Akishev, Gabdolla On estimates of the order of the best \(M\)-term approximations of functions of several variables in the anisotropic Lorentz-Zygmund space. (Russian. English summary) Zbl 07725907 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 23, No. 2, 142-156 (2023). MSC: 41A45 42A10 42B35 PDFBibTeX XMLCite \textit{G. Akishev}, Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 23, No. 2, 142--156 (2023; Zbl 07725907) Full Text: DOI MNR
Akishev, Gabdolla On the exactness of the conditions of embedding theorems for spaces of functions with mixed logarithmic smoothness. arXiv:2308.08338 Preprint, arXiv:2308.08338 [math.CA] (2023). MSC: 41A10 41A25 42A05 BibTeX Cite \textit{G. Akishev}, ``On the exactness of the conditions of embedding theorems for spaces of functions with mixed logarithmic smoothness'', Preprint, arXiv:2308.08338 [math.CA] (2023) Full Text: arXiv OA License
Akishev, G. On embedding theorems of spaces of functions with mixed logarithmic smoothness. arXiv:2308.06737 Preprint, arXiv:2308.06737 [math.CA] (2023). MSC: 41A10 41A25 42A05 BibTeX Cite \textit{G. Akishev}, ``On embedding theorems of spaces of functions with mixed logarithmic smoothness'', Preprint, arXiv:2308.06737 [math.CA] (2023) Full Text: arXiv OA License
Akishev, G. Estimates of the best approximations of the functions of the Nikol’skii-Besov class in the generalized space of Lorentz. (English) Zbl 1454.42001 Adv. Oper. Theory 6, No. 1, Paper No. 15, 35 p. (2021). MSC: 42A10 41A10 41A25 42A05 41A50 PDFBibTeX XMLCite \textit{G. Akishev}, Adv. Oper. Theory 6, No. 1, Paper No. 15, 35 p. (2021; Zbl 1454.42001) Full Text: DOI
Akishev, Gabdolla On estimates of the order of approximation of functions of several variables in the anisotropic Lorentz-Karamata space. arXiv:2106.12761 Preprint, arXiv:2106.12761 [math.CA] (2021). MSC: 41A10 41A25 42A05 BibTeX Cite \textit{G. Akishev}, ``On estimates of the order of approximation of functions of several variables in the anisotropic Lorentz-Karamata space'', Preprint, arXiv:2106.12761 [math.CA] (2021) Full Text: arXiv OA License
Akishev, Gabdolla On exact estimates of the order of approximation of functions of several variables in the anisotropic Lorentz-Zygmund space. arXiv:2106.07188 Preprint, arXiv:2106.07188 [math.CA] (2021). MSC: 41A10 41A25 42A05 BibTeX Cite \textit{G. Akishev}, ``On exact estimates of the order of approximation of functions of several variables in the anisotropic Lorentz-Zygmund space'', Preprint, arXiv:2106.07188 [math.CA] (2021) Full Text: arXiv OA License
Akishev, Gabdolla Estimates of the order of approximation of functions of several variables in the generalized Lorentz space. arXiv:2105.14810 Preprint, arXiv:2105.14810 [math.CA] (2021). MSC: 41A10 41A25 42A05 BibTeX Cite \textit{G. Akishev}, ``Estimates of the order of approximation of functions of several variables in the generalized Lorentz space'', Preprint, arXiv:2105.14810 [math.CA] (2021) Full Text: arXiv OA License
