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Sklyarov, Vyacheslav Petrovich
Statistics Math-Net.Ru
Total publications: 7
Scientific articles: 7

Number of views:
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Sklyarov, Vyacheslav Petrovich
Associate professor
Candidate of physico-mathematical sciences (1982)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 20.11.1953
E-mail: ,
Website: https://mexmat.sgu.ru/info_staff.php?id=sklyarov&lang=ru
Keywords: approximation theory; polynomial inequalities; Laguerre weight; weighted Lebesgue function.
UDC: 517.518.8, 517.518.82, 517.518.85, 517.518.86, 517.518.862, 517.518
MSC: 41A05, 41A10, 41A05; 41A10, 65D05, 30E10, 47A50

Subject:

A scheme of obtaining direct and indirect theorems of theory of approximation, invented by professor N. P. Kuptsov was shown to be used in spaces $C(-\infty,\infty)$, $C[0,\infty)$. A necessary and sufficient condition of Lagrange–Hermit interpolation process's convergence was obtained in case of uniformly weighted norm. It was pointed out that the left boundary of Mhaskar–Rahmanov–Saff inequality, connected with Laguerre weight, is not asymptotically precise. The way of receiving asymptotically true boundaries in the number of cases was shown.

Biography

Graduated from Faculty of Mathematics and Mechanics of Saratov State University (SSU) in 1976 (department of computing mathematics). Ph.D. thesis was defended in 1982. A list of my works contains more than 25 titles. Since 1990 I work as a member of computing department of Mathematics and Mechanics Faculty of Saratov State University.
   
Main publications:
  • O vybore uzlov interpolirovaniya v prostranstve $C(-\infty,\infty)$ // Izvestiya vuzov. Matematika, 1993, # 11(378), s. 57–61.
  • O skhodimosti interpolyatsionnogo protsessa Lagranzha–Ermita dlya neogranichennykh funktsii // Analysis Mathematica, 1994, # 20, p. 295–308.
  • Ob odnom polinomialnom neravenstve G. Froida // Matematicheskie zametki, 1996, t. 60, vyp. 5, s. 788–792.
  • O norme minimalnogo lineinogo proektora v $C[0,\infty)$ // Izvestiya vuzov. Matematika, 1999, # 10(449), s. 31–36.
  • O beskonechno-konechnykh neravenstvakh, svyazannykh s vesom Lagerra // Matematicheskie zametki, 2001, t. 70, vyp. 2, s. 260–269.

https://www.mathnet.ru/eng/person17903
List of publications on Google Scholar
List of publications on ZentralBlatt

Publications in Math-Net.Ru Citations
2013
1. V. P. Sklyarov, “The Condition of N. P. Kuptsov $s$-regularity”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(2) (2013),  84–87  mathnet
2011
2. V. P. Sklyarov, “A numerical experiment related to Zolotarev polynomials for weighted sup-norm”, Zh. Vychisl. Mat. Mat. Fiz., 51:10 (2011),  1790–1795  mathnet  mathscinet; Comput. Math. Math. Phys., 51:10 (2011), 1679–1684  isi  scopus 1
2009
3. V. P. Sklyarov, “The sharp constant in Markov's inequality for the Laguerre weight”, Mat. Sb., 200:6 (2009),  109–118  mathnet  mathscinet  zmath  elib; Sb. Math., 200:6 (2009), 887–897  isi  scopus 5
2001
4. V. P. Sklyarov, “On Infinite–Finite Inequalities Related to the Laguerre Weight”, Mat. Zametki, 70:2 (2001),  260–269  mathnet  mathscinet  zmath  elib; Math. Notes, 70:2 (2001), 233–241  isi 1
1999
5. V. P. Sklyarov, “On the norm of a minimal linear projector in $C[0,\infty)$”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 10,  31–36  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 43:10 (1999), 29–34
1996
6. V. P. Sklyarov, “Concerning a polynomial inequality due to Freud”, Mat. Zametki, 60:5 (1996),  788–792  mathnet  mathscinet  zmath; Math. Notes, 60:5 (1996), 593–597  isi 2
1993
7. V. P. Sklyarov, “On the choice of interpolation nodes in the space $C(-\infty,\infty)$”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 11,  57–61  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 37:11 (1993), 55–59 2

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