Moment of Inertia index

The main item here is still 'in preparation for proper journal submission'.

• submitted Nov 06, and Dec 06 to Jnl of Inequalities in Pure and Appl. Math.
  • Avkhadiev paper pdf (accepted)
  • Alesker paper (Nov06)
• Research report 06
  • 2006 RGMIA research report
  • local copy of the RGMIA research report:
    Hadwiger report
    
  • RGMIA site. On Hadwiger's Results Concerning Minkowski Sums and Isoperimetric Inequalities for Moments of Inertia. RGMIA Research Report
• 2004 very preliminary draft on on moment of inertia items
  (Just informal notes)
  MomInertia/MomIC04/momIC.pdf
  

Misc URLs, etc. - mostly "etc."

• http://www.cecm.sfu.ca/projects/CCA/LLT/
  (Legendre-)Fenchel transform (multivariable). Think I only need single variable version.
• My downloaded pdfs are just on my local machine in home/keady2
• I have paper copies of most of these older papers
  • MR0164281 (29 #1579) Chakerian, G. D.; Stein, S. K. On the centroid of a homogeneous wire. Michigan Math. J. 11 1964 189--192.
  • MR0244859 (39 #6173) Eggleston, H. G. The centroid and circumcentre of a plane convex set. Compositio Math. 21 1969 125--136.
  • MR0235460 (38 #3769) Chernoff, Paul R. Am area-width inequality for convex curves. Amer. Math. Monthly 76 1969 34--35.
  • MR0232283 (38 #609) Ting, Tsuan Wu Upper and lower bounds of the radii of gyration of convex bodies. II. J. Math. Mech. 18 1968/1969 357--368.
    MR0147967 (26 #5478) Ting, Tsuan Wu An isoperimetric inequality for moments of inertia of plane convex sets. Trans. Amer. Math. Soc. 107 1963 421--431.
  • MR0227865 (37 #3449) Alipov, Ju. M.; Zalgaller, V. A. An isoperimetric problem on the maximum of the moment of inertia. (Russian) Izv. Vys\v s. U\v cebn. Zaved. Matematika 1968 1968 no. 4 (71), 3--5.
  • MR0163213 (29 #516) Firey, Wm. J. The mixed area of a convex body and its polar reciprocal. Israel J. Math. 1 1963 201--202.
  • (The functional PolyaSzego and I denote B_D)
    MR0123968 (23 #A1289) Aissen, M. I. A set function defined for convex plane domaines. Pacific J. Math. 8 1958 383--399.
  • Gardner, R.; KwapieÅ, StanisÅW; Laurie, D. Some inequalities related to planar convex sets, Canad. Math. Bull. 25 (1982), no. 3, pp.302-310. ...