Akishev, Gabdolla Estimates of best approximations of functions with logarithmic smoothness in the Lorentz space with anisotropic norm. (English) Zbl 1464.46025 Ural Math. J. 6, No. 1, 16-29 (2020). MSC: 46E30 42A10 PDFBibTeX XMLCite \textit{G. Akishev}, Ural Math. J. 6, No. 1, 16--29 (2020; Zbl 1464.46025) Full Text: DOI MNR
Akishev, Gabdolla On orders of approximation functions of generalized mixed smoothness in Lorentz spaces. (English) Zbl 1438.41017 Sarajevo J. Math. 15(28), No. 1, 81-96 (2019). MSC: 41A25 41A10 42A10 PDFBibTeX XMLCite \textit{G. Akishev}, Sarajevo J. Math. 15(28), No. 1, 81--96 (2019; Zbl 1438.41017) Full Text: arXiv
Akishev, G. On approximation orders of functions of several variables in the Lorentz space. (English. Russian original) Zbl 1395.42012 Proc. Steklov Inst. Math. 300, Suppl. 1, S9-S24 (2018); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 4, 13-28 (2016). MSC: 42B05 46E30 PDFBibTeX XMLCite \textit{G. Akishev}, Proc. Steklov Inst. Math. 300, S9--S24 (2018; Zbl 1395.42012); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 4, 13--28 (2016) Full Text: DOI
Akishev, G. On \(M\)-term approximations of the Nikol’skii-Besov class in the Lorentz spaces. (English) Zbl 1399.41056 Anal. Theory Appl. 33, No. 3, 267-286 (2017). MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{G. Akishev}, Anal. Theory Appl. 33, No. 3, 267--286 (2017; Zbl 1399.41056) Full Text: DOI arXiv
Akishev, G. Estimates for the Kolmogorov widths of the Nikol’skii-Besov-Amanov classes in the Lorentz space. (English. Russian original) Zbl 1370.41049 Proc. Steklov Inst. Math. 296, Suppl. 1, S1-S12 (2017); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 4 (2015). Reviewer: Allan Pinkus (Haifa) MSC: 41A46 42B35 PDFBibTeX XMLCite \textit{G. Akishev}, Proc. Steklov Inst. Math. 296, S1--S12 (2017; Zbl 1370.41049); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 4 (2015) Full Text: DOI
Akishev, G. On \(M\)-term approximations of the Nikol’skii - Besov class. (English) Zbl 1347.41005 Hacet. J. Math. Stat. 45, No. 2, 297-310 (2016). MSC: 41A10 42A10 41A25 PDFBibTeX XMLCite \textit{G. Akishev}, Hacet. J. Math. Stat. 45, No. 2, 297--310 (2016; Zbl 1347.41005) Full Text: DOI
Akishev, G. The estimates of the linear widths of classes in the symmetrical space. (Russian. English summary) Zbl 1327.42009 Mat. Zh. 15, No. 1, 5-19 (2015). MSC: 42B05 42A10 42A16 PDFBibTeX XMLCite \textit{G. Akishev}, Mat. Zh. 15, No. 1, 5--19 (2015; Zbl 1327.42009)
Akishev, G. On the orders of \(M\)-terms approximations of classes of functions of the symmetrical space. (Russian. English summary) Zbl 1327.42001 Mat. Zh. 14, No. 4, 46-71 (2014). MSC: 42A10 42B05 PDFBibTeX XMLCite \textit{G. Akishev}, Mat. Zh. 14, No. 4, 46--71 (2014; Zbl 1327.42001)
Akishev, G. Trigonometric widths of the Nikol’skii-Besov classes in the Lebesgue space with mixed norm. (English. Ukrainian original) Zbl 1311.42013 Ukr. Math. J. 66, No. 6, 807-817 (2014); translation from Ukr. Mat. Zh. 66, No. 6, 723-732 (2014). MSC: 42B05 46E30 PDFBibTeX XMLCite \textit{G. Akishev}, Ukr. Math. J. 66, No. 6, 807--817 (2014; Zbl 1311.42013); translation from Ukr. Mat. Zh. 66, No. 6, 723--732 (2014) Full Text: DOI
