Buslaev, V. I. On a criterion of rationality for a series in orthogonal polynomials. (Russian, English) Zbl 1240.30005 Ukr. Mat. Zh. 62, No. 8, 1139-1144 (2010); translation in Ukr. Math. J. 62, No. 8, 1326-1332 (2010). MSC: 30B10 PDFBibTeX XMLCite \textit{V. I. Buslaev}, Ukr. Mat. Zh. 62, No. 8, 1139--1144 (2010; Zbl 1240.30005); translation in Ukr. Math. J. 62, No. 8, 1326--1332 (2010) Full Text: DOI
Thao, N. X.; Virchenko, N. O. On the polyconvolution for the Fourier cosine, Fourier sine, and Kontorovich-Lebedev integral transforms. (English) Zbl 1240.33012 Ukr. Mat. Zh. 62, No. 10, 1388-1399 (2010) and in Ukr. Math. J. 62, No. 10, 1611-1624 (2010). MSC: 33C47 44A15 PDFBibTeX XMLCite \textit{N. X. Thao} and \textit{N. O. Virchenko}, Ukr. Mat. Zh. 62, No. 10, 1388--1399 (2010; Zbl 1240.33012) Full Text: DOI
Motornyj, V. P.; Goncharov, S. V.; Nitiema, P. K. On the mean convergence of Fourier-Jacobi series. (Russian, English) Zbl 1224.42080 Ukr. Mat. Zh. 62, No. 6, 814-828 (2010); translation in Ukr. Math. J. 62, No. 6, 943-960 (2010). MSC: 42C10 PDFBibTeX XMLCite \textit{V. P. Motornyj} et al., Ukr. Mat. Zh. 62, No. 6, 814--828 (2010; Zbl 1224.42080); translation in Ukr. Math. J. 62, No. 6, 943--960 (2010) Full Text: DOI
Gonska, H.; Pǎltǎnea, R. Quantitative convergence theorems for a class of Bernstein-Durrmeyer operators preserving linear functions. (English) Zbl 1224.42079 Ukr. Mat. Zh. 62, No. 7, 913-922 (2010) and in Ukr. Math. J. 62, No. 7, 1061-1072 (2010). MSC: 42C10 41A36 PDFBibTeX XMLCite \textit{H. Gonska} and \textit{R. Pǎltǎnea}, Ukr. Mat. Zh. 62, No. 7, 913--922 (2010; Zbl 1224.42079) Full Text: DOI
Singh, B. M.; Rokne, J.; Dhaliwal, R. S. On closed-form solutions of triple series equations involving Laguerre polynomials. (English) Zbl 1224.33007 Ukr. Mat. Zh. 62, No. 2, 231-237 (2010) and in Ukr. Math. J. 62, No. 2, 259-267 (2010). MSC: 33C45 PDFBibTeX XMLCite \textit{B. M. Singh} et al., Ukr. Mat. Zh. 62, No. 2, 231--237 (2010; Zbl 1224.33007) Full Text: DOI
Goginava, U.; Nagy, K. On the maximal operator of \((C,\alpha)\)-means of Walsh-Kaczmarz-Fourier series. (English) Zbl 1224.42077 Ukr. Mat. Zh. 62, No. 2, 158-166 (2010) and in Ukr. Math. J. 62, No. 2, 175-185 (2010). MSC: 42C10 PDFBibTeX XMLCite \textit{U. Goginava} and \textit{K. Nagy}, Ukr. Mat. Zh. 62, No. 2, 158--166 (2010; Zbl 1224.42077) Full Text: DOI
Adamov, A. N. Inequality of the Turán type for trigonometric polynomials and conjugate trigonometric polynomials in \(L_0\). (Russian, English) Zbl 1224.42001 Ukr. Mat. Zh. 61, No. 7, 986-994 (2009); translation in Ukr. Math. J. 61, No. 7, 1169-1179 (2009). MSC: 42A05 46E22 11K38 33C45 42A10 PDFBibTeX XMLCite \textit{A. N. Adamov}, Ukr. Mat. Zh. 61, No. 7, 986--994 (2009; Zbl 1224.42001); translation in Ukr. Math. J. 61, No. 7, 1169--1179 (2009) Full Text: DOI
