Publications of Assist. Prof. Nikola Nikola, Ph. D.
B. Bojanov and N. Naidenov, An extension of the Landau-Kolmogorov inequality. Solution of a problem of Erdős, J. Analyze Math. Vol 78 (1999), 263-280.
B.D.Bojanov and N.G. Naidenov, Examples of Landau Kolmogorov inequality in integral norms on a finite interval, J. Approx. Theory, 117 (2002), 55-73.
B. Bojanov and N. Naidenov, Exact Markov type inequalities for oscillating perfect splines, Constr. Approx., 18 (2002), 37-59.
B. Bojanov and N. Naidenov, Alternation property andMarkov’s inequality for Tchebycheff systems, East J. on Approx., 10, 4 (2004), 481-503.
L. Milev and N. Naidenov, Markov’s inequalities in integral norm for oscillating weighted polynomials, in ”Approximation Theory: A volume dedicated to Borislav Bojanov”, (D. K. Dimitrov, G. Nikolov, and R. Uluchev, Eds.), pp. 176-185, Marin Drinov Academic Publishing House, Sofia, 2004.
L. Milev and N. Naidenov, An extension of the Markov inequality for the Laguerre weight, East J. on Approx., 11, (2005), 109-118.
N. Naidenov, Algorithm for the construction of the smoothest interpolant, East J. Approx., 1, 1 (1995), 83-97.
N. Naidenov, Landau-type extremal problem for the triple ||f||∞, ||f'||p, ||f''||∞ on a finite interval, J. Approx. Theory. 123 (2003), 147-161.
N. Naidenov, On an extremal problem of Kolmogorov type for functions from W4∞ ([a, b]), East J. on Approx., 9, 1 (2003), 117-135.
N. Naidenov, Estimates for the derivatives of oscillating polynomials, East J. on Approx., 11, 3 (2005), 301-336.