Nadirashvili, N. Almost everywhere convergence of \(T\) means with respect to the Vilenkin system of integrable functions. (English) Zbl 07786467 Ukr. Math. J. 75, No. 7, 1067-1080 (2023) and Ukr. Mat. Zh. 75, No. 7, 933-945 (2023). MSC: 42C10 42A20 42B25 PDFBibTeX XMLCite \textit{N. Nadirashvili}, Ukr. Math. J. 75, No. 7, 1067--1080 (2023; Zbl 07786467) Full Text: DOI
Bitsadze, K. R. On the sets of divergence of multiple Fourier-Haar series. (English. Ukrainian original) Zbl 1519.42029 Ukr. Math. J. 74, No. 12, 1854-1871 (2023); translation from Ukr. Mat. Zh. 74, No. 12, 1625-1639 (2022). MSC: 42C10 42B10 42A20 28A15 PDFBibTeX XMLCite \textit{K. R. Bitsadze}, Ukr. Math. J. 74, No. 12, 1854--1871 (2023; Zbl 1519.42029); translation from Ukr. Mat. Zh. 74, No. 12, 1625--1639 (2022) Full Text: DOI
Chapko, R.; Johansson, B. T. Calculating heat and wave propagation from the lateral Cauchy data. (English) Zbl 1501.65055 Ukr. Math. J. 74, No. 2, 314-326 (2022) and Ukr. Mat. Zh. 74, No. 2, 274-285 (2022). MSC: 65M32 65M30 65M06 65N38 65N06 65N80 65F22 35K05 35J15 33C45 35R30 PDFBibTeX XMLCite \textit{R. Chapko} and \textit{B. T. Johansson}, Ukr. Math. J. 74, No. 2, 314--326 (2022; Zbl 1501.65055) Full Text: DOI
Bedratyuk, L. P.; Lunio, N. B. Derivations and identities for Chebyshev polynomials. (English. Ukrainian original) Zbl 1486.11038 Ukr. Math. J. 73, No. 8, 1175-1188 (2022); translation from Ukr. Mat. Zh. 73, No. 8, 1011-1022 (2021). Reviewer: Klaus Schiefermayr (Wels) MSC: 11B83 05A19 33C45 PDFBibTeX XMLCite \textit{L. P. Bedratyuk} and \textit{N. B. Lunio}, Ukr. Math. J. 73, No. 8, 1175--1188 (2022; Zbl 1486.11038); translation from Ukr. Mat. Zh. 73, No. 8, 1011--1022 (2021) Full Text: DOI
Makarov, V. L. A new approach to the construction of generalized classical polynomials. (English. Ukrainian original) Zbl 1494.33008 Ukr. Math. J. 73, No. 6, 963-976 (2021); translation from Ukr. Mat. Zh. 73, No. 6, 827-838 (2021). MSC: 33C45 PDFBibTeX XMLCite \textit{V. L. Makarov}, Ukr. Math. J. 73, No. 6, 963--976 (2021; Zbl 1494.33008); translation from Ukr. Mat. Zh. 73, No. 6, 827--838 (2021) Full Text: DOI
Zagorodnyuk, S. M. On series of orthogonal polynomials and systems of classical type polynomials. (English. Ukrainian original) Zbl 1479.42070 Ukr. Math. J. 73, No. 6, 930-943 (2021); translation from Ukr. Mat. Zh. 73, No. 6, 799-810 (2021). Reviewer: Pierluigi Vellucci (Roma) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{S. M. Zagorodnyuk}, Ukr. Math. J. 73, No. 6, 930--943 (2021; Zbl 1479.42070); translation from Ukr. Mat. Zh. 73, No. 6, 799--810 (2021) Full Text: DOI
Persson, L.-E.; Tephnadze, G.; Tutberidze, G.; Wall, P. Some new results on the strong convergence of Fejér means with respect to Vilenkin systems. (English) Zbl 1479.42075 Ukr. Math. J. 73, No. 4, 635-648 (2021) and Ukr. Mat. Zh. 73, No. 4, 544-555 (2021). MSC: 42C10 42A20 PDFBibTeX XMLCite \textit{L. E. Persson} et al., Ukr. Math. J. 73, No. 4, 635--648 (2021; Zbl 1479.42075) Full Text: DOI arXiv
Khan, S.; Riyasat, M.; Wani, Sh. A. Differential and integral equations for Legendre-Laguerre-based hybrid polynomials. (English) Zbl 1492.33008 Ukr. Math. J. 73, No. 3, 479-497 (2021) and Ukr. Mat. Zh. 73, No. 3, 408-424 (2021). MSC: 33C47 35R09 PDFBibTeX XMLCite \textit{S. Khan} et al., Ukr. Math. J. 73, No. 3, 479--497 (2021; Zbl 1492.33008) Full Text: DOI
