Research Article

Some inequalities for positive multilinear mappings

Volume: 68 Number: 1 February 1, 2019
EN

Some inequalities for positive multilinear mappings

Abstract

In this paper we obtain some improvements and generalizations of inequalities for positive multilinear mappings.

Keywords

References

  1. Ando, T. and Zhan, X., Norm inequalities related to operator monotone functions, Math. Ann. 315 (1999), 771--780.
  2. Bhatia, R. and Kittaneh, F., Notes on matrix arithmetic geometric mean inequalities, Linear Algebra Appl. 308 (2000), 203--211.
  3. Kian, M. and Dehghani, M., Extension of the Kantorovich inequality for positive multilinear mappings, Filomat 31:20 (2017), 6473-6481.
  4. Bhatia, R., Positive definite matrices, Princeton Universtiy Press, Princeton 2007.
  5. Dehghani, M., Kian M. and Seo, Y., Developed matrix inequalities via positive multilinear mappings, Linear Algebra Appl. 484 (2015) 63-85.
  6. Zhang, P., More operator inequalities for positive linear maps, Banach J. Math. Anal. 9 (2015) 166--172.
  7. Fujii, M. and Izumino, S., Nakamoto, R. and Seo, Y., Operator inequalities related to Cauchy-Schwarz and Hölder-McCarthy inequalities, Nihonkai Math. J. 8 (1997), 117--122.
  8. Marshall, A.W. and Olkin, I., Matrix versions of Cauchy and Kantorovich inequalities, Aequationes Math. 40 (1990), 89--93.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

February 1, 2019

Submission Date

May 31, 2018

Acceptance Date

August 30, 2018

Published in Issue

Year 1970 Volume: 68 Number: 1

APA
Gümüş, İ. H., & Akic, M. (2019). Some inequalities for positive multilinear mappings. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 907-912. https://doi.org/10.31801/cfsuasmas.428222
AMA
1.Gümüş İH, Akic M. Some inequalities for positive multilinear mappings. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):907-912. doi:10.31801/cfsuasmas.428222
Chicago
Gümüş, İbrahim Halil, and Mustafa Akic. 2019. “Some Inequalities for Positive Multilinear Mappings”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1): 907-12. https://doi.org/10.31801/cfsuasmas.428222.
EndNote
Gümüş İH, Akic M (February 1, 2019) Some inequalities for positive multilinear mappings. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 907–912.
IEEE
[1]İ. H. Gümüş and M. Akic, “Some inequalities for positive multilinear mappings”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 907–912, Feb. 2019, doi: 10.31801/cfsuasmas.428222.
ISNAD
Gümüş, İbrahim Halil - Akic, Mustafa. “Some Inequalities for Positive Multilinear Mappings”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 1, 2019): 907-912. https://doi.org/10.31801/cfsuasmas.428222.
JAMA
1.Gümüş İH, Akic M. Some inequalities for positive multilinear mappings. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:907–912.
MLA
Gümüş, İbrahim Halil, and Mustafa Akic. “Some Inequalities for Positive Multilinear Mappings”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, Feb. 2019, pp. 907-12, doi:10.31801/cfsuasmas.428222.
Vancouver
1.İbrahim Halil Gümüş, Mustafa Akic. Some inequalities for positive multilinear mappings. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Feb. 1;68(1):907-12. doi:10.31801/cfsuasmas.428222

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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