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Chafaï, Djalil; Lehec, Joseph
On Poincaré and logarithmic Sobolev inequalities for a class of singular Gibbs measures. (English) Zbl 07238061
Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Israel seminar (GAFA) 2017–2019. Volume 1. Cham: Springer (ISBN 978-3-030-36019-1/pbk; 978-3-030-36020-7/ebook). Lecture Notes in Mathematics 2256, 219-246 (2020).
Reviewer: Michael Voit (Dortmund)
MSC:  60E15 60B20
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\textit{D. Chafaï} and \textit{J. Lehec}, Lect. Notes Math. 2256, 219--246 (2020; Zbl 07238061)
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García-Ardila, Juan C.; Marcellán, Francisco; Marriaga, Misael E.
From standard orthogonal polynomials to Sobolev orthogonal polynomials: the role of semiclassical linear functionals. (English) Zbl 1443.33013
Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 245-292 (2020).
MSC:  33C45 42C05
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\textit{J. C. García-Ardila} et al., in: Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5--12, 2018. Cham: Birkhäuser. 245--292 (2020; Zbl 1443.33013)
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Sharapudinov, I. I.
Sobolev orthogonal polynomials associated with Chebyshev polynomials of the first kind and the Cauchy problem for ordinary differential equations. (English. Russian original) Zbl 1421.34015
Differ. Equ. 54, No. 12, 1602-1619 (2018); translation from Differ. Uravn. 54, No. 12, 1645-1662 (2018).
Reviewer: Faitori Omer Salem (Tripoli)
MSC:  34A45 34A12 33C47
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\textit{I. I. Sharapudinov}, Differ. Equ. 54, No. 12, 1602--1619 (2018; Zbl 1421.34015); translation from Differ. Uravn. 54, No. 12, 1645--1662 (2018)
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Sharapudinov, I. I.
Sobolev orthogonal polynomials generated by Jacobi and Legendre polynomials, and special series with the sticking property for their partial sums. (English. Russian original) Zbl 1416.33019
Sb. Math. 209, No. 9, 1390-1417 (2018); translation from Mat. Sb. 209, No. 9, 142-170 (2018).
Reviewer: Alexei Lukashov (Saratov)
MSC:  33C45 42C10
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\textit{I. I. Sharapudinov}, Sb. Math. 209, No. 9, 1390--1417 (2018; Zbl 1416.33019); translation from Mat. Sb. 209, No. 9, 142--170 (2018)
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Sharapudinov, I. I.; Magomed-Kasumov, M. G.
On representation of a solution to the Cauchy problem by a Fourier series in Sobolev-orthogonal polynomials generated by Laguerre polynomials. (English. Russian original) Zbl 1398.42015
Differ. Equ. 54, No. 1, 49-66 (2018); translation from Differ. Uravn. 54, No. 1, 51-68 (2018).
Reviewer: Francisco Marcellán (Leganes)
MSC:  42C05
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\textit{I. I. Sharapudinov} and \textit{M. G. Magomed-Kasumov}, Differ. Equ. 54, No. 1, 49--66 (2018; Zbl 1398.42015); translation from Differ. Uravn. 54, No. 1, 51--68 (2018)
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Sharapudinov, Idris I.
Sobolev-orthogonal systems of functions associated with an orthogonal system. (English. Russian original) Zbl 1395.42070
Izv. Math. 82, No. 1, 212-244 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 1, 225-258 (2018).
Reviewer: S. F. Lukomskii (Saratov)
MSC:  42C10 41A58 33C47
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\textit{I. I. Sharapudinov}, Izv. Math. 82, No. 1, 212--244 (2018; Zbl 1395.42070); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 1, 225--258 (2018)
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Sharapudinov, I. I.; Sharapudinov, T. I.
Polynomials orthogonal in the Sobolev sense, generated by Chebyshev polynomials orthogonal on a mesh. (English. Russian original) Zbl 1376.33015
Russ. Math. 61, No. 8, 59-70 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. No. 8, 67-79 (2017).
