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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics

Izv. Saratov Univ. Math. Mech. Inform., 2015, Volume 15, Issue 3, Pages 288–300 (Mi isu595)

Gluing rule for Bernstein polynomials on the symmetric interval
I. V. Tikhonov, V. B. Sherstyukov, M. A. Petrosova

This publication is cited in the following articles:
  1. I. V. Tikhonov, V. B. Sherstyukov, D. G. Tsvetkovich, “Generalized Popoviciu Expansions for Bernstein Polynomials of a Rational Module”, J Math Sci, 263:4 (2022), 532  crossref
  2. Demkiv I.I., Baranetskij Ya.O., “On the Approximation of Urysohn Operator on a Symmetrical Interval With Bernstein-Type Operator Polynomials”, J. Numer. Appl. Math., 2021, no. 3, 57–65  isi
  3. M. A. Petrosova, I. V. Tikhonov, V. B. Sherstyukov, “Algebraicheskaya zapis polinomov Bernshteina na simmetrichnom otrezke i svyazannye s nei kombinatornye sootnosheniya”, Vladikavk. matem. zhurn., 21:3 (2019), 68–86  mathnet  crossref  elib
  4. I. V. Tikhonov, V. B. Sherstyukov, D. G. Tsvetkovich, “Obobschennye razlozheniya Popovichu dlya polinomov Bernshteina ot ratsionalnogo modulya”, Materialy Voronezhskoi zimnei matematicheskoi shkoly «Sovremennye metody teorii funktsii i smezhnye problemy». 28 yanvarya–2 fevralya 2019 g.  Chast 1, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 170, VINITI RAN, M., 2019, 71–117  mathnet  crossref
  5. M. A. Petrosova, I. V. Tikhonov, V. B. Sherstyukov, “On growth rate of coefficients in Bernstein polynomials for the standard modulus function on a symmetric interval”, Ufa Math. J., 10:3 (2018), 59–76  mathnet  crossref  isi
  6. I. V. Tikhonov, V. B. Sherstyukov, M. A. Petrosova, “Polinomy Bernshteina dlya standartnogo modulya na simmetrichnom otrezke”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 16:4 (2016), 425–435  mathnet  crossref  mathscinet  elib


© Steklov Math. Inst. of RAS, 2026