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Serdyuk, Anatolii S.; Sokolenko, Igor V.
Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness. (English. Ukrainian original) Zbl 07308114
J. Math. Sci., New York 252, No. 4, 526-540 (2021); translation from Ukr. Mat. Visn. 17, No. 3, 396-413 (2020).
MSC:  41A50 42
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\textit{A. S. Serdyuk} and \textit{I. V. Sokolenko}, J. Math. Sci., New York 252, No. 4, 526--540 (2021; Zbl 07308114); translation from Ukr. Mat. Visn. 17, No. 3, 396--413 (2020)
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Shakirov, I. A.
Approximation of the Lebesgue constant of a Lagrange polynomial by a logarithmic function with shifted argument. (English. Russian original) Zbl 07308108
J. Math. Sci., New York 252, No. 3, 445-452 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 153, 151-157 (2018).
Reviewer: Włodzimierz Łenski (Poznań)
MSC:  42A15 41A50 41A10
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\textit{I. A. Shakirov}, J. Math. Sci., New York 252, No. 3, 445--452 (2021; Zbl 07308108); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 153, 151--157 (2018)
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Milev, Lozko; Naidenov, Nikola
Further results on the zeros of the derivative of oscillating polynomials with Laguerre weight. (English) Zbl 07324066
Draganov, Borislav (ed.) et al., Constructive theory of functions. Proceedings of the 13th international conference, Sozopol, Bulgaria, June 2–8, 2019. Dedicated to the memory of Blagovest Sendov. Sofia: Prof. Marin Drinov Academic Publishing House (ISBN 978-619-245-060-1). 147-155 (2020).
MSC:  26C10 41A50 65H04
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\textit{L. Milev} and \textit{N. Naidenov}, in: Constructive theory of functions. Proceedings of the 13th international conference, Sozopol, Bulgaria, June 2--8, 2019. Dedicated to the memory of Blagovest Sendov. Sofia: Prof. Marin Drinov Academic Publishing House. 147--155 (2020; Zbl 07324066)
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Malachivskyy, P. S.; Pizyur, Ya. V.; Malachivsky, R. P.
Chebyshev approximation by a rational expression for functions of many variables. (English. Russian original) Zbl 07285416
Cybern. Syst. Anal. 56, No. 5, 811-819 (2020); translation from Kibern. Sist. Anal. 2020, No. 5, 146-156 (2020).
MSC:  65D15 41A50
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\textit{P. S. Malachivskyy} et al., Cybern. Syst. Anal. 56, No. 5, 811--819 (2020; Zbl 07285416); translation from Kibern. Sist. Anal. 2020, No. 5, 146--156 (2020)
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Malachivskyy, P. S.; Pizyur, Ya. V.; Malachivskyi, R. P.; Ukhanska, O. M.
Chebyshev approximation of functions of several variables. (English. Russian original) Zbl 1455.65030
Cybern. Syst. Anal. 56, No. 1, 118-125 (2020); translation from Kibern. Sist. Anal. 2020, No. 1, 138-146 (2020).
MSC:  65D15 41A50
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\textit{P. S. Malachivskyy} et al., Cybern. Syst. Anal. 56, No. 1, 118--125 (2020; Zbl 1455.65030); translation from Kibern. Sist. Anal. 2020, No. 1, 138--146 (2020)
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Shabozov, M. Sh.; Akobirshoev, M. O.
Mean-square “angle” approximation in the \(L_2\) metric and the values of quasiwidths for some classes of functions. (English. Russian original) Zbl 1453.42001
Ukr. Math. J. 72, No. 6, 990-1004 (2020); translation from Ukr. Mat. Zh. 72, No. 6, 852-864 (2020).
MSC:  42A10 41A50 41A30
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\textit{M. Sh. Shabozov} and \textit{M. O. Akobirshoev}, Ukr. Math. J. 72, No. 6, 990--1004 (2020; Zbl 1453.42001); translation from Ukr. Mat. Zh. 72, No. 6, 852--864 (2020)
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Volosivets, S. S.; Tyuleneva, A. A.
Estimates of best approximations of transformed Fourier series in \(L^p\)-norm and \(p\)-variational norm. (English. Russian original) Zbl 1454.42004
J. Math. Sci., New York 250, No. 3, 463-474 (2020); translation from Fundam. Prikl. Mat. 22, No. 1, 111-126 (2018).
Reviewer: Hare Krishna Nigam (Gaya)
MSC:  42A38 42A10 41A50
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\textit{S. S. Volosivets} and \textit{A. A. Tyuleneva}, J. Math. Sci., New York 250, No. 3, 463--474 (2020; Zbl 1454.42004); translation from Fundam. Prikl. Mat. 22, No. 1, 111--126 (2018)
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Alimov, A. R.
Bounded contractibility of strict suns in three-dimensional spaces. (English. Russian original) Zbl 1452.46010
J. Math. Sci., New York 250, No. 3, 385-390 (2020); translation from Fundam. Prikl. Mat. 22, No. 1, 3-11 (2018).
Reviewer: Stefan Cobzaş (Cluj-Napoca) (MR3914355)
MSC:  46B20 41A65 52A30 54C65 54C55 55M15
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\textit{A. R. Alimov}, J. Math. Sci., New York 250, No. 3, 385--390 (2020; Zbl 1452.46010); translation from Fundam. Prikl. Mat. 22, No. 1, 3--11 (2018)
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Vakarchuk, Sergey B.; Vakarchuk, Mihail B.