Il’inskaya, I. P. Arithmetic of semigroups of series in multiplicative systems. (Russian, English) Zbl 1224.60018 Ukr. Mat. Zh. 61, No. 7, 939-947 (2009); translation in Ukr. Math. J. 61, No. 7, 1113-1122 (2009). MSC: 60E05 33C45 20M20 PDFBibTeX XMLCite \textit{I. P. Il'inskaya}, Ukr. Mat. Zh. 61, No. 7, 939--947 (2009; Zbl 1224.60018); translation in Ukr. Math. J. 61, No. 7, 1113--1122 (2009) Full Text: DOI
Gavran, V. S. Simple derivations of higher degree in two variables. (Ukrainian, English) Zbl 1224.33008 Ukr. Mat. Zh. 61, No. 4, 568-571 (2009); translation in Ukr. Math. J. 61, No. 4, 682-686 (2009). MSC: 33C50 PDFBibTeX XMLCite \textit{V. S. Gavran}, Ukr. Mat. Zh. 61, No. 4, 568--571 (2009; Zbl 1224.33008); translation in Ukr. Math. J. 61, No. 4, 682--686 (2009) Full Text: DOI
Lasuriya, R. A. Summation of Fourier-Laplace series in the space \(L(S^m)\). (Russian, English) Zbl 1097.42021 Ukr. Mat. Zh. 57, No. 4, 496-504 (2005); translation in Ukr. Math. J. 57, No. 4, 600-609 (2005). MSC: 42C10 PDFBibTeX XMLCite \textit{R. A. Lasuriya}, Ukr. Mat. Zh. 57, No. 4, 496--504 (2005; Zbl 1097.42021); translation in Ukr. Math. J. 57, No. 4, 600--609 (2005) Full Text: DOI
Atakishiyev, N. M.; Klimyk, A. U. Jacobi matrix pair and dual alternative \(q\)-Charlier polynomials. (English) Zbl 1097.33014 Ukr. Mat. Zh. 57, No. 5, 614-621 (2005) and Ukr. Math. J. 57, No. 5, 728-737 (2005). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 33D45 33D80 47A57 47B36 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} and \textit{A. U. Klimyk}, Ukr. Mat. Zh. 57, No. 5, 614--621 (2005; Zbl 1097.33014) Full Text: DOI
Golub, A. P. Method of generalized moment representation in the theory of rational approximation. (English. Ukrainian original) Zbl 1037.41009 Ukr. Math. J. 55, No. 3, 377-433 (2003); translation from Ukr. Mat. Zh. 55, No. 3, 307-359 (2003). Reviewer: A. M. Gomilko (Kyïv) MSC: 41A21 41-02 47A57 PDFBibTeX XMLCite \textit{A. P. Golub}, Ukr. Mat. Zh. 55, No. 3, 307--359 (2003; Zbl 1037.41009); translation from Ukr. Mat. Zh. 55, No. 3, 307--359 (2003) Full Text: DOI
Lasuriya, R. A. The characteristics of points of strong summability of the Fourier-Laplace series for functions from the class \(L(S^m)\) in the case of critical indicator. (Russian. English summary) Zbl 1029.42021 Ukr. Mat. Zh. 54, No. 10, 1437-1439 (2002). Reviewer: A.M.Gomilko (Kyïv) MSC: 42C10 42C15 PDFBibTeX XMLCite \textit{R. A. Lasuriya}, Ukr. Mat. Zh. 54, No. 10, 1437--1439 (2002; Zbl 1029.42021) Full Text: DOI
Abdullaev, F. G.; Küçükaslan, M. On convergence of the Fourier series with orthogonal polynomials inside and on the closure of a region. (English. English summary) Zbl 1025.42002 Ukr. Mat. Zh. 54, No. 10, 1299-1312 (2002). MSC: 42A20 33C45 42C05 30E99 PDFBibTeX XMLCite \textit{F. G. Abdullaev} and \textit{M. Küçükaslan}, Ukr. Mat. Zh. 54, No. 10, 1299--1312 (2002; Zbl 1025.42002) Full Text: DOI
