## Jamal Rooin

Personal Data:

• Birth: 1959, Tehran, IRAN.

Education:

• Ph.D. : Teacher Training University (Tehran, Iran), 2003.

• M.Sc. : Teacher Training University (Tehran, Iran), 1988.

• B.Sc. : Teacher Training University (Tehran, Iran), 1985.

Ph.D. Thesis Supervisor:

• Professor Ali-Reza Medghalchi [ MathSciNet ]

Ph.D. Thesis:

• Inequalities and Applications [ PDF ]

Area of Research:

• Theory of Inequalities
• Functional Analysis
• Mathematical Analysis

Specific Topics of Interests:

• Analytic Inequalities
• Geometry of Banach Spaces
• Operator Theory
• Theory of Approximation
• O.D.E.
• P.D.E.

Position:

Publications:

Books:

1. M.F. Malik Ghaeni, and J.Rooin, Dictionary of Mathematics, 2nd edi., Jihad of Sharif Uni., 1984.
2. B. Mehri and J. Rooin, Fundamental of Mathematical Analysis, 3td edi., Jihad of Amir Kabir Uni., 2002 (in persian).
3. J. Rooin, Problems in General Functional Analysis, Nikan Ketab, 2006 (in persian).

Papers:

1. J. Rooin, Ky Fan inequality via convexity, jipam, Volume 9, Issue 1 (2008), Article 23.
2. J. Rooin, An approach to Ky Fan type inequalities from binomial expansion, to appear in  Mathematical Inequalities & Applications.
3. J. Rooin, Some refinements of discrete Jensen's Inequality and some of Its applications, Nonlinear Functional Analysis and Applications, vol. 12, No. 1(2007), 107-118.
4. J. Rooin and M. Hassani, Some new inequalities between important means and applications to Ky Fan types Inequalities, Mathematical Inequalities & Applications, Vol. 10, No. 3 (2007), 517-527.
5. J. Rooin, Some new proofs of Ky Fan's inequality, International Journal of Applied Mathematics, Vol 20, No. 3 (2007), 285-291.
6. J. Rooin, Some refinements of relative information inequality, Creat Math. Inform., 16 (2007), 95-98.
7. J. Rooin, Ky Fan's inequality with binomial expansion, Elemente Der Mathematik,  60 (2005), 171-173.
8. J. Rooin, A refinement of Jensen's inequality, jipam, Volume 6, Issue 2 (2005), Article 38.
9. J. Rooin, Some refinements of Ky Fan's and Sandor's inequalities, Southeast Asian Bulletin of Mathematics, Vol. 27 (2004), 1101-1109.
10. J. Rooin, Some new proofs for the AGM inequality, Mathematical Inequalities & Applications, Vol. 7, No. 4 (2004), 517-521.
11. J. Rooin, AGM inequality with binomial expansion, Elemente Der Mathematik, 58 (2003), 115-117.
12. A. R. Medghalchi and J. Rooin, Some refinements of the Triangle and Cauchy-Schwartz inequalities in Inner products spaces, Inequality Theory & Applications, Vol. 2, Nova Science Publishers, USA, 2003, pp. 133-138.
13. J. Rooin, On Ky Fan's inequality and its additive analogues, Mathematical Inequalities & Applications, Vol. 6, No. 4 (2003), 595-604.
14. J. Rooin and A.R. Medghalchi, New proofs for Ky Fan's inequality and two of Its variants, International Journal of Applied Mathematics, Vol 10, No. 1 (2002) 51-57.
15. J. Rooin, Another proof of the Arithmetic-Geometric Mean inequality, The Mathematical Gazette, 85 (2001), 285-286.
16. J. Rooin, Grouping of terms and divergence of Harmonic Series, The Mathematical Gazette, 85 (2001), 512-513.
17. J. Rooin, Some aspects of convex functions and their applications, jipam, Volume 2, Issue 1(2001), Article 4.
18. J. Rooin, A new proof of $\lim\sqrt[n]{n}=1$, Amer. Math. Monthly, Vol. 108, No. 4 (2001).

Solutions to the following of the Amer. Math. Monthly:

1. [11486, PDF], [11435, PDF], [11360, PDF], [11357, PDF], [11289, PDF], [11253, PDF],  [11248, PDF], [11245, PDF], [11244, PDF], [11240, PDF], [11233, PDF], [11228, PDF], [11226, PDF], [11202, PDF], [10697, PDF]
2. D. Borwein, J. Borwein and J. Rooin, Problem 11009, Amer. Math. Monthly, Vol. 110, No. 4 (2003), 341.

Submitted Papers:

J. Rooin and A. Morassaei, A double-weighted  refinement of Jensen's inequality with applications.
J. Rooin, Some applications of an important weighted refinement of discrete Jensen's inequality with applications.

