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Deikalova Marina Valerevna

Publications


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   2023
1. V. V. Arestov, M. V. Deikalova, “A generalized translation operator generated by the sinc-function on an interval”, Proc. Steklov Inst. Math. (Suppl.), 323, suppl. 1 (2023), S32–S52  mathnet  crossref  crossref  elib  scopus
2. A. G. Babenko, M. V. Deikalova, “On the International S. B. Stechkin's Workshop-Conference on Function Theory Dedicated to the 80th Anniversary of Professor V. V. Arestov”, Trudy Inst. Mat. i Mekh. UrO RAN, 29, no. 4, 2023, 292–295  mathnet  crossref  elib

   2022
3. V. V. Arestov, M. V. Deikalova, “On one generalized translation and the corresponding inequality of different metrics”, Proc. Steklov Inst. Math. (Suppl.), 319, suppl. 1 (2022), S30–S42  mathnet  crossref  crossref  isi  elib  scopus
4. V. V. Arestov, V. I. Berdyshev, A. G. Babenko, M. V. Deikalova, “On S. B. Stechkin's International Workshop-Conference on Function Theory in Memory of Corresponding Member of RAS Y. N. Subbotin and Professor S. A. Telyakovskii”, Trudy Inst. Mat. i Mekh. UrO RAN, 28, no. 4, 2022, 277–285  mathnet  crossref  isi  elib
5. Vitalii V. Arestov, Marina V. Deikalova, “On one inequality of different metrics for trigonometric polynomials”, Ural Math. J., 8:2 (2022), 27–45  mathnet  crossref  mathscinet;

   2021
6. V. V. Arestov, V. I. Berdyshev, A. G. Babenko, Yu. S. Volkov, M. V. Deikalova, “International S.B. Stechkin's Workshop-Conference on Function Theory dedicated to the 85th anniversary of Yu.N. Subbotin and N.I. Chernykh”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 93–108  mathnet  crossref  crossref  isi

   2020
7. V. V. Arestov, V. I. Berdyshev, M. V. Deikalova, S. V. Konyagin, D. S. Telyakovskii, “On the International Workshop-Conference on Function Theory Dedicated to the Centenary of the Birth of S.B. Stechkin”, Trudy Inst. Mat. i Mekh. UrO RAN, 26, no. 4, 2020, 290–299  mathnet  crossref  mathscinet  isi  elib  scopus
8. M. V. Deikalova, A. Yu. Torgashova, “Best one-sided approximation in the mean of the characteristic function of an interval by algebraic polynomials”, Proc. Steklov Inst. Math. (Suppl.), 308, suppl. 1 (2020), S68–S82  mathnet  crossref  crossref  mathscinet  isi  elib

   2018
9. M. V. Deikalova, A. Yu. Torgashova, “One-sided $L$-approximation on a sphere of the characteristic function of a layer”, Ural Math. J., 4:2 (2018), 13-23 https://umj.uran.ru/index.php/umj/article/view/130/pdf_1  mathnet  crossref  mathscinet  elib
10. V. Arestov, A. Babenko, M. Deikalova, Á. Horváth, “Nikol’skii inequality between the uniform norm and integral norm with Bessel weight for entire functions of exponential type on the half-line”, Anal. Math., 44:1 (2018), 21–42  crossref  mathscinet  zmath  isi  scopus