Lasuriya, R. A. \((\phi,\alpha)\)-strong summability of Fourier-Laplace series of functions continuous on a sphere. (English. Russian original) Zbl 1006.42028 Ukr. Math. J. 54, No. 5, 806-818 (2002); translation from Ukr. Mat. Zh. 54, No. 5, 656-665 (2002). Reviewer: A.M.Gomilko (Kyïv) MSC: 42C15 42C10 41A50 PDFBibTeX XMLCite \textit{R. A. Lasuriya}, Ukr. Mat. Zh. 54, No. 5, 656--665 (2002; Zbl 1006.42028); translation from Ukr. Mat. Zh. 54, No. 5, 656--665 (2002) Full Text: DOI
Golubov, B. I. On modified strong dyadic integral and derivative. (English. Russian original) Zbl 1006.42026 Ukr. Math. J. 54, No. 5, 770-784 (2002); translation from Ukr. Mat. Zh. 54, No. 5, 628-638 (2002). Reviewer: A.M.Gomilko (Kyïv) MSC: 42C10 42A38 42B30 PDFBibTeX XMLCite \textit{B. I. Golubov}, Ukr. Mat. Zh. 54, No. 5, 628--638 (2002; Zbl 1006.42026); translation from Ukr. Mat. Zh. 54, No. 5, 628--638 (2002) Full Text: DOI
Abdullaev, F. G. On some properties of orthogonal polynomials over an area in domains of the complex plane. III. (English) Zbl 1051.30500 Ukr. Math. J. 53, No. 12, 1934-1948 (2001) and Ukr. Mat. Zh. 53, No. 12, 1588-1599 (2001). MSC: 30C10 42C05 PDFBibTeX XMLCite \textit{F. G. Abdullaev}, Ukr. Mat. Zh. 53, No. 12, 1588--1599 (2001; Zbl 1051.30500) Full Text: DOI
Dovgoshej, A. A. Three-term recurrence relation for polynomials orthogonal with respect to harmonic measure. (English. Russian original) Zbl 0984.42017 Ukr. Math. J. 53, No. 2, 167-177 (2001); translation from Ukr. Mat. Zh. 53, No. 2, 147-155 (2001). Reviewer: A.N.Kochubei (Kyïv) MSC: 42C05 30D55 PDFBibTeX XMLCite \textit{A. A. Dovgoshej}, Ukr. Mat. Zh. 53, No. 2, 147--155 (2001; Zbl 0984.42017); translation from Ukr. Mat. Zh. 53, No. 2, 147--155 (2001)
Abdullaev, F. G. On some properties of orthogonal polynomials over an area in domains of the complex plane. II. (English. Russian original) Zbl 1050.30005 Ukr. Math. J. 53, No. 1, 1-14 (2001); translation from Ukr. Mat. Zh. 53, No. 1, 3-13 (2001). MSC: 30C10 42C05 PDFBibTeX XMLCite \textit{F. G. Abdullaev}, Ukr. Mat. Zh. 53, No. 1, 3--13 (2001; Zbl 1050.30005); translation from Ukr. Mat. Zh. 53, No. 1, 3--13 (2001) Full Text: DOI
Abdullaev, F. G. On some properties of orthogonal polynomials over an area in domains of the complex plane. I. (English. Russian original) Zbl 0988.42017 Ukr. Math. J. 52, No. 12, 1807-1817 (2000); translation from Ukr. Mat. Zh. 52, No. 12, 1587-1595 (2000). MSC: 42C05 PDFBibTeX XMLCite \textit{F. G. Abdullaev}, Ukr. Mat. Zh. 52, No. 12, 1587--1595 (2000; Zbl 0988.42017); translation from Ukr. Mat. Zh. 52, No. 12, 1587--1595 (2000) Full Text: DOI
