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A new generalization of Young type inequality and applications

Yıl 2022, Cilt: 51 Sayı: 5, 1371 - 1378, 01.10.2022
https://doi.org/10.15672/hujms.973596

Öz

In this paper, we give refinements of the classical Young inequality for scalars and we use these refinements to establish refined some Young type inequalities for the trace, determinants, and norms of positive definite matrices.

Kaynakça

  • [1] M.A. Ighachane and M. Akkouchi, A New Generalization of Two Refined Young Inequalities and Applications, Moroccan J. of Pure and Appl. Anal. 6(2), 155–167, 2020.
  • [2] F. Kittaneh and Y. Manasrah, Improved Young and Heinz Inequalities for Matrices, J. Math. Anal. Appl. 361(1), 262–269, 2010.
  • [3] Y. Manasrah and F. Kittaneh, A Generalization of Two Refined Young Inequalities, Positivity, 19, 757–768, 2015.
  • [4] H. Omar and F. Kittaneh, Matrix Young Inequalities for the Hilbert Schmidt Norm, Linear Algebra Appl. 308, 77–84, 2000.
Yıl 2022, Cilt: 51 Sayı: 5, 1371 - 1378, 01.10.2022
https://doi.org/10.15672/hujms.973596

Öz

Kaynakça

  • [1] M.A. Ighachane and M. Akkouchi, A New Generalization of Two Refined Young Inequalities and Applications, Moroccan J. of Pure and Appl. Anal. 6(2), 155–167, 2020.
  • [2] F. Kittaneh and Y. Manasrah, Improved Young and Heinz Inequalities for Matrices, J. Math. Anal. Appl. 361(1), 262–269, 2010.
  • [3] Y. Manasrah and F. Kittaneh, A Generalization of Two Refined Young Inequalities, Positivity, 19, 757–768, 2015.
  • [4] H. Omar and F. Kittaneh, Matrix Young Inequalities for the Hilbert Schmidt Norm, Linear Algebra Appl. 308, 77–84, 2000.
Toplam 4 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik
Yazarlar

Mohammad Rashid 0000-0002-3816-5287

Najwa Snaid 0000-0002-8727-9643

Yayımlanma Tarihi 1 Ekim 2022
Yayımlandığı Sayı Yıl 2022 Cilt: 51 Sayı: 5

Kaynak Göster

APA Rashid, M., & Snaid, N. (2022). A new generalization of Young type inequality and applications. Hacettepe Journal of Mathematics and Statistics, 51(5), 1371-1378. https://doi.org/10.15672/hujms.973596
AMA Rashid M, Snaid N. A new generalization of Young type inequality and applications. Hacettepe Journal of Mathematics and Statistics. Ekim 2022;51(5):1371-1378. doi:10.15672/hujms.973596
Chicago Rashid, Mohammad, ve Najwa Snaid. “A New Generalization of Young Type Inequality and Applications”. Hacettepe Journal of Mathematics and Statistics 51, sy. 5 (Ekim 2022): 1371-78. https://doi.org/10.15672/hujms.973596.
EndNote Rashid M, Snaid N (01 Ekim 2022) A new generalization of Young type inequality and applications. Hacettepe Journal of Mathematics and Statistics 51 5 1371–1378.
IEEE M. Rashid ve N. Snaid, “A new generalization of Young type inequality and applications”, Hacettepe Journal of Mathematics and Statistics, c. 51, sy. 5, ss. 1371–1378, 2022, doi: 10.15672/hujms.973596.
ISNAD Rashid, Mohammad - Snaid, Najwa. “A New Generalization of Young Type Inequality and Applications”. Hacettepe Journal of Mathematics and Statistics 51/5 (Ekim 2022), 1371-1378. https://doi.org/10.15672/hujms.973596.
JAMA Rashid M, Snaid N. A new generalization of Young type inequality and applications. Hacettepe Journal of Mathematics and Statistics. 2022;51:1371–1378.
MLA Rashid, Mohammad ve Najwa Snaid. “A New Generalization of Young Type Inequality and Applications”. Hacettepe Journal of Mathematics and Statistics, c. 51, sy. 5, 2022, ss. 1371-8, doi:10.15672/hujms.973596.
Vancouver Rashid M, Snaid N. A new generalization of Young type inequality and applications. Hacettepe Journal of Mathematics and Statistics. 2022;51(5):1371-8.