Joudeh, A. A. Abu; Gát, G. Almost everywhere convergence of the Cesàro means of two variable Walsh-Fourier series with variable parameters. (English) Zbl 1479.42073 Ukr. Math. J. 73, No. 3, 337-358 (2021) and Ukr. Mat. Zh. 73, No. 3, 291-307 (2021). MSC: 42C10 42A24 42A20 42A16 40G05 PDFBibTeX XMLCite \textit{A. A. A. Joudeh} and \textit{G. Gát}, Ukr. Math. J. 73, No. 3, 337--358 (2021; Zbl 1479.42073) Full Text: DOI
Agarwal, P.; Chand, M.; Choi, J. Some integrals involving \(\aleph\)-functions and Laguerre polynomials. (English) Zbl 1515.33021 Ukr. Math. J. 71, No. 9, 1321-1340 (2020) and Ukr. Mat. Zh. 71, No. 9, 1159-1175 (2019). MSC: 33E30 33C20 33C45 33C60 PDFBibTeX XMLCite \textit{P. Agarwal} et al., Ukr. Math. J. 71, No. 9, 1321--1340 (2020; Zbl 1515.33021) Full Text: DOI
Tepnadze, T. On the approximation properties of Cesàro means of negative order for the double Vilenkin-Fourier series. (English) Zbl 1448.42034 Ukr. Math. J. 72, No. 3, 446-463 (2020) and Ukr. Mat. Zh. 72, No. 3, 391-406 (2020). MSC: 42C10 42A24 PDFBibTeX XMLCite \textit{T. Tepnadze}, Ukr. Math. J. 72, No. 3, 446--463 (2020; Zbl 1448.42034) Full Text: DOI arXiv
Gavrilyuk, I.; Makarov, V. Resonant equations with classical orthogonal polynomials. II. (English) Zbl 1441.34049 Ukr. Math. J. 71, No. 4, 519-536 (2019) and Ukr. Mat. Zh. 71, No. 4, 455-470 (2019). MSC: 34C15 34A05 34A45 34B09 33C45 PDFBibTeX XMLCite \textit{I. Gavrilyuk} and \textit{V. Makarov}, Ukr. Math. J. 71, No. 4, 519--536 (2019; Zbl 1441.34049) Full Text: DOI
Grigoryan, G. M.; Krotov, V. G. Quasiunconditional basis property of the Faber-Schauder system. (English. Russian original) Zbl 1435.42021 Ukr. Math. J. 71, No. 2, 237-247 (2019); translation from Ukr. Mat. Zh. 71, No. 2, 210-219 (2019). MSC: 42C10 42A20 PDFBibTeX XMLCite \textit{G. M. Grigoryan} and \textit{V. G. Krotov}, Ukr. Math. J. 71, No. 2, 237--247 (2019; Zbl 1435.42021); translation from Ukr. Mat. Zh. 71, No. 2, 210--219 (2019) Full Text: DOI
Gavrilyuk, I.; Makarov, V. Resonant equations with classical orthogonal polynomials. I. (English) Zbl 1437.34043 Ukr. Math. J. 71, No. 2, 215-236 (2019) and Ukr. Mat. Zh. 71, No. 2, 190-209 (2019). MSC: 34C15 34A05 34A45 34B09 33C45 PDFBibTeX XMLCite \textit{I. Gavrilyuk} and \textit{V. Makarov}, Ukr. Math. J. 71, No. 2, 215--236 (2019; Zbl 1437.34043) Full Text: DOI
Mamedkhanov, J. I.; Dadashova, I. B. On one theorem of G. Freud. (English. Russian original) Zbl 1435.42020 Ukr. Math. J. 70, No. 11, 1821-1828 (2019); translation from Ukr. Mat. Zh. 70, No. 11, 1578-1584 (2018). MSC: 42C05 PDFBibTeX XMLCite \textit{J. I. Mamedkhanov} and \textit{I. B. Dadashova}, Ukr. Math. J. 70, No. 11, 1821--1828 (2019; Zbl 1435.42020); translation from Ukr. Mat. Zh. 70, No. 11, 1578--1584 (2018) Full Text: DOI
Goginava, U. Strong summability of two-dimensional Vilenkin-Fourier series. (English) Zbl 1434.42005 Ukr. Math. J. 71, No. 3, 387-401 (2019) and Ukr. Mat. Zh. 71, No. 3, 340-352 (2019). MSC: 42A24 42C10 42A10 PDFBibTeX XMLCite \textit{U. Goginava}, Ukr. Math. J. 71, No. 3, 387--401 (2019; Zbl 1434.42005) Full Text: DOI arXiv
Hatamleh, R.; Zolotarev, V. A. Jacobi operators and orthonormal matrix-valued polynomials. II. (English) Zbl 1506.47050 Ukr. Math. J. 69, No. 6, 970-985 (2017) and Ukr. Mat. Zh. 69, No. 6, 836-847 (2017). MSC: 47B36 47B28 46E20 46E40 PDFBibTeX XMLCite \textit{R. Hatamleh} and \textit{V. A. Zolotarev}, Ukr. Math. J. 69, No. 6, 970--985 (2017; Zbl 1506.47050) Full Text: DOI