Dorogovtsev, A. A. Measurable functionals and finitely absolutely continuous measures on Banach spaces. (English. Russian original) Zbl 0976.60004 Ukr. Math. J. 52, No. 9, 1366-1379 (2000); translation from Ukr. Mat. Zh. 52, No. 9, 1194-1204 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60A10 60G57 46G12 28B05 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Ukr. Mat. Zh. 52, No. 9, 1194--1204 (2000; Zbl 0976.60004); translation from Ukr. Mat. Zh. 52, No. 9, 1194--1204 (2000) Full Text: DOI
Andrienko, V. A. On the order of growth of rectangular partial sums of double orthogonal series. (English. Russian original) Zbl 0956.42018 Ukr. Math. J. 51, No. 10, 1461-1475 (1999); translation from Ukr. Mat. Zh. 51, No. 10, 1299-1310 (1999). MSC: 42C15 42C05 PDFBibTeX XMLCite \textit{V. A. Andrienko}, Ukr. Mat. Zh. 51, No. 10, 1299--1310 (1999; Zbl 0956.42018); translation from Ukr. Mat. Zh. 51, No. 10, 1299--1310 (1999)
Timan, M. F. On some inequalities for polynomials. (English. Russian original) Zbl 0957.42013 Ukr. Math. J. 50, No. 9, 1473-1477 (1998); translation from Ukr. Mat. Zh. 50, No. 9, 1289-1292 (1998). MSC: 42C05 26D05 42A75 41A17 PDFBibTeX XMLCite \textit{M. F. Timan}, Ukr. Mat. Zh. 50, No. 9, 1289--1292 (1998; Zbl 0957.42013); translation from Ukr. Mat. Zh. 50, No. 9, 1289--1292 (1998) Full Text: DOI
Kachurik, I. I. \(q\)-numbers of quantum groups, Fibonacci numbers, and orthogonal polynomials. (English. Ukrainian original) Zbl 0934.05012 Ukr. Math. J. 50, No. 8, 1201-1211 (1998); translation from Ukr. Mat. Zh. 50, No. 8, 1055-1063 (1998). Reviewer: A.N.Kochubei (Kyïv) MSC: 05A30 11B39 05E35 05A15 PDFBibTeX XMLCite \textit{I. I. Kachurik}, Ukr. Mat. Zh. 50, No. 8, 1055--1063 (1998; Zbl 0934.05012); translation from Ukr. Mat. Zh. 50, No. 8, 1055--1063 (1998) Full Text: DOI
Gladkivska, O. V. An example of a complete orthonormal system in a Hilbert space of generalized functions. (Ukrainian) Zbl 0887.46014 Ukr. Mat. Zh. 49, No. 5, 725-728 (1997). Reviewer: A.N.Kochubei (Kyïv) MSC: 46F05 42C10 47A70 PDFBibTeX XMLCite \textit{O. V. Gladkivska}, Ukr. Mat. Zh. 49, No. 5, 725--728 (1997; Zbl 0887.46014) Full Text: DOI
Gladkivska, O. V. An example of a complete orthonormal system in a Hilbert space of generalized functions. (English. Ukrainian original) Zbl 0932.46027 Ukr. Math. J. 49, No. 5, 812-815 (1997); translation from Ukr. Mat. Zh. 49, No. 5, 725-728 (1997). MSC: 46F05 42C10 47A70 PDFBibTeX XMLCite \textit{O. V. Gladkivska}, Ukr. Mat. Zh. 49, No. 5, 725--728 (1997; Zbl 0932.46027); translation from Ukr. Mat. Zh. 49, No. 5, 725--728 (1997) Full Text: DOI
Pilipenko, A. Yu. On local operators diagonal with respect to the system of Hermite polynomials. (English. Russian original) Zbl 0943.47026 Ukr. Math. J. 47, No. 4, 645-653 (1995); translation from Ukr. Mat. Zh. 47, No. 4, 555-561 (1995). Reviewer: A.N.Kochubei (Kyïv) MSC: 47B38 47B25 33C45 PDFBibTeX XMLCite \textit{A. Yu. Pilipenko}, Ukr. Mat. Zh. 47, No. 4, 555--561 (1995; Zbl 0943.47026); translation from Ukr. Mat. Zh. 47, No. 4, 555--561 (1995) Full Text: DOI
