Milovanović, Gradimir V. Orthogonality on the semicircle: old and new results. (English) Zbl 1523.30014 ETNA, Electron. Trans. Numer. Anal. 59, 99-115 (2023). MSC: 30C10 30C15 33C45 × Cite Format Result Cite Review PDF Full Text: DOI Link
Milovanović, Gradimir V. Symbolic computation of recurrence coefficients for polynomials orthogonal with respect to the Szegő-Bernstein weights. (English) Zbl 1531.33043 Math. Found. Comput. 6, No. 3, 460-473 (2023). MSC: 33F10 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V.; Vasović, Nevena M. Some modifications of the Chebyshev measures and the corresponding orthogonal polynomials. (English) Zbl 1528.33012 Bull., Cl. Sci. Math. Nat., Sci. Math. 47, 67-83 (2022). MSC: 33C45 33F10 × Cite Format Result Cite Review PDF Full Text: Link
Gautschi, Walter; Milovanović, Gradimir V. Orthogonal polynomials relative to weight functions of Prudnikov type. (English) Zbl 1490.33004 Numer. Algorithms 90, No. 1, 263-270 (2022). Reviewer: C. L. Parihar (Indore) MSC: 33C47 15B52 33-04 × Cite Format Result Cite Review PDF Full Text: DOI
Gautschi, Walter; Milovanović, Gradimir V. Orthogonal polynomials relative to a generalized Marchenko-Pastur probability measure. (English) Zbl 1486.33015 Numer. Algorithms 88, No. 3, 1233-1249 (2021). MSC: 33C47 15B52 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V.; Simsek, Yilmaz Dedekind and Hardy type sums and trigonometric sums induced by quadrature formulas. (English) Zbl 07216532 Raigorodskii, Andrei M. (ed.) et al., Trigonometric sums and their applications. Cham: Springer. 183-228 (2020). MSC: 65-XX 41Axx 65Axx 65Dxx 00Axx × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V.; Pranić, Miroslav S.; Spalević, Miodrag M. Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation. II. (English) Zbl 1499.65089 Appl. Anal. Discrete Math. 13, No. 1, 1-27 (2019). MSC: 65D32 41A55 65D07 33C47 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V. Special cases of orthogonal polynomials on the semicircle and applications in numerical analysis. (English) Zbl 1469.30011 Bull., Cl. Sci. Math. Nat., Sci. Math. 44, 1-28 (2019). MSC: 30C10 33C47 × Cite Format Result Cite Review PDF Full Text: Link
Milovanović, Gradimir V.; Orive, Ramón; Spalević, Miodrag M. Quadratures with multiple nodes for Fourier-Chebyshev coefficients. (English) Zbl 1484.65050 IMA J. Numer. Anal. 39, No. 1, 271-296 (2019). MSC: 65D30 41A10 41A55 × Cite Format Result Cite Review PDF Full Text: DOI
Cvetković, Aleksandar S.; Milovanović, Gradimir V.; Vasović, Nevena Recurrence relation and differential equation for a class of orthogonal polynomials. (English) Zbl 1390.33020 Result. Math. 73, No. 1, Paper No. 16, 19 p. (2018). MSC: 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Cvetković, Aleksandar S.; Matejić, Marjan M.; Milovanović, Gradimir V. Orthogonal polynomials for modified Chebyshev measure of the first kind. (English) Zbl 1339.33013 Result. Math. 69, No. 3-4, 443-455 (2016). MSC: 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Hayotov, Abdullo R.; Milovanović, Gradimir V.; Shadimetov, Kholmat M. Optimal quadratures in the sense of sard in a Hilbert space. (English) Zbl 1390.41038 Appl. Math. Comput. 259, 637-653 (2015). MSC: 41A55 65D30 65D32 41A15 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, G. V.; Joksimović, D. On a connection between some trigonometric quadrature rules and Gauss-Radau formulas with respect to the Chebyshev weight. (English) Zbl 1474.65051 Bull., Cl. Sci. Math. Nat., Sci. Math. 146, No. 39, 79-88 (2014). MSC: 65D30 65D32 × Cite Format Result Cite Review PDF