Akishev, G. The estimates of the linear widths of classes in the Lorentz space. (Russian. English summary) Zbl 1488.42010 Mat. Zh. 13, No. 3, 5-25 (2013). MSC: 42A10 PDFBibTeX XMLCite \textit{G. Akishev}, Mat. Zh. 13, No. 3, 5--25 (2013; Zbl 1488.42010)
Akishev, G. Similar to orthogonal system and an inequality of different metrics in Lorentz-Zygmund space. (Russian. English summary) Zbl 1488.42009 Mat. Zh. 13, No. 1, 5-16 (2013). MSC: 42A10 PDFBibTeX XMLCite \textit{G. Akishev}, Mat. Zh. 13, No. 1, 5--16 (2013; Zbl 1488.42009)
Akishev, G. On approximation of function classes in Lorentz spaces with anisotropic norm. (English) Zbl 1313.42004 Anal. Theory Appl. 29, No. 4, 358-372 (2013). MSC: 42A10 41A10 PDFBibTeX XMLCite \textit{G. Akishev}, Anal. Theory Appl. 29, No. 4, 358--372 (2013; Zbl 1313.42004) Full Text: DOI Link
Akishev, G. Estimates of trigonometric widths of classes in the Lorentz space. (Russian. English summary) Zbl 1488.42008 Mat. Zh. 12, No. 4, 41-57 (2012). MSC: 42A10 PDFBibTeX XMLCite \textit{G. Akishev}, Mat. Zh. 12, No. 4, 41--57 (2012; Zbl 1488.42008)
Akishev, G. On the orders of approximation of functionals classes in a Lorentz space. (Russian. English summary) Zbl 1488.42007 Mat. Zh. 12, No. 3, 37-42 (2012). MSC: 42A10 PDFBibTeX XMLCite \textit{G. Akishev}, Mat. Zh. 12, No. 3, 37--42 (2012; Zbl 1488.42007)
Akishev, G. On coefficients of expansions with respect to systems similar to orthogonal systems and an inequality of different metric. (Russian. English summary) Zbl 1488.42006 Mat. Zh. 11, No. 2, 22-27 (2011). MSC: 42A10 42C10 PDFBibTeX XMLCite \textit{G. Akishev}, Mat. Zh. 11, No. 2, 22--27 (2011; Zbl 1488.42006)
Akishev, G. On the order of the \(M\)-th approach of the classes approximation in the Lorentz space. (Russian. English summary) Zbl 1488.42005 Mat. Zh. 11, No. 1, 5-29 (2011). MSC: 42A10 PDFBibTeX XMLCite \textit{G. Akishev}, Mat. Zh. 11, No. 1, 5--29 (2011; Zbl 1488.42005)
Akishev, G. Approximation of classes of functions Besov classes by polynomials on the generalized Haar’s system. (Russian. English summary) Zbl 1488.42004 Mat. Zh. 10, No. 1, 23-32 (2010). MSC: 42A10 PDFBibTeX XMLCite \textit{G. Akishev}, Mat. Zh. 10, No. 1, 23--32 (2010; Zbl 1488.42004)
Akishev, G. A. On the exact estimations of the best \(M\)-terms approximation of the Besov class. (Russian. English summary) Zbl 1329.41035 Sib. Èlektron. Mat. Izv. 7, 255-274 (2010). MSC: 41A50 41A45 PDFBibTeX XMLCite \textit{G. A. Akishev}, Sib. Èlektron. Mat. Izv. 7, 255--274 (2010; Zbl 1329.41035) Full Text: Link
Akishev, G. On expansion coefficients with respect to systems similar to orthogonal. (Russian. English summary) Zbl 1488.42003 Mat. Zh. 9, No. 2, 5-14 (2009). MSC: 42A10 PDFBibTeX XMLCite \textit{G. Akishev}, Mat. Zh. 9, No. 2, 5--14 (2009; Zbl 1488.42003)