Hatamleh, R.; Zolotarev, V. A. Jacobi operators and orthonormal matrix-valued polynomials. I. (English) Zbl 1506.47049 Ukr. Math. J. 69, No. 2, 269-282 (2017) and Ukr. Mat. Zh. 69, No. 2, 228-239 (2017). MSC: 47B36 46E20 46E40 PDFBibTeX XMLCite \textit{R. Hatamleh} and \textit{V. A. Zolotarev}, Ukr. Math. J. 69, No. 2, 269--282 (2017; Zbl 1506.47049) Full Text: DOI
Zagorodnyuk, S. M. Orthogonal polynomials associated with some Jacobi-type pencils. (English. Russian original) Zbl 1499.42124 Ukr. Math. J. 68, No. 9, 1353-1365 (2017); translation from Ukr. Mat. Zh. 68, No. 9, 1180-1190 (2016). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{S. M. Zagorodnyuk}, Ukr. Math. J. 68, No. 9, 1353--1365 (2017; Zbl 1499.42124); translation from Ukr. Mat. Zh. 68, No. 9, 1180--1190 (2016) Full Text: DOI arXiv
Dudkin, M. E.; Kozak, V. I. Jacobi-type block matrices corresponding to the two-dimensional moment problem: polynomials of the second kind and Weyl function. (English. Ukrainian original) Zbl 1490.44007 Ukr. Math. J. 68, No. 4, 557-569 (2016); translation from Ukr. Mat. Zh. 68, No. 4, 495-505 (2016). MSC: 44A60 30E05 42C05 47A57 PDFBibTeX XMLCite \textit{M. E. Dudkin} and \textit{V. I. Kozak}, Ukr. Math. J. 68, No. 4, 557--569 (2016; Zbl 1490.44007); translation from Ukr. Mat. Zh. 68, No. 4, 495--505 (2016) Full Text: DOI
Nagy, K. Approximation of the quadratic partial sums of double Walsh-Kaczmarz-Fourier series by Nörlund means. (English) Zbl 1404.42055 Ukr. Math. J. 68, No. 1, 94-114 (2016) and Ukr. Mat. Zh. 68, No. 1, 87-105 (2016). Reviewer: Alexei Lukashov (Saratov) MSC: 42C10 PDFBibTeX XMLCite \textit{K. Nagy}, Ukr. Math. J. 68, No. 1, 94--114 (2016; Zbl 1404.42055) Full Text: DOI
Blahota, I. On the Dirichlet kernels with respect to certain special representative product systems. (English) Zbl 1376.42036 Ukr. Math. J. 66, No. 11, 1773-1780 (2015) and Ukr. Mat. Zh. 66, No. 11, 1578-1584 (2015). Reviewer: N. Shravan Kumar (New Delhi) MSC: 42C10 42B05 PDFBibTeX XMLCite \textit{I. Blahota}, Ukr. Math. J. 66, No. 11, 1773--1780 (2015; Zbl 1376.42036) Full Text: DOI Link
Volchkov, Vit. V.; Savost’yanova, I. M. On one Minkowski-Radon problem and its generalizations. (English. Russian original) Zbl 1357.44002 Ukr. Math. J. 66, No. 10, 1491-1508 (2015); translation from Ukr. Mat. Zh. 66, No. 10, 1332-1347 (2015). Reviewer: Judit Abardia (Frankfurt a. M.) MSC: 44A12 33C47 42B35 PDFBibTeX XMLCite \textit{Vit. V. Volchkov} and \textit{I. M. Savost'yanova}, Ukr. Math. J. 66, No. 10, 1491--1508 (2015; Zbl 1357.44002); translation from Ukr. Mat. Zh. 66, No. 10, 1332--1347 (2015) Full Text: DOI
Luo, Qiu-Ming \(q\)-Apostol-Euler polynomials and \(q\)-alternating sums. (English. Ukrainian original) Zbl 1353.11037 Ukr. Math. J. 65, No. 8, 1231-1246 (2014); translation from Ukr. Mat. Zh. 65, No. 8, 1104-1117 (2013). MSC: 11B68 11B65 33D45 11S40 PDFBibTeX XMLCite \textit{Q.-M. Luo}, Ukr. Math. J. 65, No. 8, 1231--1246 (2014; Zbl 1353.11037); translation from Ukr. Mat. Zh. 65, No. 8, 1104--1117 (2013) Full Text: DOI
