List of Publications
List of Publications
• Yuliya Babenko, Asymptotically Optimal Partitions and Exact Asymptotics of the Optimal Error for Bilinear Spline Near Interpolation of Piecewise $C^2$ Functions , in preparation.
• Yuliya Babenko, On Kolmogorov Problem for Functions Defined on a Finite Interval with Second Derivatives from Orlich Spaces , in preparation.
• Yuliya Babenko, Asymptotically Optimal Triangulations and Exact Asymptotics for the Optimal $L_2$-Error for Linear Spline Interpolation of $C^2$ Functions, submitted.
• Yuliya Babenko, V. Babenko, A. Ligun, A. Shumeiko, On asymptotical behavior of the optimal linear spline interpolation error of $C^2$ functions , East Journal on Approximations, accepted.
file
• Yuliya Babenko, A. Kroo, Markov-type inequalities for homogeneous polynomials on non symmetric star-like domains , Frontiers in Interpolation and Approximation, Taylor&Francis Group, USA, 2006, Editors N.K. Govil et.al, pp. 1 -- 15.
file
• Yuliya Babenko, V. Babenko, Kolmogorov Problem for Arbitrary Four Numbers on the Class of Multiply Monotone Functions , Constructive Approximation, accepted.
• Yuliya Babenko, V. Babenko, The Kolmogorov Inequalities for Multiply Monotone Functions Defined on a Half-line, East Journal on Approximations , 11 (2005), no. 2, 169--186.
file
• Yuliya Babenko, V. Babenko, The Olovyanishnikov Inequality for Multivariate Functions , Approximation Theory: A Volume Dedicated to Borislav Boyanov, Academic Publishing House, Sofia, 2004.
file
• Yuliya Babenko, V. Babenko, The Kolmogorov Inequality for Absolutely Monotone Functions on a Half-Line, Advances in constructive approximation: Vanderbilt 2003, 63--74, Mod. Methods Math., Nashboro Press, Brentwood, TN, 2004.
file
• Yuliya Babenko, V. Babenko, About Kolmogorov type inequalities for functions defined on a half line, Constructive theory of functions, 205--208, DARBA, Sofia, 2003.
• Yuliya Babenko, Pointwise Inequalities of Landau-Kolmogorov Type for Functions Defined on a Finite Interval, Ukrainian Mathematical Journal, V.52, N.2, 2001, pp. 270--275.
file
• Yuliya Babenko, Exact Inequalities of Landau Type for Functions with Second Derivatives from Orlich Spaces, Bulletin of Dnepropetrovsk National University, 2001.
• Yuliya Babenko, E. Babenko, Correlative Relationship between Firmness and Microfirmness of Titanium Powders Received from Conversion Wastes, Bulletin of Dnepropetrovsk National University, 1999.