Akishev, G. A. Absolute convergence of Fourier series of superpositions of functions. (English. Russian original) Zbl 1178.42025 Russ. Math. 53, No. 11, 1-8 (2009); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2009, No. 11, 3-11 (2009). MSC: 42C10 PDFBibTeX XMLCite \textit{G. A. Akishev}, Russ. Math. 53, No. 11, 1--8 (2009; Zbl 1178.42025); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2009, No. 11, 3--11 (2009) Full Text: DOI
Akishev, G. A. The ortho-diameters of Nikol’skii and Besov classes in the Lorentz spaces. (English. Russian original) Zbl 1189.46019 Russ. Math. 53, No. 2, 21-29 (2009); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2009, No. 2, 25-33 (2009). Reviewer: Bohumír Opic (Praha) MSC: 46E30 46E35 41A30 41A46 PDFBibTeX XMLCite \textit{G. A. Akishev}, Russ. Math. 53, No. 2, 21--29 (2009; Zbl 1189.46019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2009, No. 2, 25--33 (2009) Full Text: DOI
Akishev, G. The estimate degree of approximation \(H^\Omega\)-classes. (Russian. English summary) Zbl 1488.42002 Mat. Zh. 8, No. 4, 10-19 (2008). MSC: 42A10 PDFBibTeX XMLCite \textit{G. Akishev}, Mat. Zh. 8, No. 4, 10--19 (2008; Zbl 1488.42002)
Akishev, G. A. Erratum to the paper ‘On degree of approximation of some classes by polynomials with respect to generalized Haar system’. (Russian. English summary) Zbl 1299.42092 Sib. Èlektron. Mat. Izv. 5, 383-386 (2008). MSC: 42C10 41A05 41A25 PDFBibTeX XMLCite \textit{G. A. Akishev}, Sib. Èlektron. Mat. Izv. 5, 383--386 (2008; Zbl 1299.42092) Full Text: Link
Akishev, G. A. On degree of approximation of classes in Lorentz space. (Russian. English summary) Zbl 1299.41024 Sib. Èlektron. Mat. Izv. 5, 51-67 (2008). MSC: 41A25 41A30 PDFBibTeX XMLCite \textit{G. A. Akishev}, Sib. Èlektron. Mat. Izv. 5, 51--67 (2008; Zbl 1299.41024) Full Text: Link
Akishev, G. Approximation of function classes in Lorentz spaces with mixed norm. (English) Zbl 1217.41007 East J. Approx. 14, No. 2, 193-214 (2008). MSC: 41A10 PDFBibTeX XMLCite \textit{G. Akishev}, East J. Approx. 14, No. 2, 193--214 (2008; Zbl 1217.41007)
Akishev, G. On estimates for the best \(M\)-term approximation of the Besov class. (Russian. English summary) Zbl 1194.42029 Mat. Zh. 7, No. 4, 5-11 (2007). MSC: 42B35 41A25 41A63 42A10 PDFBibTeX XMLCite \textit{G. Akishev}, Mat. Zh. 7, No. 4, 5--11 (2007; Zbl 1194.42029)
Akishev, G. On the orders of an \(M\)-term approximation of classes of functions in Lebesgue spaces with mixed norm. (Russian. English summary) Zbl 1194.42002 Mat. Zh. 7, No. 1, 5-14 (2007). MSC: 42A10 41A45 41A63 PDFBibTeX XMLCite \textit{G. Akishev}, Mat. Zh. 7, No. 1, 5--14 (2007; Zbl 1194.42002)
Akishev, G. A. Convergence of double Fourier series of functions from symmetric spaces. (English. Russian original) Zbl 1137.43004 Math. Notes 81, No. 3, 287-290 (2007); translation from Mat. Zametki 81, No. 3, 323-327 (2007). Reviewer: Boris Rubin (Baton Rouge) MSC: 43A85 PDFBibTeX XMLCite \textit{G. A. Akishev}, Math. Notes 81, No. 3, 287--290 (2007; Zbl 1137.43004); translation from Mat. Zametki 81, No. 3, 323--327 (2007) Full Text: DOI