Bedratyuk, L. P. Derivations and identities for Kravchuk polynomials. (English. Ukrainian original) Zbl 1314.42025 Ukr. Math. J. 65, No. 12, 1755-1773 (2014); translation from Ukr. Mat. Zh. 65, No. 12, 1587-1603 (2013). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{L. P. Bedratyuk}, Ukr. Math. J. 65, No. 12, 1755--1773 (2014; Zbl 1314.42025); translation from Ukr. Mat. Zh. 65, No. 12, 1587--1603 (2013) Full Text: DOI arXiv
Tephnadze, G. Strong convergence of two-dimensional Walsh-Fourier series. (English) Zbl 1285.42024 Ukr. Math. J. 65, No. 6, 914-927 (2013) and Ukr. Mat. Zh. 65, No. 6, 822-834 (2013). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C10 PDFBibTeX XMLCite \textit{G. Tephnadze}, Ukr. Math. J. 65, No. 6, 914--927 (2013; Zbl 1285.42024) Full Text: DOI arXiv
Mikhailets, V. A.; Murach, A. A. On the unconditional almost-everywhere convergence of general orthogonal series. (English. Russian original) Zbl 1263.40001 Ukr. Math. J. 63, No. 10, 1543-1550 (2012); translation from Ukr. Mat. Zh. 63, No. 10, 1360-1367 (2011). Reviewer: Jan-David Hardtke (Berlin) MSC: 40A30 42C05 PDFBibTeX XMLCite \textit{V. A. Mikhailets} and \textit{A. A. Murach}, Ukr. Math. J. 63, No. 10, 1543--1550 (2012; Zbl 1263.40001); translation from Ukr. Mat. Zh. 63, No. 10, 1360--1367 (2011) Full Text: DOI
Stasyuk, S. A. Best \(m\)-term approximation of the classes \(B_{\infty, \theta}^{r}\) of functions of many variables by polynomials in the Haar system. (English. Russian original) Zbl 1242.41027 Ukr. Math. J. 63, No. 4, 638-645 (2011); translation from Ukr. Mat. Zh. 63, No. 4, 549-555 (2011). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A46 41A50 42C10 PDFBibTeX XMLCite \textit{S. A. Stasyuk}, Ukr. Math. J. 63, No. 4, 638--645 (2011; Zbl 1242.41027); translation from Ukr. Mat. Zh. 63, No. 4, 549--555 (2011) Full Text: DOI
Livinskij, V. O. A remark about orthogonal polynomials. (English. Ukrainian original) Zbl 0840.42016 Ukr. Math. J. 46, No. 4, 408-412 (1994); translation from Ukr. Mat. Zh. 46, No. 4, 389-392 (1994). Reviewer: F.Móricz (Szeged) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{V. O. Livinskij}, Ukr. Math. J. 46, No. 4, 408--412 (1994; Zbl 0840.42016); translation from Ukr. Mat. Zh. 46, No. 4, 389--392 (1994) Full Text: DOI
Osilenker, B. P. M. G. Krein’s ideas in the theory of orthogonal polynomials. (English. Russian original) Zbl 0852.42008 Ukr. Math. J. 46, No. 1-2, 75-86 (1994); translation from Ukr. Mat. Zh. 46, No. 1-2, 76-86 (1994). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 42-03 01A60 PDFBibTeX XMLCite \textit{B. P. Osilenker}, Ukr. Math. J. 46, No. 1--2, 75--86 (1994; Zbl 0852.42008); translation from Ukr. Mat. Zh. 46, No. 1--2, 76--86 (1994) Full Text: DOI
Ben-Artzi, Asher; Gohberg, Israel On time-dependent orthogonal polynomials on the unit circle. (English) Zbl 0829.47022 Ukr. Math. J. 46, No. 1-2, 15-33 (1994) and Ukr. Mat. Zh. 46, No. 1-2, 18-26 (1994). MSC: 47B37 PDFBibTeX XMLCite \textit{A. Ben-Artzi} and \textit{I. Gohberg}, Ukr. Math. J. 46, No. 1--2, 15--33 (1994; Zbl 0829.47022) Full Text: DOI
Izvekov, I. G.; Martynenko, E. V. On Gevrey classes of certain self-adjoint differential operators with degeneration. (English. Russian original) Zbl 0817.47062 Ukr. Math. J. 45, No. 12, 1825-1831 (1993); translation from Ukr. Mat. Zh. 45, No. 12, 1622-1626 (1993). MSC: 47E05 46E10 46F05 PDFBibTeX XMLCite \textit{I. G. Izvekov} and \textit{E. V. Martynenko}, Ukr. Math. J. 45, No. 12, 1622--1626 (1993; Zbl 0817.47062); translation from Ukr. Mat. Zh. 45, No. 12, 1622--1626 (1993) Full Text: DOI
