Prudnikov Igor Mikhailovich

Publications in Math-Net.Ru

1. On the representability of a function of two variables as the difference of two convex functions
   
   Sibirsk. Mat. Zh., 55:6 (2014),  1368–1380
2. A method of construction of exhaustive family of upper convex approximations
   
   Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2013, no. 1,  37–51
3. $C^2(D)$-integral approximation of nonsmooth functions conserving $\varepsilon(D)$-extremum points
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 16:5 (2010),  159–169
4. The average value of profit in infinite coalition games
   
   Mat. Teor. Igr Pril., 1:4 (2009),  111–124
5. Procedures for the lower convex approximations construction
   
   Zh. Vychisl. Mat. Mat. Fiz., 43:7 (2003),  939–950
6. The Use of Certain Equations of Mathematical Physics in Optimization of a Function on a Set. II
   
   Avtomat. i Telemekh., 2002, no. 12,  32–40
7. The Use of Certain Equations of Mathematical Physics in Optimization of a Function on a Set. I
   
   Avtomat. i Telemekh., 2002, no. 11,  76–87
8. Lower convex approximations of Lipschitzian functions
   
   Zh. Vychisl. Mat. Mat. Fiz., 40:3 (2000),  378–386
9. Approximation of multi-valued mappings
   
   Zh. Vychisl. Mat. Mat. Fiz., 37:11 (1997),  1319–1326
10. Application of the Method of Potentials to the Function Optimization over the Set Specified by Linear Inequalities
    
    Avtomat. i Telemekh., 1996, no. 1,  66–82
11. Differential properties of the extremum function with respect to a Lipschitzian many-valued mapping
    
    Zh. Vychisl. Mat. Mat. Fiz., 34:10 (1994),  1347–1357
12. A method for the global optimization of a function and an estimate for the rate of its convergence
    
    Avtomat. i Telemekh., 1993, no. 12,  72–81
13. Necessary and sufficient conditions for the representability of a positive homogeneous function of three variables in the form of a difference of convex functions
    
    Izv. RAN. Ser. Mat., 56:5 (1992),  1116–1128