Dr. Alexander Goncharov
Bases in the spaces of Whitney jets in Banach Journal of Mathematical Analysis, 2022, no. 16, pp. 1-17 by Goncharov A. [Link]
Quasi-equivalence of bases in some Whitney spaces in Canadian Mathematical Bulletin, 2022, vol. 65 (1), pp. 106-115 by Goncharov A. and Sengul Y. [Link]
Logarithmic dimension and bases in Whitney spaces in Turkish Journal of Mathematics, 2021, vol. 45 (4), pp. 1580-1591 by Goncharov A., Tezel S.Y. [Download] [Link]
On the absence of stability of bases in some Frechet spaces in Analysis Mathematica, 2020, vol. 46 (4), pp. 761-768 by Goncharov A. [Download] [Link]
Bases in some spaces of Whitney functions in Annals of Functional Analysis, 2018, vol. 9 (1), pp. 56-71 by Goncharov A., Ural Z. [Download] [Link]
Orthogonal Polynomials on Generalized Julia Sets in Complex Analysis and Operator Theory, 2017, vol. 11, pp. 1845-1864. Alpan G., Goncharov A. [Download] [Link]
Some Open Problems Concerning Orthogonal Polynomials on Fractals and Related Questions in Dolomites Research Notes on Approximation, 2017, vol. 10, pp. 13-17 by Alpan G., Goncharov A. [Download] [Link]
Mityagin's extension problem. Progress report in Journal of Mathematical Analysis and Applications, 2017, vol. 448 (1), pp. 357-375 by Goncharov A., Ural Z. [Download] [Link]
Asymptotic Properties of Jacobi Matrices for a Family of Fractal Measures in Experimental Mathematics, 2016, vol. 27 (1), pp. 10-21 by Alpan G., Goncharov A., Nihat A. [Download] [Link]
Some asymptotics for extremal polynomials. Chapter 7 in Computational analysis, Springer Proceedings in Mathematics & Statistics, Anastassiou, G., Duman, O. (eds), 2016, vol. 155, pp. 87-101, Springer, Cham. by Alpan G., Goncharov A., Hatinoglu B. [Download] [Link]
Orthogonal polynomials for the weakly equilibrium Cantor sets in Proceedings of the American Mathematical Society, 2016, vol. 144 (9), pp. 3781-3795 by Alpan G. and Goncharov A. [Download] [Link]
Widom factors for the Hilbert norm in Constructive approximation of functions, Banach Center Publications, 2015, 107 (1), pp. 11-18 by Alpan G. and Goncharov A. [Download] [Link]
Widom Factors in Potential Analysis, 2015, vol. 42 (3), pp. 671-680 by Goncharov A. and Hatinoglu B. [Download] [Link]
Best exponents in Markov's inequalities in Mathematical Inequalities and Applications, 2014, 17 (4), pp. 1515-1527 by Goncharov A. [Download] [Link]
Two Measures on Cantor Sets in Journal of Approximation Theory, 2014, 186, pp. 28-32 by Alpan G. and Goncharov A. [Download] [Link]
Weakly Equilibrium Cantor-type sets in Potential Analysis, 2014, vol. 40 (2), pp. 143-161 by Goncharov A. [Download] [Link]
Interpolating basis in the space Coo[-1, 1]d in Proceedings of the International Conference Constructive Theory of Functions - 2013, Sozopol, 9-14.06.2013, Ivanov K., Nikolov G., Uluchev R. (Eds.), Sofia: Martin Drinov Academic Publishing House, 2014, pp. 97-100 by Goncharov A. [Download] [Link]
Smoothness of the Green Function for a Special Domain in Annales Polonici Mathematici, 2012, vol. 106, pp. 113-126 by Celik S., Goncharov A. [Download] [Link]
Kolmogorov-Landau functions in Proceedings of the International Conference Constructive Theory of Functions - 2010, Sozopol, 3-10.06.2010, Nikolov G., Uluchev R. (Eds.), Sofia: Martin Drinov Academic Publishing House, 2012, pp. 118-125 by Goncharov A. [Download] [Link]
Bases in Banach spaces of smooth functions on Cantor-type sets in Journal of Approximation Theory, 2011, vol. 163, pp. 1798-1805 by Goncharov A. and Ozfidan N. [Download] [Link]
On Smoothness of the Green Function for the Complement of a Rarefied Cantor-Type Set in Constructive Approximation, 2011, vol. 33, pp. 265-271 by Altun M. and Goncharov A. [Download] [Link]
On growth of norms of Newton interpolating operators in Acta Mathematica Hungarica, 2009, 125 (4), pp. 299-326 by Goncharov A. [Download] [Link]
Wavelet Basis in the in the space Coo[-1, 1] in The Open Mathematics Journal, 2008, vol. 1, pp. 19-24 by Goncharov A. and Kavruk A. [Download] [Link]
On characterization of the extension property in The proceedings of 6-th International ISAAC Congress, Ankara: World Scientific Publishing Co., 2007, pp.229-232 by Goncharov A. [Download] [Link]
