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Draft:Idris Idrisovich Sharapudinov

Idris Idrisovich Sharapudinov
Идрис Идрисович Шарапудинов
File:Sharapudinov I I.jpg
I. I. Sharapudinov
Born(1948-06-07)7 June 1948
Gagatli, Botlikh District, Dagestan ASSR, Soviet Union
Died7 August 2018(2018-08-07) (aged 70)
Makhachkala, Dagestan, Russia
Alma materDagestan State Pedagogical Institute (Faculty of Physics and Mathematics, 1971)
Known forSobolev-orthogonal polynomial systems, mixed series in orthogonal polynomials, approximation in variable-exponent Lebesgue spaces
Scientific career
FieldsMathematics (approximation theory, orthogonal polynomials, harmonic analysis, functional analysis)
InstitutionsDagestan Scientific Centre of the Russian Academy of Sciences (DSC RAS — Head of the Department of Mathematics and Informatics)
Southern Mathematical Institute of the Vladikavkaz Scientific Centre RAS
Dagestan State Pedagogical University (DSPU — Head of the Chair of Mathematical Analysis)
Dagestan State University
University of South Carolina (Columbia, SC — visiting professor)
Thesis Convergence of Fourier series in Jacobi polynomials (candidate's, 1977); Special series in orthogonal polynomials (doctoral, 1991)
A. L. Brudno (candidate's dissertation, per family sources)
Other academic advisors
P. L. Ulyanov, B. S. Kashin (academic consultants, doctoral dissertation, per family sources)
Doctoral students
M. G. Magomed-Kasumov, T. I. Sharapudinov, M. S. Sultanakhmedov, Z. D. Gadzhieva

Idris Idrisovich Sharapudinov (Russian: Идрис Идрисович Шарапудинов; 7 June 1948, Gagatli, Botlikh District, Dagestan ASSR — 7 August 2018, Makhachkala) was a Soviet and Russian mathematician, Doctor of Physical and Mathematical Sciences (1991), and professor. He worked in the area of approximation theory of functions, orthogonal polynomials, harmonic analysis and functional analysis.[1] He was the founding head of the Department of Mathematics and Informatics of the Dagestan Scientific Centre of the Russian Academy of Sciences (since 2017 incorporated into the Dagestan Federal Research Centre, DFRC RAS), and the founder of the scientific school "Approximation theory in function spaces and orthogonal systems".[2] For many years he chaired the Mathematical Analysis Department of the Dagestan State Pedagogical University named after R. Gamzatov.[3] He also held a senior research position at the Southern Mathematical Institute of the Vladikavkaz Scientific Centre of the Russian Academy of Sciences.[1]

Biography

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Early life and education

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Sharapudinov was born on 7 June 1948 in the [Andi people|Andi]] village of Gagatli in the Botlikh District of the Dagestan ASSR.[4] He attended school in his native Gagatli and then a boarding school in the village of Botlikh,[note 1] graduating from secondary school there in 1966.[4] The same year he entered the Faculty of Physics and Mathematics of the Dagestan State Pedagogical Institute (DSPI; renamed Dagestan State Pedagogical University, DSPU, in 1994), graduating with distinction in 1971.[4] Upon graduation he married a fellow student, R. R. Galladzheva.[note 1]

After graduation he served his conscript term in the Soviet Army as an operator of an anti-tank guided missile launcher.[note 1] He then entered postgraduate studies at the Moscow State Pedagogical Institute (MSPI, now Moscow Pedagogical State University); according to family sources, his scientific advisor was Professor A. L. Brudno.[note 1] In 1977 he defended his candidate's dissertation, Convergence of Fourier series in Jacobi polynomials.[4][1]

Academic career

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From 1975 Sharapudinov worked at the Dagestan State Pedagogical Institute (later DSPU), where he chaired the Department of Mathematical Analysis from 1992 to 2017.[4][3] He also taught at the Dagestan State University.[1]

In 1989 he entered the doctoral programme at the Faculty of Mechanics and Mathematics, Moscow State University|Faculty of Mechanics and Mathematics of Moscow State University;[4] according to family sources, his academic consultants were the academicians P. L. Ulyanov and B. S. Kashin.[note 1] In 1991 he defended his doctoral dissertation Special series in orthogonal polynomials at the V. A. Steklov Mathematical Institute of the Soviet Academy of Sciences, obtaining the higher Russian degree of Doktor nauk.[4][1]