Stepakhno, V. I. Empirical correlation operator and many-dimensional Hermite polynomials. (English. Russian original) Zbl 0812.60012 Ukr. Math. J. 45, No. 6, 964-969 (1993); translation from Ukr. Mat. Zh. 45, No. 6, 871-875 (1993). Reviewer: A.M.Mathai (Montreal) MSC: 60B12 60H25 33C45 33C50 62H99 PDFBibTeX XMLCite \textit{V. I. Stepakhno}, Ukr. Math. J. 45, No. 6, 964--969 (1993; Zbl 0812.60012); translation from Ukr. Mat. Zh. 45, No. 6, 871--875 (1993) Full Text: DOI
Runovskij, K. V. A method of summation of the Fourier-Jacobi series. (English. Russian original) Zbl 0811.42006 Ukr. Math. J. 45, No. 5, 739-744 (1993); translation from Ukr. Mat. Zh. 45, No. 5, 676-680 (1993). Reviewer: B.Osilenker (Moskva) MSC: 42C10 40G05 PDFBibTeX XMLCite \textit{K. V. Runovskij}, Ukr. Math. J. 45, No. 5, 739--744 (1993; Zbl 0811.42006); translation from Ukr. Mat. Zh. 45, No. 5, 676--680 (1993) Full Text: DOI
Korzh, S. A.; Ovcharenko, I. E.; Ugrinovskij, R. A. Chebyshev’s recursion: Analytic principles and applications. (English. Russian original) Zbl 0809.42013 Ukr. Math. J. 45, No. 5, 684-705 (1993); translation from Ukr. Mat. Zh. 45, No. 5, 626-646 (1993). Reviewer: B.Osilenker (Moskva) MSC: 42C05 44A60 PDFBibTeX XMLCite \textit{S. A. Korzh} et al., Ukr. Math. J. 45, No. 5, 684--705 (1993; Zbl 0809.42013); translation from Ukr. Mat. Zh. 45, No. 5, 626--646 (1993) Full Text: DOI
Tasmambetov, Zh. N. A certain system of second-order partial differential equations. (English. Russian original) Zbl 0787.35009 Ukr. Math. J. 44, No. 3, 371-375 (1992); translation from Ukr. Mat. Zh. 44, No. 3, 427-430 (1992). MSC: 35A25 PDFBibTeX XMLCite \textit{Zh. N. Tasmambetov}, Ukr. Math. J. 44, No. 3, 371--375 (1992; Zbl 0787.35009); translation from Ukr. Mat. Zh. 44, No. 3, 427--430 (1992) Full Text: DOI
Chip, M. M. On methods for constructing generalized polynomial-type moment representations. (English. Ukrainian original) Zbl 0782.44006 Ukr. Math. J. 44, No. 7, 900-902 (1992); translation from Ukr. Mat. Zh. 44, No. 7, 995-997 (1992). MSC: 44A60 65R10 PDFBibTeX XMLCite \textit{M. M. Chip}, Ukr. Math. J. 44, No. 7, 900--902 (1992; Zbl 0782.44006); translation from Ukr. Mat. Zh. 44, No. 7, 995--997 (1992) Full Text: DOI
Groza, V. A. Quantum algebras, Kravchuk \(q\)-polynomials, and Kravchuk-Meixner \(q\)-function. (English. Ukrainian original) Zbl 0784.33009 Ukr. Math. J. 44, No. 7, 887-890 (1992); translation from Ukr. Mat. Zh. 44, No. 7, 983-986 (1992). Reviewer: J.Gilewicz (Marseille) MSC: 33D45 33D80 PDFBibTeX XMLCite \textit{V. A. Groza}, Ukr. Math. J. 44, No. 7, 887--890 (1992; Zbl 0784.33009); translation from Ukr. Mat. Zh. 44, No. 7, 983--986 (1992) Full Text: DOI
Prizva, G. I. Kravchuk orthogonal polynomials. (English. Ukrainian original) Zbl 0783.33006 Ukr. Math. J. 44, No. 7, 792-800 (1992); translation from Ukr. Mat. Zh. 44, No. 7, 880-888 (1992). MSC: 33C45 PDFBibTeX XMLCite \textit{G. I. Prizva}, Ukr. Math. J. 44, No. 7, 792--800 (1992; Zbl 0783.33006); translation from Ukr. Mat. Zh. 44, No. 7, 880--888 (1992) Full Text: DOI
Ugrinovskij, R. A. Trigonometric moment problem with a port, the Levinson algorithm, and some application issues. (English. Russian original) Zbl 0782.42007 Ukr. Math. J. 44, No. 5, 646-649 (1992); translation from Ukr. Mat. Zh. 44, No. 5, 713-716 (1992). Reviewer: B.Osilenker (Moskva) MSC: 42A70 44A60 42C05 PDFBibTeX XMLCite \textit{R. A. Ugrinovskij}, Ukr. Math. J. 44, No. 5, 646--649 (1992; Zbl 0782.42007); translation from Ukr. Mat. Zh. 44, No. 5, 713--716 (1992) Full Text: DOI