Gautschi, Walter Brezinski, Claude (ed.); Sameh, Ahmed (ed.) [Milovanović, Gradimir V.; Reichel, Lothar; Korevaar, Jaap; Monegato, Giovanni; Van Assche, Walter] Walter Gautschi, Volume 2. Selected works with commentaries. Edited by Claude Brezinski and Ahmed Sameh. (English) Zbl 1292.01006 Contemporary Mathematicians. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-7048-9/hbk; 978-1-4614-7049-6/ebook). xiii, 914 p. (2014). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 01A75 01A70 33-06 65-03 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V.; Joksimović, Dušan Properties of Boubaker polynomials and an application to Love’s integral equation. (English) Zbl 1334.33027 Appl. Math. Comput. 224, 74-87 (2013). MSC: 33C45 45B05 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V.; Pejčev, Aleksandar V.; Spalević, Miodrag M. A note on an error bound of Gauss-Turán quadrature with the Chebyshev weight. (English) Zbl 1340.65034 Filomat 27, No. 6, 1037-1042 (2013). Reviewer: Marija Stanić (Kragujevac) MSC: 65D32 41A55 41A80 × Cite Format Result Cite Review PDF Full Text: DOI
Gutman, I.; Milovanović, G. V. Calculating a class of integrals encountered in theoretical chemistry. (English) Zbl 1289.65037 Bull., Cl. Sci. Math. Nat., Sci. Math. 143, No. 36, 1-19 (2011). Reviewer: Marija Stanić (Kragujevac) MSC: 65D32 41A55 92E99 × Cite Format Result Cite Review PDF
Cvetković, A. S.; Milovanović, G. V.; Matejić, M. M. Rational algorithm for quadratic Christoffel modification and applications to the constrained \(L^2\)-approximation. (English) Zbl 1242.33012 Int. J. Comput. Math. 88, No. 14, 3012-3025 (2011). MSC: 33C45 33C47 41A10 41A29 65F25 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V.; Cvetković, Aleksandar S.; Stanić, Marija P. A generalized Birkhoff-Young-Chebyshev quadrature formula for analytic functions. (English) Zbl 1225.65031 Appl. Math. Comput. 218, No. 3, 944-948 (2011). MSC: 65D30 65D32 30E20 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V.; Spalević, Miodrag M.; Pranić, Miroslav S. Bounds of the error of Gauss-Turán-type quadratures. II. (English) Zbl 1200.41034 Appl. Numer. Math. 60, No. 1-2, 1-9 (2010). Reviewer: Alla Boikova (Penza) MSC: 41A55 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V.; Spalević, Miodrag M.; Pranić, Miroslav S. Error estimates for Gaussian quadratures of analytic functions. (English) Zbl 1181.41048 J. Comput. Appl. Math. 233, No. 3, 802-807 (2009). Reviewer: Kai Diethelm (Braunschweig) MSC: 41A55 65D30 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V.; Spalević, Miodrag M.; Pranić, Miroslav S. Error estimates for Gauss-Turán quadratures and their Kronrod extensions. (English) Zbl 1204.41023 IMA J. Numer. Anal. 29, No. 3, 486-507 (2009). Reviewer: Johann Brauchart (Graz) MSC: 41A55 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Mastroianni, Giuseppe; Milovanović, Gradimir V. Interpolation processes. Basic theory and applications. (English) Zbl 1154.41001 Springer Monographs in Mathematics. Berlin: Springer (ISBN 978-3-540-68346-9/hbk). xiv, 444 p. (2008). Reviewer: Ioan Raşa (Cluj-Napoca) MSC: 41-01 33-01 33-XX 41-XX 42Axx 45A05 45B05 45H05 65B10 65Dxx × Cite Format Result Cite Review PDF Full Text: DOI
Milovanovic, Gradimir V.; Spalevic, Miodrag M.; Pranic, Miroslav S. Maximum of the modulus of kernels in Gauss-Turán quadratures. (English) Zbl 1149.41011 Math. Comput. 77, No. 262, 985-994 (2008). MSC: 41A55 65D30 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V.; Cvetković, Aleksandar S. Logarithmic modification of the Jacobi weight function. (English) Zbl 1174.65008 Stud. Univ. Babeș-Bolyai, Math. 52, No. 4, 143-154 (2007). Reviewer: Josef Kofron (Praha 8) MSC: 65D32 41A55 × Cite Format Result Cite Review PDF
Milovanović, Gradimir V.; Spalević, Miodrag M. A note on the bounds of the error of Gauss–Turán-type quadratures. (English) Zbl 1105.41025 J. Comput. Appl. Math. 200, No. 1, 276-282 (2007). MSC: 41A55 65D30 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, G. V.; Cvetković, A. S.; Matejić, M. M. Remark on orthogonal polynomials induced by the modified Chebyshev measure of the second kind. (English) Zbl 1274.33013 Facta Univ., Ser. Math. Inf. 21, 13-21 (2006). MSC: 33C45 33C47 × Cite Format Result Cite Review PDF