On the geometric characterization of the extension property in The Bulletin of the Belgian Mathematical Society - Simon Stevin, 2007, vol. 14, pp. 513-520 by Goncharov A. [Download] [Link]
Local interpolation and interpolating basis in East Journal on Approximations, 2007, vol. 13(1), pp. 21-36 by Goncharov A. [Download]
Bases in the space of Coo-functions on Cantor-type sets in Constructive Approximation, 2006, vol. 23, pp. 351-360 by Goncharov A. [Download] [Link]
Leja points for Cantor-type sets in Proceedings of the International Conference Constructive Theory of Functions - 2015, Varna, 1-7.06.2005, Bojanov B. (Ed.), Sofia: Martin Drinov Academic Publishing House, 2005, pp. 135-144 by Goncharov A. [Download] [Link]
Diametral dimension of spaces of Whitney jets on sequences of points in Siberian Mathematical Journal, 2005, vol. 46(2), pp. 1-7 by Goncharov A. and Zeki M. [Download] [Link]
A local version of the Pawlucki-Plesniak extension operator in Journal of Approximation Theory, 2005, vol. 132(1), pp. 34-41 by Altun M. and Goncharov A. [Download] [Link]
Extension via interpolation in Proceedings of the Conferences: The Wladyslaw Orlicz Centenary Conference and Function Spaces VII, Warszawa, 20-25.07.2003, Ciesielski Z., Pelczynski A., Skrzypczak L. (Ed.), Warszawa: Institute of Mathematics, Polish Academy of Sciences, 2004, pp. 43-49 by Goncharov A. [Download] [Link]
Basis in the space of Coo-functions on a graduated sharp cusp in The Journal of Geometric Analysis, 2003, vol. 13(1), pp. 95-106 by Goncharov A. and Zahariuta V. [Download] [Link]
Spaces of Whitney functions on Cantor-type sets in Canadian Journal of Mathematics, 2002, vol. 54(2), pp. 225-238 by Arslan B., Goncharov A. and Kocatepe M. [Download] [Link]
On extension property of Cantor-type sets in Function Spaces: Proceedings of the Sixth Conference, Wroclaw, 3-8.09.2001, Grzaslewicz R., Ryll-Nardzewski C., Hudzik H., Musielak J. (Eds.), World Scientific - Mathematics, 2003, pp. 129-137 by Goncharov A. [Download]
On explicit form of extension operator for Coo-functions in East Journal on Approximations, 2001, vol. 7(2), pp. 179-193 by Goncharov A. [Download]
Sequence space representations of spaces of Whitney functions in Results in Mathematics, 2000, vol. 37, pp. 3-12 by Arslan B., Goncharov A., Kocatepe M. [Download] [Link]
Spaces of Whitney functions with basis in Mathematische Nachrichten, 2000, vol. 220(1), pp. 45-57 by Goncharov A. [Download] [Link]
Isomorphic classification of the spaces of Whitney functions in The Michigan Mathematical Journal, 1997, vol. 44(3), pp. 555-577. Goncharov A. and Kocatepe M. [Download] [Link]
Perfect sets of finite class without the extension property in Studia Mathematica, 1997, vol. 126, pp. 161-170 by Goncharov A. [Download] [Link]
A continuum of pairwise nonisomorphic spaces of Whitney functions on Cantor-type sets in Linear Topological Spaces and Complex Analysis, 1997, vol. 3, pp. 57-64, Ankara: Middle East Technical Universty Press by Goncharov A., Kocatepe M. [Download]
A compact set without Markov's property but with an extension operator for Coo-functions in Studia Mathematica, 1996, vol. 119(1), pp. 27-35 by Goncharov A. [Download] [Link]
On isomorphic classification of tensor products Eoo(a)xE'oo(b) in Dissertationes Mathematicae, Warszawa: Institute of Mathematics, Polish Academy of Sciences, 1996, vol. CCCL, 27 pp. by Goncharov A., Terziouglu T., Zahariuta V. [Download] [Link]
Linear topological invariants for tensor products of power F- and DF-spaces in Turkish Journal of Mathematics, 1995, vol. 19, pp. 90-101. Goncharov A., Zahariuta V. [Link]
Compound invariants and spaces of Coo functions in Linear Topological Spaces and Complex Analysis, 1995, vol. 2, pp. 45-55, Ankara: Middle East Technical Universty Press by Goncharov A.
Some open problems in the theory of locally convex spaces in Linear Topological Spaces and Complex Analysis, 1994, vol. 1, pp. 147-165, Ankara: Middle East Technical Universty Press by Aytuna A., Djakov P., Goncharov A., Terziouglu T., Zahariuta V. [Download]
On Isomorphic classification of spaces sxE'oo(a) in Linear Topological Spaces and Complex Analysis, 1994, vol. 1, pp. 14-24, Ankara: Middle East Technical Universty Press by Goncharov A., Terziouglu T., Zahariuta V. [Download]