Noreddin, M. M.; Tikhonenko, N. Ya. Convergence of the method of orthogonal polynomials for approximate solution of integral equations of the first kind with \(\Pi\)-kernels. (English. Russian original) Zbl 0732.65118 Ukr. Math. J. 43, No. 2, 194-200 (1991); translation from Ukr. Mat. Zh. 43, No. 2, 223-229 (1991). Reviewer: J.Kofroň (Praha) MSC: 65R20 65R30 45B05 PDFBibTeX XMLCite \textit{M. M. Noreddin} and \textit{N. Ya. Tikhonenko}, Ukr. Math. J. 43, No. 2, 194--200 (1991; Zbl 0732.65118); translation from Ukr. Mat. Zh. 43, No. 2, 223--229 (1991) Full Text: DOI
Kal’nej, S. G. An analog of S. M. Nikol’skij’s theorem for Jacobi series. (English. Russian original) Zbl 0739.42014 Ukr. Math. J. 43, No. 4, 464-473 (1991); translation from Ukr. Mat. Zh. 43, No. 4, 503-513 (1991). MSC: 42C10 PDFBibTeX XMLCite \textit{S. G. Kal'nej}, Ukr. Math. J. 43, No. 4, 464--473 (1991; Zbl 0739.42014); translation from Ukr. Mat. Zh. 43, No. 4, 503--513 (1991)
Zhdanov, R. Z.; Revenko, I. V. Exact solutions of the nonlinear Dirac equation in terms of Bessel, Gauss and Legendre functions and Chebyshev-Hermite polynomials. (English. Russian original) Zbl 0739.35084 Ukr. Math. J. 42, No. 4, 500-503 (1990); translation from Ukr. Mat. Zh. 42, No. 4, 564-568 (1990). Reviewer: A.B.Borisov (Sverdlovsk) MSC: 35Q40 33E99 33C45 PDFBibTeX XMLCite \textit{R. Z. Zhdanov} and \textit{I. V. Revenko}, Ukr. Math. J. 42, No. 4, 500--503 (1990; Zbl 0739.35084); translation from Ukr. Mat. Zh. 42, No. 4, 564--568 (1990) Full Text: DOI
Skorokhod, A. V.; Stepakhno, V. I. Generalization of Hermite polynomials. (English. Russian original) Zbl 0727.33004 Ukr. Math. J. 42, No. 11, 1366-1370 (1990); translation from Ukr. Mat. Zh. 42, No. 11, 1524-1528 (1990). Reviewer: P.Maślanka (Łódź) MSC: 33C50 PDFBibTeX XMLCite \textit{A. V. Skorokhod} and \textit{V. I. Stepakhno}, Ukr. Math. J. 42, No. 11, 1366--1370 (1990; Zbl 0727.33004); translation from Ukr. Mat. Zh. 42, No. 11, 1524--1528 (1990) Full Text: DOI
Virchenko, N. A.; Fedotova, I. A. Integral representations of the generalized Legendre functions of the second kind \(Q_ k^{m,n}(z)\). (English. Russian original) Zbl 0718.33003 Ukr. Math. J. 42, No. 7, 875-879 (1990); translation from Ukr. Mat. Zh. 42, No. 7, 985-990 (1990). Reviewer: Hans-Jürgen Glaeske (Jena) MSC: 33C45 PDFBibTeX XMLCite \textit{N. A. Virchenko} and \textit{I. A. Fedotova}, Ukr. Math. J. 42, No. 7, 875--879 (1990; Zbl 0718.33003); translation from Ukr. Mat. Zh. 42, No. 7, 985--990 (1990) Full Text: DOI
Rodin, V. A. Majorant operators of strong summability of Fourier series. (English. Russian original) Zbl 0716.42008 Ukr. Math. J. 42, No. 5, 628-630 (1990); translation from Ukr. Mat. Zh. 42, No. 5, 710-713 (1990). MSC: 42A24 42A50 42C10 PDFBibTeX XMLCite \textit{V. A. Rodin}, Ukr. Math. J. 42, No. 5, 628--630 (1990; Zbl 0716.42008); translation from Ukr. Mat. Zh. 42, No. 5, 710--713 (1990) Full Text: DOI
Golub, A. P. Some properties of biorthogonal polynomials. (English. Russian original) Zbl 0713.42022 Ukr. Math. J. 41, No. 10, 1191-1194 (1989); translation from Ukr. Mat. Zh. 41, No. 10, 1384-1388 (1989). MSC: 42C05 PDFBibTeX XMLCite \textit{A. P. Golub}, Ukr. Math. J. 41, No. 10, 1191--1194 (1989; Zbl 0713.42022); translation from Ukr. Mat. Zh. 41, No. 10, 1384--1388 (1989) Full Text: DOI
