J. Inequal. Appl. 2009, (2009), 1-11.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Alemeh Sheıkh Hosseını Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2015
Gönderilme Tarihi 10 Temmuz 2014
Yayımlandığı Sayı Yıl 2015 Cilt: 3 Sayı: 1

Kaynak Göster

APA Sheıkh Hosseını, A. (2015). REFINEMENT OF SOME INEQUALITIES FOR OPERATORS. Konuralp Journal of Mathematics, 3(1), 56-62.
AMA Sheıkh Hosseını A. REFINEMENT OF SOME INEQUALITIES FOR OPERATORS. Konuralp J. Math. Nisan 2015;3(1):56-62.
Chicago Sheıkh Hosseını, Alemeh. “REFINEMENT OF SOME INEQUALITIES FOR OPERATORS”. Konuralp Journal of Mathematics 3, sy. 1 (Nisan 2015): 56-62.
EndNote Sheıkh Hosseını A (01 Nisan 2015) REFINEMENT OF SOME INEQUALITIES FOR OPERATORS. Konuralp Journal of Mathematics 3 1 56–62.
IEEE A. Sheıkh Hosseını, “REFINEMENT OF SOME INEQUALITIES FOR OPERATORS”, Konuralp J. Math., c. 3, sy. 1, ss. 56–62, 2015.
ISNAD Sheıkh Hosseını, Alemeh. “REFINEMENT OF SOME INEQUALITIES FOR OPERATORS”. Konuralp Journal of Mathematics 3/1 (Nisan 2015), 56-62.
JAMA Sheıkh Hosseını A. REFINEMENT OF SOME INEQUALITIES FOR OPERATORS. Konuralp J. Math. 2015;3:56–62.
MLA Sheıkh Hosseını, Alemeh. “REFINEMENT OF SOME INEQUALITIES FOR OPERATORS”. Konuralp Journal of Mathematics, c. 3, sy. 1, 2015, ss. 56-62.
Vancouver Sheıkh Hosseını A. REFINEMENT OF SOME INEQUALITIES FOR OPERATORS. Konuralp J. Math. 2015;3(1):56-62.
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