Reviewer: Marcel G. de Bruin (Haarlem)
MSC:  33C45 42C05
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\textit{I. I. Sharapudinov} and \textit{T. I. Sharapudinov}, Russ. Math. 61, No. 8, 59--70 (2017; Zbl 1376.33015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. No. 8, 67--79 (2017)
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Sharapudinov, I. I.
Approximation properties of Fourier series of Sobolev orthogonal polynomials with Jacobi weight and discrete masses. (English. Russian original) Zbl 1372.42024
Math. Notes 101, No. 4, 718-734 (2017); translation from Mat. Zametki 101, No. 4, 611-629 (2017).
Reviewer: Marcel G. de Bruin (Haarlem)
MSC:  42C10 33C45 41A10
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\textit{I. I. Sharapudinov}, Math. Notes 101, No. 4, 718--734 (2017; Zbl 1372.42024); translation from Mat. Zametki 101, No. 4, 611--629 (2017)
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Ruzhansky, Michael; Tikhonov, Sergey
Some problems in Fourier analysis and approximation theory. (English) Zbl 1343.42001
Ruzhansky, Michael (ed.) et al., Methods of Fourier analysis and approximation theory. Collected papers based on the presentations at the 9th ISAAC congress, section “Approximation theory and Fourier analysis”, Crakow, Poland, August 5–9, 2013 and at the conference on Fourier analysis and approximation theory in the CRM, Barcelona, Spain, November 4–8, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-319-27465-2/hbk; 978-3-319-27466-9/ebook). Applied and Numerical Harmonic Analysis, 1-19 (2016).
MSC:  42-02 41-02 49-02 42B20 42B10 42C15 42C10 42A99 42A10 41A17 49J40 49M25 32A35 32A22 46E35 26B05 65C05
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\textit{M. Ruzhansky} and \textit{S. Tikhonov}, in: Methods of Fourier analysis and approximation theory. Collected papers based on the presentations at the 9th ISAAC congress, section ``Approximation theory and Fourier analysis'', Crakow, Poland, August 5--9, 2013 and at the conference on Fourier analysis and approximation theory in the CRM, Barcelona, Spain, November 4--8, 2013. Basel: Birkhäuser/Springer. 1--19 (2016; Zbl 1343.42001)
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Osilenker, B. P.
On linear summability methods of Fourier series in polynomials orthogonal in a discrete Sobolev space. (English. Russian original) Zbl 1333.42050
Sib. Math. J. 56, No. 2, 339-351 (2015); translation from Sib. Mat. Zh. 56, No. 2, 420-435 (2015).
Reviewer: Delfina Roux (Milano)
MSC:  42C10 40C05 40G05 40G99
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\textit{B. P. Osilenker}, Sib. Math. J. 56, No. 2, 339--351 (2015; Zbl 1333.42050); translation from Sib. Mat. Zh. 56, No. 2, 420--435 (2015)
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Dautov, R. Z.; Timerbaev, M. R.
Sharp estimates for the polynomial approximation in weighted Sobolev spaces. (English. Russian original) Zbl 1327.41003
Differ. Equ. 51, No. 7, 886-894 (2015); translation from Differ. Uravn. 51, No. 7, 890-898 (2015).
Reviewer: Zoltán Finta (Cluj-Napoca)
MSC:  41A10 41A65
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\textit{R. Z. Dautov} and \textit{M. R. Timerbaev}, Differ. Equ. 51, No. 7, 886--894 (2015; Zbl 1327.41003); translation from Differ. Uravn. 51, No. 7, 890--898 (2015)
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Sharapudinov, I. I.
Approximation properties of Fejér- and de la Valleé-Poussin-type means for partial sums of a special series in the system \(\{\sin x\sin kx\}_{k=1}^\infty\). (English. Russian original) Zbl 1376.42039
Sb. Math. 206, No. 4, 600-617 (2015); translation from Mat. Sb. 206, No. 4, 131-148 (2015).
MSC:  42C10 41A17 46E30 46E35
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\textit{I. I. Sharapudinov}, Sb. Math. 206, No. 4, 600--617 (2015; Zbl 1376.42039); translation from Mat. Sb. 206, No. 4, 131--148 (2015)
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