Golub, A. P. A system of biorthogonal polynomials and its applications. (English. Russian original) Zbl 0706.33008 Ukr. Math. J. 41, No. 7, 821-823 (1989); translation from Ukr. Mat. Zh. 41, No. 7, 961-965 (1989). Reviewer: A.Lukashov MSC: 33C45 33D15 41A21 PDFBibTeX XMLCite \textit{A. P. Golub}, Ukr. Math. J. 41, No. 7, 821--823 (1989; Zbl 0706.33008); translation from Ukr. Mat. Zh. 41, No. 7, 961--965 (1989) Full Text: DOI
Sereda, Yu. F. Convergence of Fourier series with respect to an orthogonal system of functions. (English. Russian original) Zbl 0697.42024 Ukr. Math. J. 41, No. 5, 554-559 (1989); translation from Ukr. Mat. Zh. 41, No. 5, 641-647 (1989). Reviewer: K.Tandori MSC: 42C10 42A20 41A10 PDFBibTeX XMLCite \textit{Yu. F. Sereda}, Ukr. Math. J. 41, No. 5, 554--559 (1989; Zbl 0697.42024); translation from Ukr. Mat. Zh. 41, No. 5, 641--647 (1989) Full Text: DOI
Noreddin, M. M.; Tikhonenko, N. Ya. Approximate solving for singular integral equations of the first kind by the method of orthogonal polynomials. (English. Russian original) Zbl 0658.65139 Ukr. Math. J. 40, No. 1, 106-109 (1988); translation from Ukr. Mat. Zh. 40, No. 1, 124-127 (1988). MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{M. M. Noreddin} and \textit{N. Ya. Tikhonenko}, Ukr. Math. J. 40, No. 1, 106--109 (1988; Zbl 0658.65139); translation from Ukr. Mat. Zh. 40, No. 1, 124--127 (1988) Full Text: DOI
Stepanets, A. I. Mean-square rate of convergence of orthogonal series. (English. Russian original) Zbl 0714.42015 Ukr. Math. J. 39, No. 5, 493-497 (1987); translation from Ukr. Mat. Zh. 39, No. 5, 606-611 (1987). MSC: 42C05 42A10 42A16 PDFBibTeX XMLCite \textit{A. I. Stepanets}, Ukr. Math. J. 39, No. 5, 493--497 (1987; Zbl 0714.42015); translation from Ukr. Mat. Zh. 39, No. 5, 606--611 (1987) Full Text: DOI
Najko, D. A. Approximation of the derivatives of some combinations of operators of class B. (English. Russian original) Zbl 0699.41020 Ukr. Math. J. 39, No. 5, 473-477 (1987); translation from Ukr. Mat. Zh. 39, No. 5, 583-587 (1987). MSC: 41A36 42C10 42C15 PDFBibTeX XMLCite \textit{D. A. Najko}, Ukr. Math. J. 39, No. 5, 473--477 (1987; Zbl 0699.41020); translation from Ukr. Mat. Zh. 39, No. 5, 583--587 (1987) Full Text: DOI
Berezanskij, Yu. M.; Kalyuzhnyj, A. A. Hypercomplex systems originating from orthogonal polynomials. (English. Russian original) Zbl 0638.43004 Ukr. Math. J. 38, 237-246 (1986); translation from Ukr. Mat. Zh. 38, 275-284 (1986). Reviewer: Ch.F.Dunkl MSC: 43A20 33C45 PDFBibTeX XMLCite \textit{Yu. M. Berezanskij} and \textit{A. A. Kalyuzhnyj}, Ukr. Math. J. 38, 237--246 (1986; Zbl 0638.43004); translation from Ukr. Mat. Zh. 38, 275--284 (1986) Full Text: DOI
Glukhov, V. A. Summation of Fourier-Walsh series. (English. Russian original) Zbl 0614.42012 Ukr. Math. J. 38, 261-266 (1986); translation from Ukr. Mat. Zh. 38, No. 3, 261-266 (1986). Reviewer: J.Musielak MSC: 42C10 PDFBibTeX XMLCite \textit{V. A. Glukhov}, Ukr. Math. J. 38, 261--266 (1986; Zbl 0614.42012); translation from Ukr. Mat. Zh. 38, No. 3, 261--266 (1986) Full Text: DOI
