Dovgoshyi Oleksii

Main publications:

1. Dovgoshey O., Petrov E., Teichert H.-M. On spaces extremal for the Gomory-Hu inequality // p-Adic Numbers, Ultrametric Analysis and Applications. — 2015. — V. 7, No. 2. — P. 123 – 132.

2. Küçükaslan M., Deger U., Dovgoshey O. On statistical convergence of metric valued sequences // Ukr. Math. J. — 2014. — V. 66, No. 5. — P. 712 – 720.

3. Bilet V., Dovgoshey O. Boundedness of pretangent spaces to general metric spaces // Ann. Acad. Sci. Fenn. — 2014. — V. 39, No. 1. — P. 73 – 82.

4. Dovgoshey O., Petrov E., Kozub G. Metric products and continuation of isotone functions // Math. Slovaca. — 2014. — V. 64, No. 1. — P. 187 – 208.

5. Dovgoshey O., Petrov E. On the Gomory-Hu inequality // J. Math. Sci., New York. — 2014. — V. 198, No. 4. — P. 392 – 411.

6. Dovgoshey O., Bilet V. Investigations of strong right upper porosity at a point // Real Anal. Exch. — 2013-2014. — V. 39, No. 1. — P. 175 – 206.

7. Bilet V., Dovgoshey O., Küçükaslan M. Uniform boundedness of pretangent spaces, local constancy of metric derivatives and strong right upper porosity at a point // J. Analysis. — 2013. — V. 21. — P. 31 – 55.

8. Bilet V., Dovgoshey O. Infinitesimal boundedness of metric spaces and strong one-side porosity // Dopovidi NANU. — 2013. — No. 2. — P. 13 – 18 (in Russian).

9. Bilet V., Dovgoshey O. Pretangent spaces with nonpositive and nonnegative Aleksandrov curvature // Mat. Stud. — 2013. — V. 40, No. 2. — P. 198 – 208 (in Russian).

10. Dovgoshey O., Petrov E. Weak similarities of metric and semimetric spaces // Acta Mathematica Hungarica. — 2013. — V. 141, No. 4. — P. 301 – 319.

11. Dovgoshey A. A., Petrov E. A. Subdominant pseudoultrametric on graphs// Sbornik Mathematics. — 2013. — V. 204, No. 8. — P. 1131 – 1151.

12. Dovgoshey O., Riihentaus J. Mean value type inequalities for quasinearly subharmonic functions // Glasgow Math. J. – 2013. – 55, No. 2. – P. 349 – 368.

13. Dovgoshey O., Martio O. Functions transferring metrics to metrics // Beiträge Algebra Geom. – 2013. – 54, No. 1. – P. 237 – 261.

14. Dovgoshey O., Martio O., Vuorinen M. Metrization of weighted graphs // Annals of Combinatorics. — 2013. — V. 17, No. 3. — P. 455 – 476.

15. Dovgoshey A. A.., Dordovskyi D. V. An ultrametricity condition for pretangent spaces // Math. Notes. – 2012. – 92, No.1. – P. 43-60.

16. Babenko V. F.., Dovgoshei A. A., Kuznetsova O. I., Matornyi V. P. Approximation Theory and Harmonic Analysis. – Kiev.: Naukova Dumka, 2012. – 302 p. (in Russian).

17. Bilet V., Dovgoshey O. Metric betweenness, Ptolemaic spaces and isometric embeddings of pretangent spaces in R // J. Math. Sci., New York. – 2012. – 182, No. 4. – Ρ. 22-36.

18. Dovgoshey O., Martio O. Tangent spaces to the general metric spaces // Rev. Roumaine Math. Pures Appl. – 2011. – 56, No. 2. – P. 137-155.

19. Abdullaev F., Dovgoshey O., Küçükaslan M. Metric spaces with unique pretangent spaces. Conditions of the uniqueness // Ann. Acad. Sci. Fenn. – 2011. – 36, No. 2. – P. 353-392.

20. Dovgoshey O., Dordovskyi D., Petrov E. Diameter and Diametrical Pairs of Points in Ultrametric Spaces // P-Adic Numbers, Ultrametric Analisys and Applications. – 2011. – 3, No. 4. – P. 253-262.

21. Abdullaev F., Dovgoshey O., Küçükaslan M. Tangent spaces to metric spaces. Sequential approach // Ukr. Math. Congress – 2009. – Section 2. Topology and Geometry. Kiev, Institute of Mathematics. – 2011. – P. 5-20 (in Russian).

22. Dovgoshei A. A., Petrov E. Ptolemaic spaces // Siberian Math. J. – 2011. – 52, No. 2. – P. 222-229.

23. Abdullaev F., Dovgoshey O., Küçükaslan M. Compactness and boundedness of tangent spaces to metric spaces // Beitrage Algebra Geom. – 2010. – 5, No. 2. – P. 547-576.

