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Publications of Assoc. Prof. Borislav Draganov, Ph. D.


Note: Preprints and pdf's are available here.

 

  1. A new modulus of smoothness for trigonometric polynomial approximation, East J. Approx. 8 (2002), 4, 465-499.
  2. A new modulus of smoothness for trigonometric polynomial approximation,  Constructive Theory of Functions, Varna, 2002. Proc. Ed. B. Bojanov, Darba, Sofia, 2003, 245-250.
  3. The trigonometric analogue of the Taylor's formula and its application, Annuaire Univ. Sofia Fac. Math. Inform.  96 (2004), 141-154.
  4. (with Kamen G. Ivanov) A new characterization of weighted Peetre K-functionals, Constr. Approx. 21 (2005), 113-148.
  5. (with Kamen G. Ivanov) A Characterization of Weighted Lp Approximations by the Gamma and the Post-Widder Operators, Proc. intern. conf. "Constructive Theory of Functions, Varna 2005'', Ed. B. Bojanov, Marin Drinov Academic Publishing House, Sofia, 2006, 80-87.
  6. (with Kamen G. Ivanov) Characterizations of Weighted K-Functionals and Their Application, Proc. intern. conf. "Constructive Theory of Functions, Varna 2005'', Ed. B. Bojanov, Marin Drinov Academic Publishing House, Sofia, 2006, 88-97.
  7. (with Kamen G. Ivanov) A new characterization of weighted Peetre K-functionals (II), Serdica Math. J. 33 (2007), 59-124.
  8. (with Kamen G. Ivanov) A characterization of weighted approximations by the Post-Widder and the Gamma operators, J. Approx. Theory 146 (2007), 3-27.
  9. (with Kamen G. Ivanov) Equivalence between K-functionals based on continuous linear transforms, Serdica Math. J. 33 (2007), 475-494.
  10. Simultaneous approximation of functions by Fejér-type operators in a generalized Hölder norm, East J. Approx. 14 (2008), 439-449.
  11. Exact estimates of the rate of approximation of convolution operators, J. Approx. Theory 162 (2010), 952-979. 
  12. (with Kamen G. Ivanov) A Characterization of Weighted Approximations by the Post-Widder and the Gamma Operators (II), J. Approx. Theory 162 (2010), 1805-1851.
  13. On the approximation by convolution operators in homogeneous Banach
    spaces of periodic functions, Math. Balkanica 25 (2011), 39-59.
  14. (with Parvan E. Parvanov) On estimating the rate of best trigonometric approximation by a modulus of smoothness, Acta Math. Hungar. 131 (2011),  360-379.
  15.  Estimating the rate of best trigonometric approximation in homogeneous Banach spaces by moduli of smoothness, Proc. intern. conf. "Constructive Theory of Functions",  Sozopol 2010: In Memory of Borislav Bojanov, Eds. G. Nikolov and R. Uluchev, Marin Drinov Academic Publishing House, Sofia, 2012, 80-92.  


Submitted:

On the approximation by convolution operators in homogeneous Banach spaces on R^d, submitted to Math. Balkanica.

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