Andrienko, V. A.; G”rnevska, L. V. Speed of approximation of functions by convergence systems. (English) Zbl 0514.42035 Ukr. Math. J. 34, 278-280 (1983). MSC: 42C15 42A20 42A05 PDFBibTeX XMLCite \textit{V. A. Andrienko} and \textit{L. V. G''rnevska}, Ukr. Math. J. 34, 278--280 (1983; Zbl 0514.42035) Full Text: DOI
Tsvil’, M. M. Double Faber series. (English) Zbl 0491.42029 Ukr. Math. J. 33, 104-107 (1981). MSC: 42C15 42C05 32A05 40C99 PDFBibTeX XMLCite \textit{M. M. Tsvil'}, Ukr. Math. J. 33, 104--107 (1981; Zbl 0491.42029) Full Text: DOI
Zhukovskij, A. N. Some integral transformations in the elliptic coordinate system. (English) Zbl 0447.44004 Ukr. Math. J. 30, 409-414 (1978). MSC: 44A15 42B10 42C10 44A30 PDFBibTeX XMLCite \textit{A. N. Zhukovskij}, Ukr. Math. J. 30, 409--414 (1978; Zbl 0447.44004) Full Text: DOI
Prypik, A. S. Stability of approximation of functions with the aid of generalized Faber polynomials. (English) Zbl 0333.41014 Ukr. Math. J. 27(1975), 577-580 (1976). MSC: 41A30 42C05 30E10 30E20 41A10 PDFBibTeX XMLCite \textit{A. S. Prypik}, Ukr. Math. J. 27, 577--580 (1976; Zbl 0333.41014) Full Text: DOI
Kolyada, V. I. On the rate of convergence of orthogonal series. (English) Zbl 0309.42009 Ukr. Math. J. 25, 19-29 (1973). MSC: 42C15 42C05 PDFBibTeX XMLCite \textit{V. I. Kolyada}, Ukr. Math. J. 25, 19--29 (1973; Zbl 0309.42009) Full Text: DOI
Spasokukockaja, S. A. Approximate solution of the Cauchy problem by means of polynomial operators. (English) Zbl 0272.34017 Ukr. Math. J. 24(1972), 679-681 (1973). MSC: 65J99 65L05 33C45 41A10 PDFBibTeX XMLCite \textit{S. A. Spasokukockaja}, Ukr. Math. J. 24, 679--681 (1973; Zbl 0272.34017) Full Text: DOI
Demenin, A. N. Functional Laguerre polynomials, their properties and applications. (English. Russian original) Zbl 0247.60016 Ukr. Math. J. 23(1971), 442-448 (1972); translation from Ukr. Mat. Zh. 23, 527-535 (1971). MSC: 60E05 33C45 PDFBibTeX XMLCite \textit{A. N. Demenin}, Ukr. Math. J. 23, 442--448 (1972; Zbl 0247.60016); translation from Ukr. Mat. Zh. 23, 527--535 (1971) Full Text: DOI
Demenin, A. N. On a class of orthogonal polynomials in several variables. (English) Zbl 0226.33015 Ukr. Math. J. 23 (1971), 324-328 (1972). MSC: 33C45 PDFBibTeX XMLCite \textit{A. N. Demenin}, Ukr. Math. J. 23, 324--328 (1972; Zbl 0226.33015) Full Text: DOI
Khoroshko, N. P. Uniform approximation in classes of continuous functions by polynomials in the Haar system. (English) Zbl 0225.42004 Ukr. Math. J. 22 (1970), 611-618 (1971). MSC: 42C05 33C45 41A50 PDFBibTeX XMLCite \textit{N. P. Khoroshko}, Ukr. Math. J. 22, 611--618 (1971; Zbl 0225.42004) Full Text: DOI
Demenin, A. N. Properties of functional Hermitian polynomials. (English) Zbl 0209.48603 Ukr. Math. J. 21(1969), 320-324 (1970). MSC: 60G15 33C45 60B99 PDFBibTeX XMLCite \textit{A. N. Demenin}, Ukr. Math. J. 21, 320--324 (1970; Zbl 0209.48603) Full Text: DOI
Stovbun, A. V. On uniform approximation in a closed region by means of generalized Faber polynomials. (English) Zbl 0205.37904 Ukr. Math. J. 21(1969), 711-717 (1970). MSC: 30E10 33C45 PDFBibTeX XMLCite \textit{A. V. Stovbun}, Ukr. Math. J. 21, 711--717 (1970; Zbl 0205.37904) Full Text: DOI
Golinskij, B. L. On the rapidity of convergence of sequences of orthogonal polynomials to a limit function. (English) Zbl 0208.33901 Ukr. Math. J. 19(1967), 385-402 (1969). MSC: 42A10 41A50 42C10 PDFBibTeX XMLCite \textit{B. L. Golinskij}, Ukr. Math. J. 19, 385--402 (1969; Zbl 0208.33901) Full Text: DOI