On the estimates of the values of various widths of classes of functions of two variables in the weight space \(L_{2, \gamma } ( \mathbb{R}^2)\), \(\gamma = \exp ( - x^2 - y^2)\). (English. Ukrainian original) Zbl 07253548
J. Math. Sci., New York 248, No. 2, 217-232 (2020); translation from Ukr. Mat. Visn. 17, No. 1, 94-102 (2020).
MSC:  46E30 41A46
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\textit{S. B. Vakarchuk} and \textit{M. B. Vakarchuk}, J. Math. Sci., New York 248, No. 2, 217--232 (2020; Zbl 07253548); translation from Ukr. Mat. Visn. 17, No. 1, 94--102 (2020)
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Vlasyk, Hanna M.; Shkapa, Viktoriya V.; Zamrii, Iryna V.
Estimates of the best orthogonal trigonometric approximations and orthoprojective widths of the classes of periodic functions of many variables in a uniform metric. (English. Ukrainian original) Zbl 1448.42007
J. Math. Sci., New York 246, No. 1, 110-119 (2020); translation from Ukr. Mat. Visn. 16, No. 3, 448-460 (2019).
MSC:  42A10 41A30 41A50
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\textit{H. M. Vlasyk} et al., J. Math. Sci., New York 246, No. 1, 110--119 (2020; Zbl 1448.42007); translation from Ukr. Mat. Visn. 16, No. 3, 448--460 (2019)
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Egidi, Nadaniela; Fatone, Lorella; Misici, Luciano
A new Remez-type algorithm for best polynomial approximation. (English) Zbl 07249917
Sergeyev, Yaroslav D. (ed.) et al., Numerical computations: theory and algorithms. Third international conference, NUMTA 2019, Crotone, Italy, June 15–21, 2019. Revised selected papers. Part I. Cham: Springer (ISBN 978-3-030-39080-8/pbk; 978-3-030-39081-5/ebook). Lecture Notes in Computer Science 11973, 56-69 (2020).
MSC:  65
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\textit{N. Egidi} et al., Lect. Notes Comput. Sci. 11973, 56--69 (2020; Zbl 07249917)
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Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim
Asymptotics of Chebyshev polynomials. III: Sets saturating Szegő, Schiefermayr, and Totik-Widom bounds. (English) Zbl 1448.41026
Kurasov, Pavel (ed.) et al., Analysis as a tool in mathematical physics. In memory of Boris Pavlov. Collected papers presented at the conferences “Spectral Theory and Applications”, Stockholm, Sweden, March 13–15, 2016 and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016”, Euler International Mathematical Institute, St. Petersburg, Russia, August 2–7, 2016. Cham: Springer. Oper. Theory: Adv. Appl. 276, 231-246 (2020).
Reviewer: Klaus Schiefermayr (Wels)
MSC:  41A50 30C10 30C80
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\textit{J. S. Christiansen} et al., Oper. Theory: Adv. Appl. 276, 231--246 (2020; Zbl 1448.41026)
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Kudryavtsev, Nikolaĭ L’vovich
On connection of \(m\)-term and best approximations of some classes of sequences in the spaces \(l_p\). (English. Russian original) Zbl 1445.41017
Mosc. Univ. Math. Bull. 75, No. 1, 27-33 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 1, 28-36 (2020).
Reviewer: T.S.S.R.K. Rao (Bangalore)
MSC:  41A50
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\textit{N. L. Kudryavtsev}, Mosc. Univ. Math. Bull. 75, No. 1, 27--33 (2020; Zbl 1445.41017); translation from Vestn. Mosk. Univ., Ser. I 75, No. 1, 28--36 (2020)
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Bernal-González, L.; Muñoz-Fernández, G. A.; Rodríguez-Vidanes, D. L.; Seoane-Sepúlveda, J. B.
A complete study of the geometry of 2-homogeneous polynomials on circle sectors. (English) Zbl 07232899
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 3, Paper No. 160, 31 p. (2020).
MSC:  46G25 46B28 41A44
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\textit{L. Bernal-González} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 3, Paper No. 160, 31 p. (2020; Zbl 07232899)
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Katkovskaya, I. N.; Krotov, V. G.
On the continuity of best approximations by constants on balls in metric measure spaces. (English. Russian original) Zbl 1443.41016
Math. Notes 107, No. 2, 257-263 (2020); translation from Mat. Zametki 107, No. 2, 221-228 (2020).
Reviewer: T.S.S.R.K. Rao (Bangalore)
MSC:  41A50 41A65 30L99 46E30
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\textit{I. N. Katkovskaya} and \textit{V. G. Krotov}, Math. Notes 107, No. 2, 257--263 (2020; Zbl 1443.41016); translation from Mat. Zametki 107, No. 2, 221--228 (2020)
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Cotsiolis, Athanase; Labropoulos, Nikos
Ledoux-type rigidity results on manifolds with boundary in the presence of symmetries. (English) Zbl 1442.53031
Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 198, Article ID 111887, 22 p. (2020).
Reviewer: Georges Habib (Beirut)
MSC:  53C24 58D19 41A44 35B33
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\textit{A. Cotsiolis} and \textit{N. Labropoulos}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 198, Article ID 111887, 22 p. (2020; Zbl 1442.53031)
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Chernykh, N. I.; Subbotin, Yu. N.
Harmonic interpolating wavelets in a ring. (English. Russian original) Zbl 07209285
Proc. Steklov Inst. Math. 308, Suppl. 1, 58-67 (2020); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 4, 225-234 (2018).
MSC:  42C40 41A50
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\textit{N. I. Chernykh} and \textit{Yu. N. Subbotin}, Proc. Steklov Inst. Math. 308, 58--67 (2020; Zbl 07209285); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 4, 225--234 (2018)
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