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

J. Rooin,
Ky Fan inequality via convexity, jipam, Volume
9,
Issue 1 (2008), Article 23.

J. Rooin, An approach to Ky Fan type
inequalities from binomial expansion, to appear in
Mathematical Inequalities &
Applications.

J. Rooin, Some refinements of discrete
Jensen's Inequality and some of Its applications,
Nonlinear Functional
Analysis and Applications, vol. 12, No. 1(2007), 107118.
 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),
517527.

J. Rooin, Some new proofs of Ky Fan's
inequality,
International
Journal of Applied Mathematics, Vol 20, No. 3 (2007), 285291.
 J. Rooin,
Some refinements of relative information inequality,
Creat Math. Inform., 16 (2007),
9598.

J. Rooin, Ky Fan's inequality
with binomial expansion,
Elemente Der Mathematik, 60 (2005), 171173.

J. Rooin, A
refinement of Jensen's
inequality, jipam, Volume 6,
Issue 2 (2005), Article 38.

J. Rooin, Some refinements of Ky Fan's
and Sandor's inequalities,
Southeast Asian Bulletin of
Mathematics, Vol. 27 (2004), 11011109.

J. Rooin, Some new proofs for the AGM
inequality, Mathematical Inequalities &
Applications, Vol. 7, No. 4 (2004), 517521.

J. Rooin, AGM inequality with binomial
expansion,
Elemente Der Mathematik,
58 (2003), 115117.
 A. R. Medghalchi and J. Rooin, Some
refinements of the Triangle and CauchySchwartz inequalities in Inner
products spaces,
Inequality
Theory & Applications, Vol. 2, Nova Science Publishers, USA,
2003, pp. 133138.
 J. Rooin, On Ky Fan's
inequality and its additive analogues,
Mathematical Inequalities &
Applications, Vol. 6, No. 4 (2003), 595604.

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) 5157.
 J. Rooin, Another proof of the
ArithmeticGeometric Mean inequality,
The Mathematical
Gazette, 85 (2001), 285286.
 J. Rooin, Grouping of terms and
divergence of Harmonic Series,
The Mathematical
Gazette, 85 (2001), 512513.
 J. Rooin, Some aspects of convex
functions and their applications, jipam, Volume
2,
Issue 1(2001), Article 4.
 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:
 [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]
 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 doubleweighted 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:

J. Rooin and A. Morassaei, Multiweighted refinement of
Jensen's inequality with applications, 39th Annual Iranian Mathematics
Conference, 2427 August 2008, Shahid
Bahonar University of Kerman,
Kerman, Iran.

J. Rooin, An extension of Alzer's inequality via convexity with
applications, MIA 2008 Conference, 814 June 2008, TrogirSplit,
Croatia.
 J. Rooin and A. Morassaei, A doubleweighted refinement of
Jensen's inequality, International
Conference of Numerical Analysis and Applied MathematicsSymposium:
Inequalities with Applications in Numerical Analysis (ICNAAM), Corfu, Greece, 1620
September 2007.
 J. Rooin and A. Morassaei, On Jensen's inequality,
38th Annual Iranian Mathematics Conference, 36 September 2007, Zanjan University,
Zanjan, Iran [ selected photos: ziped file 63.4 MB
 a clip 34.3 MB ].

J. Rooin and A. M. Tahghighi, Some
refinements of AGM inequality and applications, 38th Annual Iranian
Mathematics Conference, September 36, 2007, Zanjan University,
Zanjan, Iran.
 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.
 J. Rooin, Weighted refinements of Jensen's inequality with
applications, 35th Annual Iranian Mathematics Conference, January
26January 29, 2005, Shahid Chamran
University, Ahwaz, Iran.
 J. Rooin,
Some refinements of discrete Jensen's Inequality,
International Conference NFAA 2004, August 913, 2004, Korea.

J. Rooin, Some
new inequalities between important
means, 14th Seminar on Mathematical
Analysis and applications, Iran
University of Science and Technology, 45 February 2004, Tehran, Iran.

J. Rooin, On Ky Fan's
inequality,
Third Joint Seminar On Applied Mathematics, Baku State
University & Zanjan University, 68 September 2002,
Baku, Azerbaijan.

J. Rooin, Some refinements of Ky Fan's
inequality, Second joint Seminar Of Zanjan and
Baku State Uni., September
2000, Zanjan Uni, Zanjan, Iran.
 J. Rooin, An additive analogue of Ky Fan's
inequality, 32th Iranian Mathematical Conference, Mazandaran
Uni,
2000, Basbolsar, Iran.
Preprints:
 J. Rooin, Some refinements of Entropy Inequality, RGMIA Research Report Collection,
6(3) (2003), 571574.

J. Rooin, M.Tahghighi and H. Teimoori, A
note on the Entropy Inequality,
RGMIA Research Report Collection,
5(2) (2002),
351352.
Papers in Preparation:
 J. Rooin and M. Morassaei, A
multiweighted refinement of the integral form of Jensen's inequality with
applications.
 J. Rooin and
A.
Morasaei, Hadamard Inequalities in topological groups.
 J. Rooin, An extension of Alzer's inequality by
convexity.
 J. Rooin, An extension of Cantor set
preserving uncountability.
 J. Rooin and M. Bayat, Two important sharp inequalities in L^2[0,1].

J. Rooin,
Some Doubleweighted refinements of H\"{o}lder and CauchySchwartz
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 45, 2004, Iran
University of Science and Technology, Tehran, Iran.
Review Experience:
Reviewer of the American
Mathematical Society [List
of review]
Memberships:
Iranian Mathematical
Society
American 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:
Email: rooin@iasbs.ac.ir
Mailing Address:
Institute for Advanced Studies in Basic
Sciences (IASBS),
P.O.Box
451951159,
Zanjan 45195, Iran.
Tel : (+98)241
4152238
Fax:
(+98)241 4152244
Last update:
24 Sep. 2008