Akishev, G. A. On orders of approximation of function classes in Lorentz spaces with anisotropic norm. (English. Russian original) Zbl 1183.42001 Math. Notes 81, No. 1, 3-14 (2007); translation from Mat. Zametki 81, No. 1, 3-16 (2006). Reviewer: Vijay Gupta (New Delhi) MSC: 42A10 41A63 46E30 PDFBibTeX XMLCite \textit{G. A. Akishev}, Math. Notes 81, No. 1, 3--14 (2007; Zbl 1183.42001); translation from Mat. Zametki 81, No. 1, 3--16 (2006) Full Text: DOI
Akishev, G. An inequality of different metric for multivariate generalized polynomials. (English) Zbl 1487.41011 East J. Approx. 12, No. 1, 25-36 (2006). MSC: 41A17 26D05 28A20 PDFBibTeX XMLCite \textit{G. Akishev}, East J. Approx. 12, No. 1, 25--36 (2006; Zbl 1487.41011)
Akishev, G. On the orders of an \(M\)-term approximation of classes of periodic functions. (Russian. English summary) Zbl 1194.42001 Mat. Zh. 6, No. 4, 5-11 (2006). MSC: 42A10 41A25 41A65 PDFBibTeX XMLCite \textit{G. Akishev}, Mat. Zh. 6, No. 4, 5--11 (2006; Zbl 1194.42001)
Akishev, G. A. On the degree of approximation function classes in the Lebesgue space with anisotropic norm. (Russian. English summary) Zbl 1158.42300 Uch. Zap. Kazan. Gos. Univ., Ser. Fiz.-Mat. Nauki 148, No. 2, 5-17 (2006). MSC: 42A10 41A45 PDFBibTeX XMLCite \textit{G. A. Akishev}, Uch. Zap. Kazan. Gos. Univ., Ser. Fiz.-Mat. Nauki 148, No. 2, 5--17 (2006; Zbl 1158.42300)
Akishev, G. A. Approximation of function classes in spaces with mixed norm. (English. Russian original) Zbl 1158.46021 Sb. Math. 197, No. 8, 1121-1144 (2006); translation from Mat. Sb. 197, No. 8, 17-40 (2006). Reviewer: Alexander Meskhi (Tbilisi) MSC: 46E35 46E30 41A10 PDFBibTeX XMLCite \textit{G. A. Akishev}, Sb. Math. 197, No. 8, 1121--1144 (2006; Zbl 1158.46021); translation from Mat. Sb. 197, No. 8, 17--40 (2006) Full Text: DOI
Akishev, G. A. On degrees of approximation of some classes by polynomials with respect to generalized Haar system. (Russian. English summary) Zbl 1150.42303 Sib. Èlektron. Mat. Izv. 3, 92-105 (2006); erratum ibid. 5, 383-386 (2008). MSC: 42C10 41A05 41A25 PDFBibTeX XMLCite \textit{G. A. Akishev}, Sib. Èlektron. Mat. Izv. 3, 92--105 (2006; Zbl 1150.42303) Full Text: EuDML
Akishev, G. A. On orders of approximation of functional classes by polynomials in a generalized Haar system. (Russian) Zbl 1150.41308 Mat. Zh. 5, No. 1, 5-15 (2005). MSC: 41A10 PDFBibTeX XMLCite \textit{G. A. Akishev}, Mat. Zh. 5, No. 1, 5--15 (2005; Zbl 1150.41308)
Akishev, G. A. Orders of approximation of function classes by polynomials in the generalized Haar system. (English, Russian) Zbl 1282.42025 Russ. Math. 49, No. 3, 11-20 (2005); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2005, No. 3, 13-22 (2005). MSC: 42C10 41A10 41A25 PDFBibTeX XMLCite \textit{G. A. Akishev}, Russ. Math. 49, No. 3, 11--20 (2005; Zbl 1282.42025); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2005, No. 3, 13--22 (2005) Full Text: MNR