24. Dovgoshey O., Dordovskyi D. Ultrametricity and metric betweenness in tangent spaces to metric spaces // P-Adic Numbers, Ultrametric Anal. Appl.. – 2010. – 2, No. 2. – P. 100-113.

25. Dovgoshei A. A., Dordovskyi D. V. Betweenness relation and isometric imbeddings of metric spaces // Ukr. Math. J. – 2009. – 61, No. 10. – P. 1319-1328.

26. Dovgoshey O., Martio O. Products of Metric Spaces, Covering Numbers, Packing Numbers, and Characterizations of Ultrametric Spaces // Rev. Roumaine Math. Pures Appl. – 2009. – 54, No. 5-6. – P. 423 – 439.

27. Dovgoshey O. Tangent spaces to metric spaces and to their subspaces // Ukr. Math. Visn. – 2008. – 5, No. 4 – P. 470 – 487.

28. Dovgoshey O., Martio O. Blow up of balls and coverings in metric spaces // Manuscripta Math. – 2008. – 127. – P. 89 – 121.

29. Dovgoshei A., Martio O. Mutually singular functions and computation of the lengths of curves // Izvestiya: Mathematics. – 2006. – 70, No. 4. – P. 693 – 716.

30. Dovgoshey O., Martio O., Ryazanov V., Vuorinen M. Linear distortion of Hausdorff dimension and Cantor’s function // Collectanea Mathematica. – 2006. – 57, No. 2. – P. 193-210.

31. Dovgoshey O., Martio O., Ryazanov V., Vuorinen M. The Cantor function // Espositiones Mathematicae. – 2006. – 24, No. 1. – P. 1-37.

32. Dovgoshey O. Certain Characterizations of Caratheodory Domains // Comput. Methods Func. Theory. – 2005. – 5, No. 2 – P. 489 – 503.

33. Dovgoshei A., Abdullaev F., Küçükaslan M. The logarithmic asymptotic expansions for the norms of evaluation functionals // Siberian Math. J. – 2005. – 46, No. 4. – P. 613-622.

34. Abdullaev F. G., Dovgoshei A. A. Szegö theorem, Caratheodory domains, and boundedness of calculating functionals // Math. Notes. – 2005. – 77, No. 1. – P. 3-15.

35. Dovgoshei A. A., Potemkina L. L. Analyticity of higher-order moduli of continuity of real-analytic functions // Ukr. Math. J. – 2003. – 55, No. 6. – P. 750-761.

36. Dovgoshei A. A., Potemkina L. L. Modulus of continuity of piecewise analytic functions // Math. Notes. – 2003. – 73, No. 1. – P. 58-70.

37. Dovgoshei A. A. Three-term recurrence relation for polynomials orthogonal with respect to harmonic measure // Ukr. Math. J. – 2001. – 53, No. 2. – P. 167-177.

38 Dovgoshei A. A. Approximation on subsets and holomorphy in neighborhood // Analysis Math. – 2000. – 26, No. 1. – P 3-15 (in Russian).

39. Dovgoshey O. On the families of everywhere dense sets of finite topological spaces // Tr. Inst. Prikl. Math. Mech. NASU, Donetsk. – 1999. – 4. – P. 68-77 (in Russian).

40. Dovgoshey O. Orthogonal harmonic polynomials in simply connected domains on the plane // Tr. Inst. Prikl. Math. Mech. NASU, Donetsk. – 1998. – 3. – P. 56-64 (in Russian).

41. Dovgoshei A. A. Polynomial approximation on compact sets of zero logarithmic capacity, and the analyticity of functions // Analysis Math. – 1997. – 23, No. 2. – P. 77-98 (in Russian).

42. Dovgoshei A. A. The F. and M. Riesz’ theorem and Caratheodory domains // Analysis Math. – 1995. – 21, Ή 2. – Ρ. 165-175.

43. Dovgoshei A. A. Uniform polynomial approximation of entire functions on arbitrary compact sets in the complex plane // Math. Notes. – 1995. – 58, No. 3 – P. 355-364.

44. Dovgoshei A. A. Approximation of analytic functions in some functional spaces and the rational approximation of functions from Hardy classes // Math. Notes. – 1993. – 53, No. 2 – P. 158-162.

45. Dovgoshei A. A. Continua with the Dirichlet property and products of Hardy spaces // Ukr. Math. J. – 1992. – 44, No. 10. – P. 1224-1228.

46. Dovgoshei A. A. Families of functions with equiabsolutely continuous integrals // Ukr. Math. J. – 1992. – 44, No. 2. – P. 159-164.

47. Dovgoshei A. A. Integral representations in Hardy classes and best approximations in certain functional spaces // Ukr. Math. J. – 1991. – 43, No. 3. – P. 306-311.