Inhaltspezifische Aktionen

Publication

Publications


Submitted

 

  • E. E. Berdysheva, N. Dyn, E. Farkhi, A. Mokhov, Metric Fourier approximation of set-valued functions of bounded variation, arXiv:2008.10340.
  •  E. E. Berdysheva and Sz. Gy. Révész, Delsarte's extremal problem and packing on locally compact Abelian groups (published as a preprint of the Isaac Newton Institute for Mathematical Sciences, University of Cambridge), arXiv:1904.03614.

 


Peer reviewed publications

 

  • E. E. Berdysheva, S. N. Mekhmonzoda, M. Sh. Shabozov, Approximation of functions of several variables by continuous linear splines on rectilinear grids, Jaen Journal on Approximation, in press.
  •  E. E. Berdysheva, K. Hennings, and M. Heilmann, Pointwise convergence of Bernstein-Durrmeyer type operators with respect to a collection of measures, J. Approx. Theory 251 (2020), Article 105339 (12 pages).
  • E. E. Berdysheva, N. Dyn, E. Farkhi, A. Mokhov, Metric approximation of set-valued functions of bounded variation, J. Comput. Appl. Math. 349 (2019), 251-264.
  • E. E. Berdysheva and M. A. Filatova, On the best approximation of the infinitesimal generator of a contraction semigroup in a Hilbert space, Ural Mathematical Journal 3(2) (2017), 40-45.
  • E. E. Berdysheva and E. Al-Aidarous, Szasz-Mirakjan-Durrmeyer and Baskakov-Durrmeyer operators with respect to arbitrary measure, Jaen Journal on Approximation 8(1) (2016), 1-26.
  • E. E. Berdysheva, Operators of Durrmeyer type with respect to arbitrary measure, In: Mathematical Analysis and its Applications (P.N. Agrawal, R.N. Mohapatra, U. Singh, H.M. Srivastava, Eds.), Springer Proceedings in Mathematics & Statistics, Springer (2015), 255-263.
  • E. E. Berdysheva and H. Berens, On a discrete Turán problem for ℓ-1 radial functions, Chapter 19, In: New Perspectives on Approximation and Sampling Theory - Festschrift in honor of Paul Butzer's 85th birthday (G. Schmeisser and A. Zayed, Eds.), Applied and Numerical Harmonic Analysis, Birkhaeuser (2014), 447-468.
  • E. E. Berdysheva and B.-Z. Li, On Lp-convergence of Bernstein-Durrmeyer operators with respect to arbitrary measure, Publ. Inst. Math., Nouv. Ser. 96(110) (2014), 23-29.
  • E. E. Berdysheva, Bernstein-Durrmeyer operators with respect to arbitrary measure, II: pointwise convergence, J. Math. Anal. Appl. 418 (2014), 734-752.
  • E. E. Berdysheva, Uniform convergence of Bernstein-Durrmeyer operators with respect to arbitrary measure, J. Math. Anal. Appl. 394 (2012), 324-336.
  • E. E. Berdysheva and K. Jetter, Multivariate Bernstein-Durrmeyer operators with arbitrary weight functions, J. Approx. Theory 162 (2010), 576-598.
  • U. Abel and E. E. Berdysheva, Complete asymptotic expansion for multivariate Bernstein-Durrmeyer operators and quasi-interpolants, J. Approx. Theory 162 (2010), 201-220.
  • E. E. Berdysheva and H. Berens, Über ein Turánsches Problem für ℓ-1 radiale, positiv denite Funktionen, II, J. Approx. Theory 160 (2009), 71-88.
  • E. E. Berdysheva, Studying Baskakov-Durrmeyer operators and quasi-interpolants via special functions, J. Approx. Theory 149 (2007), 131-150.
  • E. E. Berdysheva, K. Jetter, and J. Stöckler, Durrmeyer operators and their natural quasi-interpolants, In: Topics in Multivariate Approximation and Interpolation (K. Jetter et al., Eds.), Elsevier (2006), 1-21.
  • E. E. Berdysheva and H. Berens, Über ein Turánsches Problem für ℓ-1 radiale, positiv denite Funktionen, Result. Math. 47 (2005), 17-32.
  • E. E. Berdysheva, K. Jetter, and J. Stöckler, Bernstein-Durrmeyer type quasi-interpolants on intervals, In: Approximation Theory: A volume dedicated to Borislav Bojanov (D.K. Dimitrov, G. Nikolov, and R. Uluchev, Eds.), Marin Drinov Acad. Publ. House, Sofia (2004), 32-42.
  • E. E. Berdysheva, K. Jetter, and J. Stöckler, New polynomial preserving operators on simplices: Direct results, J. Approx. Theory, 131 (2004), 59-73.
  • E. E. Berdysheva, An optimal set for the modulus of continuity in the exact Jackson inequality in L2, Math. Notes 76, 5 (2004), 620-627. Russian original: Mat. Zametki 76, 5 (2004), 666-674.
  • V. V. Arestov, E. E. Berdysheva, and H. Berens, On pointwise Turán's problem for positive denite functions, East J. Approx. 9 (2003), 31-42.
  • V. V. Arestov and E. E. Berdysheva, The Turán problem for a class of polytopes, East J. Approx. 8 (2002), 381-388.
  • V. V. Arestov and E. E. Berdysheva, Turán's problem for positive denite functions with supports in a hexagon, Proc. Steklov Inst. Math., Suppl. 1 (2001), S20-S29. Russian original: Trudy Instituta Matematiki i Mekhaniki UrO RAN, V.7, N 1 (2001), 21-29.
  • E. E. Berdysheva, Several related extremal problems for multivariate entire functions of exponential type, East J. Approx. 6 (2000), 241-260.
  • E. E. Berdysheva, Two related extremal problems for entire functions of several variables, Math. Notes 66 (1999), 271-282. Russian original: Mat. Zametki 66 (3) (1999), 336-350.
  • E. E. Berdysheva, An extremal problem for entire functions of exponential type with nonnegative mean value, East J. Approx. 3 (1997), 393-402.
  • E. E. Berdysheva, On the best approximation of the dierentiation operator in L₂(0,∞), East J. Approx. 2 (1996), 281-287.