From 2001 until his death he headed the Department of Mathematics and Informatics (OMI) of the Dagestan Scientific Centre of the Russian Academy of Sciences (since 2017 — the Dagestan Federal Research Centre of RAS).[4] In 2007–2011 he simultaneously headed the Laboratory of Function Theory and Approximation of the Southern Mathematical Institute of the Vladikavkaz Scientific Centre RAS.[4] According to the editors of the Vladikavkaz Mathematical Journal, the creation of OMI "was made possible only thanks to his boundless energy and unique combination of deep knowledge in the classical areas of mathematics with a keen interest in modern directions of computer science".[4]

Under his leadership, the department developed the scientific school "Approximation theory in function spaces and orthogonal systems", with international collaborations involving the University of South Carolina (USA) and mathematicians in Portugal, Finland, China and Germany.[2] In the framework of this collaboration, Sharapudinov held a visiting professorship at the University of South Carolina (Columbia, SC).[note 1] He led a series of grant-supported research projects (including RFBR grants) in 2003–2005 and 2007–2009.[2]

In 2013, his department launched the journal Daghestan Electronic Mathematical Reports (DEMR);[5] Sharapudinov published a number of his late-period works in this journal.

Family and death

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The obituary describes Sharapudinov as "a loving father and grandfather".[4] Idris Sharapudinov and his wife Raisa Ramazanovna Galladzheva had three children — sons Shamil and Timur, and daughter Zemfira.[note 1] His son Timur Idrisovich Sharapudinov, also a Candidate of Sciences, continued his father's research at the Department of Mathematics and Informatics of DFRC RAS.[2]

Sharapudinov died unexpectedly on 7 August 2018, in his 71st year,[4] in Makhachkala.[note 1] A comprehensive survey of his work on Sobolev orthogonality, Sobolev-orthogonal systems of functions and some of their applications, was published posthumously in 2019 in Russian Mathematical Surveys.[6]

Research

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Sharapudinov was the author of more than 70 published works.[1] His publications appeared in leading Russian mathematical journals, including Sbornik: Mathematics, Mathematical Notes (journal)|Mathematical Notes, Izvestiya: Mathematics, Russian Mathematical Surveys, the Siberian Mathematical Journal and Russian Mathematics (Izvestiya VUZ).

His main research directions were:

Discrete orthogonal polynomials

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From the late 1970s onward Sharapudinov studied asymptotic properties and weighted estimates of the discrete orthogonal polynomials of Hahn, Meixner, Krawtchouk, and of Chebyshev polynomials on uniform grids.[7][8] These results formed the basis of his doctoral dissertation.[1]

Variable-exponent Lebesgue and Sobolev spaces

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In papers of 1979 and 1986 Sharapudinov investigated the topology of the space Lp(t)([0,1]) and the basis property of the Haar system in it.[9] He returned to this topic in the 2000s and 2010s, studying approximation of functions in variable exponent function space|variable-exponent Lebesgue and Sobolev spaces by trigonometric polynomials, Vallée Poussin sum|de la Vallée-Poussin means, and finite Fourier–Haar series.[10]

Mixed series in classical orthogonal polynomials

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In the early 2000s Sharapudinov introduced the construction of "mixed series" in Jacobi, Legendre, Chebyshev and ultraspherical polynomials, which provides improved convergence rate estimates compared to classical Fourier expansions.[11][12]

Sobolev orthogonality and the Cauchy problem for ODEs

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In his late period (from 2014) Sharapudinov developed the theory of systems of functions Sobolev orthogonal polynomial|orthogonal in the Sobolev sense — a generalisation of classical orthogonality in which the inner product takes account of derivatives. He applied such systems (generated by Jacobi, Legendre, Laguerre, Meixner and Charlier polynomials) to the numerical solution of the Cauchy problem for systems of ordinary and difference differential equations.[13][6] A comprehensive survey published in Russian Mathematical Surveys (2019) summarised the direction.

Scientific school

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Sharapudinov founded a school of approximation theory and orthogonal polynomials based in Makhachkala and Vladikavkaz.[2] Among his students and collaborators were:

  • M. G. Magomed-Kasumov — Candidate of Physical and Mathematical Sciences (2015), researcher at the Dagestan Branch of the Geophysical Survey of the Russian Academy of Sciences|FRC Geophysical Survey RAS;[14]
  • M. S. Sultanakhmedov — Candidate of Sciences, co-author of papers with Sharapudinov on Sobolev orthogonality;[note 1]
  • T. I. Sharapudinov (his son) — Candidate of Sciences, continuator of his father's research, who worked at the Department of Mathematics and Informatics of DFRC RAS in 2018–2022;[2]
  • Z. D. Gadzhieva — Candidate of Sciences, associate professor at DSPU, co-author of works with Sharapudinov on Sobolev orthogonality;[15][3]
  • N. A. Kulibekov — head of the Department of Intelligent Systems and Digital Economy at DSPU.[3]

Since 2023, the Dagestan State Pedagogical University has held an annual interuniversity mathematics olympiad in his memory.[3]

Degrees and titles

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  • Candidate of Physical and Mathematical Sciences (1977)[1]
  • Doctor of Physical and Mathematical Sciences (1991)[1]
  • Academic title — Professor[1]

Selected publications

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Sharapudinov authored more than 70 scientific articles; the aggregate citation count across his works on Math-Net.Ru exceeds 790, with 24 papers having at least 10 citations within Math-Net-indexed journals.