Golub, A. P. Generalized moment representations, biorthogonal polynomials and Padé approximants. (English. Russian original) Zbl 0857.41013 Ukr. Math. J. 46, No. 10, 1463-1471 (1994); translation from Ukr. Mat. Zh. 46, No. 10, 1328-1355 (1994). Reviewer: A.Martínez Finkelshtein (Almeria) MSC: 41A21 42C05 30E05 47A57 PDFBibTeX XMLCite \textit{A. P. Golub}, Ukr. Mat. Zh. 46, No. 10, 1328--1355 (1994; Zbl 0857.41013); translation from Ukr. Mat. Zh. 46, No. 10, 1328--1355 (1994) Full Text: DOI
Golub, A. P. Some properties of biorthogonal polynomials and their application to Padé approximations. (English. Russian original) Zbl 0856.41014 Ukr. Math. J. 46, No. 8, 1070-1078 (1994); translation from Ukr. Mat. Zh. 46, No. 8, 977-984 (1994). Reviewer: A.Martínez Finkelshtein (Almeria) MSC: 41A21 42C05 30E05 47A57 PDFBibTeX XMLCite \textit{A. P. Golub}, Ukr. Mat. Zh. 46, No. 8, 977--984 (1994; Zbl 0856.41014); translation from Ukr. Mat. Zh. 46, No. 8, 977--984 (1994) Full Text: DOI
Chip, M. M. Methods for the construction of generalized moment images of polynomial form. (Ukrainian. Russian summary) Zbl 0771.44006 Ukr. Mat. Zh. 44, No. 7, 995-997 (1992). MSC: 44A60 65R10 PDFBibTeX XMLCite \textit{M. M. Chip}, Ukr. Mat. Zh. 44, No. 7, 995--997 (1992; Zbl 0771.44006) Full Text: DOI
Prizva, G. I. Kravchuk orthogonal polynomials. (Ukrainian) Zbl 0768.33009 Ukr. Mat. Zh. 44, No. 7, 880-888 (1992). Reviewer: J.Gilewicz (Marseille) MSC: 33C45 PDFBibTeX XMLCite \textit{G. I. Prizva}, Ukr. Mat. Zh. 44, No. 7, 880--888 (1992; Zbl 0768.33009)
Tasmambetov, Zh. N. On a system of second order partial differential equations. (Russian) Zbl 0754.35005 Ukr. Mat. Zh. 44, No. 3, 427-430 (1992). Reviewer: P.Chocholatý (Bratislava) MSC: 35A25 PDFBibTeX XMLCite \textit{Zh. N. Tasmambetov}, Ukr. Mat. Zh. 44, No. 3, 427--430 (1992; Zbl 0754.35005) Full Text: DOI
Kal’nej, S. G. On an analogue of the theorem of S. M. Nikol’skij for Jacobi series. (Russian) Zbl 0731.42026 Ukr. Mat. Zh. 43, No. 4, 503-513 (1991). Reviewer: L.Leindler (Szeged) MSC: 42C10 PDFBibTeX XMLCite \textit{S. G. Kal'nej}, Ukr. Mat. Zh. 43, No. 4, 503--513 (1991; Zbl 0731.42026)
Golub, A. P. Some properties of biorthogonal polynomials. (Russian) Zbl 0696.42017 Ukr. Mat. Zh. 41, No. 10, 1384-1388 (1989). Reviewer: T.Šalát MSC: 42C05 PDFBibTeX XMLCite \textit{A. P. Golub}, Ukr. Mat. Zh. 41, No. 10, 1384--1388 (1989; Zbl 0696.42017) Full Text: DOI
Noreddin, M. M.; Tikhonenko, N. Ya. An approximate solution of singular integral equations of the first kind by the orthogonal polynomial method. (Russian) Zbl 0647.65092 Ukr. Mat. Zh. 40, No. 1, 124-127 (1988). Reviewer: J.Kolomý MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{M. M. Noreddin} and \textit{N. Ya. Tikhonenko}, Ukr. Mat. Zh. 40, No. 1, 124--127 (1988; Zbl 0647.65092) Full Text: DOI
