Payuchenko Nikita Slavich

Publications in Math-Net.Ru

1. Sharp Kolmogorov inequality between the $L_{2r}$-norm of the derivative, the $L_r$-norm of the function and the asymmetric $L_\infty$-norm of the second derivative on the real line
   
   Mat. Zametki, 119:2 (2026),  266–273
2. On Kolmogorov's inequality for the first and second derivatives on the axis and on the period
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 28:2 (2022),  84–95
3. Reduction of the Kolmogorov inequality for a non negative part of the second derivative on the real line to the inequality for convex functions on an interval
   
   Sib. Èlektron. Mat. Izv., 18:2 (2021),  1625–1638
4. Markov’s weak inequality for algebraic polynomials on a closed interval
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 25:2 (2019),  160–166