Akishev, G. A. On orders of approximation of functional classes in a Marcinkiewicz space. (Russian) Zbl 1133.41315 Mat. Zh. 4, No. 4, 10-19 (2004). MSC: 41A65 41A46 42A10 PDFBibTeX XMLCite \textit{G. A. Akishev}, Mat. Zh. 4, No. 4, 10--19 (2004; Zbl 1133.41315)
Akishev, G. On conditions for the convergence of series of Fourier coefficients in a multiplicative system. (Russian) Zbl 1133.42307 Mat. Zh. 4, No. 2, 15-22 (2004). MSC: 42C10 PDFBibTeX XMLCite \textit{G. Akishev}, Mat. Zh. 4, No. 2, 15--22 (2004; Zbl 1133.42307)
Akishev, G. Conditions for the basis property of a generalized Haar system. (Russian) Zbl 1133.42300 Mat. Zh. 2, No. 4, 19-25 (2002). MSC: 42A10 42C30 PDFBibTeX XMLCite \textit{G. Akishev}, Mat. Zh. 2, No. 4, 19--25 (2002; Zbl 1133.42300)
Akishev, G. On the convergence of series in a generalized Haar system. (Russian) Zbl 1132.42300 Mat. Zh. 2, No. 3, 5-13 (2002). MSC: 42A10 PDFBibTeX XMLCite \textit{G. Akishev}, Mat. Zh. 2, No. 3, 5--13 (2002; Zbl 1132.42300)
Akishev, G. A. On orders of approximation of function classes by polynomials in the generalized Haar system. (Russian) Zbl 1060.41004 Aksent’ev, L. A. (ed.) et al., Geometric theory of functions, boundary value problems and their applications. Proceedings of the international scientific conference, Kazan’, Russia, March 18–24, 2002. Kazan’: Kazanskoe Matematicheskoe Obshchestvo (ISBN 5-900975-33-5). Tr. Mat. Tsentra im. N. I. Lobachevskogo 14, 50-61 (2002). Reviewer: Yuly Makovoz MSC: 41A10 PDFBibTeX XMLCite \textit{G. A. Akishev}, in: Геометрическая теория функции, краевые задачи и их приложения. Kazan': Kazanskoe Matematicheskoe Obshchestvo. 50--61 (2002; Zbl 1060.41004)
Akishev, G. A. Generalized Haar system and theorems of embedding into symmetrical spaces. (Russian. English summary) Zbl 1053.46017 Fundam. Prikl. Mat. 8, No. 2, 319-334 (2002). Reviewer: Elena M. Kreines (Moskva) MSC: 46E30 42C10 PDFBibTeX XMLCite \textit{G. A. Akishev}, Fundam. Prikl. Mat. 8, No. 2, 319--334 (2002; Zbl 1053.46017)
Akishev, G. A. Some theorems for Preiss systems. (English. Russian original) Zbl 1030.46028 Russ. Math. 46, No. 1, 1-6 (2002); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2002, No. 1, 3-8 (2002). Reviewer: J.Musielak (Poznań) MSC: 46E30 46C15 46M35 PDFBibTeX XMLCite \textit{G. A. Akishev}, Russ. Math. 46, No. 1, 1--6 (2002; Zbl 1030.46028); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2002, No. 1, 3--8 (2002)
Akishev, G. A. On imbedding of some classes of functions of several variables into the Lorentz space. (Russian) Zbl 0511.46027 Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 1982, No. 3, 47-51 (1982). MSC: 46E35 46E15 PDFBibTeX XMLCite \textit{G. A. Akishev}, Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 1982, No. 3, 47--51 (1982; Zbl 0511.46027)
Akishev, G. A. On the imbedding of the classes \(E_ p(\)lambda) into Lorentz space. (Russian) Zbl 0498.46022 Vestn. Akad. Nauk Kaz. SSR 1982, No. 7, 72-75 (1982). MSC: 46E35 46E30 PDFBibTeX XMLCite \textit{G. A. Akishev}, Vestn. Akad. Nauk Kaz. SSR 1982, No. 7, 72--75 (1982; Zbl 0498.46022)