Monographs

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  • Sharapudinov, I. I. (1997). Polynomials orthogonal on discrete grids (in Russian). Makhachkala: Dagestan State Pedagogical Institute.
  • Sharapudinov, I. I. Discrete orthogonal polynomials (in Russian).
  • Sharapudinov, I. I. Some problems of approximation theory in variable-exponent Lp spaces (in Russian).
  • Sharapudinov, I. I. (2004). Mixed series in classical orthogonal polynomials (in Russian).

Selected articles

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Notes

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  1. 1 2 3 4 5 6 7 8 9 A small number of biographical details (early schooling, military service, names of dissertation advisors, family member names, place of death, ethnic affiliation, USC visiting professorship) are based on information from family members and not yet supported by independent published sources. Cite error: The named reference "family-cv" was defined multiple times with different content (see the help page).

References

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  1. 1 2 3 4 5 6 7 8 9 10 Sharapudinov, Idris Idrisovich on Math-Net.Ru (accessed 15 May 2026).
  2. 1 2 3 4 5 6 Department of Mathematics and Informatics, DSC RAS (accessed 15 May 2026).
  3. 1 2 3 4 5 Interuniversity Mathematics Olympiad in memory of Idris Idrisovich Sharapudinov. Dagestan State Pedagogical University, 2025 (accessed 15 May 2026).
  4. 1 2 3 4 5 6 7 8 9 10 11 12 Editorial board (2018). "Sharapudinov Idris Idrisovich (obituary)". Vladikavkaz Mathematical Journal (in Russian). 20 (3): 105.
  5. ↑ Daghestan Electronic Mathematical Reports. Math-Net.Ru (accessed 15 May 2026).
  6. 1 2 Sharapudinov, I. I. (2019). "Sobolev-orthogonal systems of functions and some of their applications". Russian Mathematical Surveys. 74 (4): 659–733. Bibcode:2019RuMaS..74..659S. doi:10.1070/RM9846.
  7. ↑ Sharapudinov, I. I. (1989). "Asymptotic properties of orthogonal Hahn polynomials in a discrete variable". Mathematics of the USSR-Sbornik. 66 (2): 413–432.
  8. ↑ Sharapudinov, I. I. (1988). "Asymptotic properties of Krawtchouk polynomials". Mathematical Notes. 44 (5): 855–862. doi:10.1007/BF01158428.
  9. ↑ Sharapudinov, I. I. (1979). "Topology of the space Lp(t)([0,1])". Mathematical Notes. 26 (4): 796–806. doi:10.1007/BF01159546.
  10. ↑ Sharapudinov, I. I. (2009). "The basis property of the Legendre polynomials in the variable exponent Lebesgue space Lp(x)(−1,1)". Sbornik: Mathematics. 200 (1): 137–160. Bibcode:2009SbMat.200..133S. doi:10.1070/SM2009v200n01ABEH003989.
  11. ↑ Sharapudinov, I. I. (2003). "Mixed series in ultraspherical polynomials and their approximation properties". Sbornik: Mathematics. 194 (3): 423–456. Bibcode:2003SbMat.194..423S. doi:10.1070/SM2003v194n03ABEH000723.
  12. ↑ Sharapudinov, I. I. (2006). "Approximation properties of mixed series in terms of Legendre polynomials on the classes Wr". Sbornik: Mathematics. 197 (4): 569–588. Bibcode:2006SbMat.197..433S. doi:10.1070/SM2006v197n03ABEH003765.
  13. ↑ Sharapudinov, I. I. (2019). "Sobolev-orthogonal systems of functions and the Cauchy problem for ODEs". Izvestiya: Mathematics. 83 (2): 391–412. Bibcode:2019IzMat..83..391S. doi:10.1070/IM8742.
  14. ↑ "Magomed-Kasumov Magomedrasul Grozbekovich". Dagestan Branch, FRC Geophysical Survey RAS. Retrieved 2026-05-15.
  15. ↑ Sharapudinov, I. I.; Gadzhieva, Z. D. (2016). "Sobolev Orthogonal Polynomials Generated by Meixner Polynomials". Izvestiya of Saratov University. Mathematics. Mechanics. Informatics. 16 (3): 310–321. doi:10.18500/1816-9791-2016-16-3-310-321.
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