Stepanets, A. I. Mean square rate of convergence of orthogonal series. (Russian) Zbl 0644.42023 Ukr. Mat. Zh. 39, No. 5, 606-611 (1987). Reviewer: J.Musielak MSC: 42C05 42A10 42A16 PDFBibTeX XMLCite \textit{A. I. Stepanets}, Ukr. Mat. Zh. 39, No. 5, 606--611 (1987; Zbl 0644.42023)
Andrienko, V. A.; G”rnevska, L. V. On the rate of approximation of functions by their orthogonal series with respect to convergence systems. (Russian) Zbl 0507.42011 Ukr. Mat. Zh. 34, 341-344 (1982). MSC: 42C15 42C05 42A20 PDFBibTeX XMLCite \textit{V. A. Andrienko} and \textit{L. V. G''rnevska}, Ukr. Mat. Zh. 34, 341--344 (1982; Zbl 0507.42011) Full Text: DOI
Tsvil’, M. M. Faber double series. (Russian) Zbl 0471.42020 Ukr. Mat. Zh. 33, 128-133 (1981). MSC: 42C15 42C05 40C99 32A05 PDFBibTeX XMLCite \textit{M. M. Tsvil'}, Ukr. Mat. Zh. 33, 128--133 (1981; Zbl 0471.42020) Full Text: DOI
Zhukovskij, A. N. Über gewisse Integraltransformationen in einem elliptischen Koordinatensystem. (Russian) Zbl 0402.44006 Ukr. Mat. Zh. 30, 529-536 (1978). MSC: 44A30 44A15 42B10 42C10 PDFBibTeX XMLCite \textit{A. N. Zhukovskij}, Ukr. Mat. Zh. 30, 529--536 (1978; Zbl 0402.44006)
Prypik, A. S. Über die Stabilität der Approximation von Funktionen mit Hilfe verallgemeinerter Faberscher Polynome. (Russian) Zbl 0328.41017 Ukr. Mat. Zh. 27, 695-701 (1975). MSC: 41A30 42C05 30E10 30E20 41A10 PDFBibTeX XMLCite \textit{A. S. Prypik}, Ukr. Mat. Zh. 27, 695--701 (1975; Zbl 0328.41017)
Kolyada, V. I. Über die Konvergenzgeschwindigkeit von Orthogonalreihen. (Russian) Zbl 0305.42016 Ukr. Mat. Zh. 25, 25-38 (1973). MSC: 42C15 42C05 PDFBibTeX XMLCite \textit{V. I. Kolyada}, Ukr. Mat. Zh. 25, 25--38 (1973; Zbl 0305.42016) Full Text: DOI
Demenin, A. N. On a class of orthogonal polynomials in several variables. (Russian) Zbl 0224.33019 Ukr. Mat. Zh. 23, 381-387 (1971). MSC: 33C45 PDFBibTeX XMLCite \textit{A. N. Demenin}, Ukr. Mat. Zh. 23, 381--387 (1971; Zbl 0224.33019)
Khoroshko, N. P. Gleichmäßige Approximation vermittels Polynome nach dem Haarschen System auf Klassen stetiger Funktionen. (Russian) Zbl 0216.39503 Ukr. Mat. Zh. 22, 705-712 (1970). MSC: 42C05 33C45 41A50 PDFBibTeX XMLCite \textit{N. P. Khoroshko}, Ukr. Mat. Zh. 22, 705--712 (1970; Zbl 0216.39503) Full Text: DOI
Golinskij, B. L. Über die Geschwindigkeit der Konvergenz einer Folge von Orthogonalpolynomen gegen eine Grenzfunktion. (Russian) Zbl 0206.35201 Ukr. Mat. Zh. 19, No. 4, 11-28 (1967). MSC: 42A10 41A50 42C10 PDFBibTeX XMLCite \textit{B. L. Golinskij}, Ukr. Mat. Zh. 19, No. 4, 11--28 (1967; Zbl 0206.35201)
Remez, E. Ya. ’Trigonometrische’ Chebyshevsche Polynome sind auch hyperbolisch. (Russian) Zbl 0123.26403 Ukr. Mat. Zh. 16, 406-408 (1964). MSC: 33C45 PDFBibTeX XMLCite \textit{E. Ya. Remez}, Ukr. Mat. Zh. 16, 406--408 (1964; Zbl 0123.26403)