   2017
11. V. Arestov, M. Deikalova, Á. Horváth, “On Nikol’skii type inequality between the uniform norm and the integral $q$-norm with Laguerre weight of algebraic polynomials on the half-line”, J. Approx. Theory, 222 (2017), 40–54  crossref  mathscinet  zmath  isi  elib  scopus
12. V. V. Arestov, M. V. Deikalova, “Jacobi translation and the inequality of different metrics for algebraic polynomials on an interval”, Dokl. Math., 95:1 (2017), 21–25  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2016
13. V. V. Arestov, M. V. Deikalova, “Nikol’skii inequality between the uniform norm and $L_q$-norm with Jacobi weight of algebraic polynomials on an interval”, Anal. Math., 42:2 (2016), 91–120  crossref  mathscinet  zmath  isi  elib  scopus
14. V. V. Arestov, M. V. Deikalova, “Operator obobschennogo sdviga, porozhdennyi vesom Yakobi, i tochnoe neravenstvo Nikolskogo dlya algebraicheskikh mnogochlenov na otrezke”, Trudy Mezhdunarodnoi letnei matematicheskoi Shkoly-Konferentsii S. B. Stechkina po teorii funktsii, Sbornik trudov konferentsii, posvyaschennoi 25-letiyu nezavisimosti Respubliki Tadzhikistan (Dushanbe, Tadzhikistan,15–25 avgusta 2016 g.), Poligrafiya OOO “Khofiz”, Dushanbe, 2016, 36–43 http://hdl.handle.net/10995/42980  elib
15. P. Yu. Glazyrina, M. V. Deikalova, L. F. Korkina, Funktsionalnyi analiz: Tipovye zadachi, Izd-vo Ural. un-ta, Ekaterinburg, 2016 , 214 pp. http://hdl.handle.net/10995/40653

   2017
16. A. G. Babenko, M. V. Deikalova, S. G. Revesz, “Weighted one-sided approximation of characteristic functions of intervals by polynomials on a closed interval”, Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 11–18  mathnet  crossref  mathscinet  isi  elib  scopus

   2015
17. V. Arestov, M. Deikalova, “Nikolskii inequality between the uniform norm and $L_q$-norm with ultraspherical weight of algebraic polynomials on an interval”, Comput. Methods Funct. Theory, 15:4 (2015), 689–708  crossref  mathscinet  zmath  isi  elib  scopus

   2014
18. V. V. Arestov, M. V. Deikalova, “Nikol'skii inequality for algebraic polynomials on a multidimensional Euclidean sphere”, Proc. Steklov Inst. Math. (Suppl.), 284, suppl. 1 (2014), 9–23  mathnet  crossref  mathscinet  isi  elib  scopus

   2012
19. M. V. Deikalova, V. V. Rogozina, “Jackson–Nikol'skii inequality between the uniform and integral norms of algebraic polynomials on a Euclidean sphere”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 4, 2012, 162–171  mathnet  elib
20. P. Yu. Glazyrina, M. V. Deikalova, L. F. Korkina, Normirovannye prostranstva. Tipovye zadachi, ucheb. posobie, Izd-vo Ural, un-ta, Ekaterinburg, 2012 , 108 pp.
21. M. V. Deikalova, “Several extremal approximation problems for the characteristic function of a spherical layer”, Proc. Steklov Inst. Math. (Suppl.), 277, suppl. 1 (2012), 79–92  mathnet  crossref  mathscinet  isi  elib  scopus

   2011
22. M. V. Deikalova, “The integral approximation of the characteristic function of a spherical cap by algebraic polynomials”, Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S74–S85  mathnet  crossref  mathscinet  isi  elib  scopus

   2010
23. P. Yu. Glazyrina, M. V. Deikalova, L. F. Korkina, Lineinye operatory. Tipovye zadachi, ucheb. posobie dlya studentov, obuchayuschikhsya po napravleniyam 010200 “Matematika. Prikladnaya matematika”, 010300 “Matematika. Kompyuternye nauki”, spetsialnosti 010101 “Matematika”, Izd-vo Ural. un-ta, Ekaterinburg, 2010 , 95 pp.

   2009
24. M. V. Deikalova, “About the sharp Jackson–Nikol'skii inequality for algebraic polynomials on a multidimensional Euclidean sphere”, Proc. Steklov Inst. Math. (Suppl.), 265, suppl. 1 (2009), S129–S142  mathnet  crossref  mathscinet  isi  elib

   2008
25. M. V. Deikalova, “The Taikov Functional in the Space of Algebraic Polynomials on the Multidimensional Euclidean Sphere”, Math. Notes, 84:4 (2008), 498–514  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
Full list of publications


© Steklov Math. Inst. of RAS, 2025