Talks and Seminars:

1. J. Rooin and A. Morassaei, Multi-weighted refinement of Jensen's inequality with applications, 39-th Annual Iranian Mathematics Conference, 24-27 August 2008, Shahid Bahonar University of Kerman, Kerman, Iran.

2. J. Rooin, An extension of Alzer's inequality via convexity with applications,  MIA 2008 Conference, 8-14 June 2008, Trogir-Split, Croatia.

3. J. Rooin and A. Morassaei, A double-weighted  refinement of Jensen's inequality, International Conference of Numerical Analysis and Applied Mathematics-Symposium: Inequalities with Applications in Numerical Analysis (ICNAAM), Corfu, Greece, 16-20 September 2007.
4. J. Rooin and A. Morassaei, On Jensen's inequality, 38-th Annual Iranian Mathematics Conference, 3-6 September 2007,  Zanjan University, Zanjan, Iran [ selected photos: ziped file 63.4 MB - a clip 34.3 MB ].
5. J. Rooin and A. M. Tahghighi, Some refinements of AGM inequality and applications, 38-th Annual Iranian Mathematics Conference, September 3-6, 2007,  Zanjan University, Zanjan, Iran.
6. J. Rooin, On Ky Fan's inequality, 49th Annual Meeting of the Australian Mathematical Society, School of Mathematics and Statistics, The University of Western Australia, 27th - 30th September 2005, Perth, Australia.
7. J. Rooin, Weighted refinements of Jensen's inequality with applications, 35-th Annual Iranian Mathematics Conference, January 26-January 29, 2005, Shahid Chamran University, Ahwaz, Iran.
8. J. Rooin, Some refinements of discrete Jensen's Inequality, International Conference NFAA 2004, August 9-13, 2004, Korea.
9. J. Rooin, Some new inequalities between important means, 14th Seminar on Mathematical Analysis and applications, Iran University of Science and Technology, 4-5 February 2004, Tehran, Iran.
10. J. Rooin, On Ky Fan's inequality, Third Joint Seminar On Applied Mathematics, Baku State University & Zanjan University, 6-8 September 2002, Baku, Azerbaijan.
11. J. Rooin, Some refinements of Ky Fan's inequality, Second joint Seminar Of Zanjan and Baku State Uni., September 2000, Zanjan Uni, Zanjan, Iran.
12. J. Rooin, An additive analogue of Ky Fan's inequality, 32th Iranian Mathematical Conference, Mazandaran Uni, 2000, Basbolsar, Iran.

Preprints:

1. J. Rooin, Some refinements of Entropy Inequality, RGMIA Research Report Collection, 6(3) (2003), 571-574.
2. J. Rooin, M.Tahghighi and H. Teimoori, A note on the Entropy Inequality, RGMIA Research Report Collection, 5(2) (2002), 351-352.

Papers in Preparation:

1. J. Rooin and M. Morassaei, A multiweighted refinement of the integral form of Jensen's inequality with applications.
2. J. Rooin and A. Morasaei, Hadamard Inequalities in topological groups.
3. J. Rooin, An extension of Alzer's inequality by convexity.
4. J. Rooin, An extension of Cantor set preserving uncountability.
5. J. Rooin and M. Bayat, Two important sharp inequalities in L^2[0,1].
6. J. Rooin, Some Double-weighted refinements of H\"{o}lder and Cauchy-Schwartz inequalities.

Awards:

Getting fourth place in the Iranian B.Sc.mathematics competition, Teacher Training University, August 1985.
Award of Dr. Manouchehr VESAL for the selected paper "Some new inequalities between important means (with M. Hassani)" in 14th Seminar on Mathematical Analysis and its Applications, February 4-5, 2004, Iran University of Science and Technology, Tehran, Iran.

Review Experience:

Reviewer of the American Mathematical Society [List of review]

Memberships:

Iranian Mathematical Society

Research Group in Mathematical Inequalities and Applications (RGMIA)

Taught Courses:

• Calculus I, II, III
• Mathematical Analysis I, II, III
• Complex Variables
• General Topology
• Differential Geometry
• Linear Algebra I, II
• Algebra I, II, III
• Real Analysis I, II
• Functional Analysis I, II
• Banach Algebras [PDF]
• Analytic Number Theory
• Harmonic Analysis on Groups I
• Inequality Theory

Contact me:

E-mail: rooin@iasbs.ac.ir

Mailing Address:
Institute for Advanced Studies in Basic Sciences (IASBS),
P.O.Box 45195-1159,
Zanjan 45195, Iran.

Tel : (+98)241 415-2238

Fax: (+98)241 415-2244

Last update: 24 Sep. 2008