Milovanović, Gradimir V.; Spalević, Miodrag M. Gauss-Tur’an quadratures of Kronrod type for generalized Chebyshev weight functions. (English) Zbl 1137.65014 Calcolo 43, No. 3, 171-195 (2006). Reviewer: Jesus Illán González (Vigo) MSC: 65D30 65D32 41A55 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, G. V.; Spalević, M. M.; Galjak, Lj. Kronrod extensions of Gaussian quadratures with multiple nodes. (English) Zbl 1098.41030 Comput. Methods Appl. Math. 6, No. 3, 291-305 (2006). MSC: 41A55 65D32 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Milovanović, Gradimir V.; Cvetković, Aleksandar S. Gauss-Radau and Gauss-Lobatto interval quadrature rules for Jacobi weight function. (English) Zbl 1114.65030 Numer. Math. 102, No. 3, 523-542 (2006). Reviewer: Vladimir N. Karpushkin (Moskva) MSC: 65D32 41A55 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, G. V.; Cvetković, A. S. Orthogonal polynomials related to the oscillatory-Chebyshev weight function. (English) Zbl 1249.30010 Bull., Cl. Sci. Math. Nat., Sci. Math. 131, No. 30, 47-60 (2005). Reviewer: Miodrag Spalević (Beograd) MSC: 30C10 33C47 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V.; Spalević, Miodrag M.; Pranić, Miroslav S. On maximum of the modulus of kernels in Gauss-Turán quadratures with Chebyshev weights: the cases \(S=1,2\). (English) Zbl 1119.41026 Facta Univ., Ser. Math. Inf. 20, 123-128 (2005). Reviewer: Boško Jovanović (Beograd) MSC: 41A55 41A80 × Cite Format Result Cite Review PDF
Milovanović, G. V.; Spalević, M. M. An Error expansion for some Gauss-Turán quadratures and \(L^1\)-estimates of the remainder term. (English) Zbl 1082.41022 BIT 45, No. 1, 117-136 (2005). Reviewer: Pablo Gonzalez-Vera (La Laguna) MSC: 41A55 65D30 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V.; Cvetković, Aleksandar S. Uniqueness and computation of Gaussian interval quadrature formula for Jacobi weight function. (English) Zbl 1063.65022 Numer. Math. 99, No. 1, 141-162 (2004). Reviewer: Dan Bārbosu (Baia Mare) MSC: 65D32 41A55 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V.; Spalević, Miodrag M. Error analysis in some Gauss-Turán-Radau and Gauss-Turán-Lobatto quadratures for analytic functions. (English) Zbl 1038.41012 J. Comput. Appl. Math. 164-165, 569-586 (2004). MSC: 41A55 65D30 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanonić, G. V.; Spalević, M. M. An error expansion for Gauss-Turán quadrature with Chebyshev weight function. (English) Zbl 1051.65016 Trîmbiţaş, Radu T. (ed.), Proceedings of the international symposium on numerical analysis and approximation theory, Cluj-Napoca, Romania, May 9–11, 2002. Dedicated to the 75th anniversary of Professor Dr. Dimitrie D. Stancu, honorary member of the Romanian Academy. Cluj-Napoca: Cluj University Press (ISBN 973-610-166-5/pbk). 336-353 (2002). MSC: 65D32 41A55 41A80 × Cite Format Result Cite Review PDF
Mastroianni, Giuseppe; Milovanović, Gradimir V. Weighted integration of periodic functions on the real line. (English) Zbl 1072.65033 Appl. Math. Comput. 128, No. 2-3, 365-378 (2002). Reviewer: Feng Qi (Jiaozu) MSC: 65D32 41A55 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V. Orthogonal polynomials on the radial rays in the complex plane and applications. (English) Zbl 1019.33005 Proceedings of the fourth international conference on functional analysis and approximation theory, Acquafredda di Maratea (Potenza), Italy, September 22-28, 2000. Vol. I. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 68(1), 65-94 (2002). Reviewer: Per W.Karlsson (Lyngby) MSC: 33C45 33C47 78A30 × Cite Format Result Cite Review PDF
Milovanović, V. Gradimir; Tošić, Dj. Dobrilo An extremal problem for the length of algebraic polynomials. (English) Zbl 0947.41005 Publ. Elektroteh. Fak., Univ. Beogr., Ser. Mat. 10, 31-36 (1999). Reviewer: Predrag Rajković (NiŠ) MSC: 41A10 33C45 × Cite Format Result Cite Review PDF
Milovanović, G. V. Expansions of the Kurepa function. (English) Zbl 0853.33002 Publ. Inst. Math., Nouv. Sér. 57(71), 81-90 (1995). MSC: 33B15 65D20 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Milovanović, G. V.; Milovanović, I. Ž.; Marinković, L. Z. Extremal problems for polynomials and their coefficients. (English) Zbl 0857.26004 Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 435-455 (1993). MSC: 26C05 30C10 41A17 26C10 30D15 × Cite Format Result Cite Review PDF
Milovanović, G. V.; Mitrinović, D. S.; Rassias, Th. M. On some Turán’s extremal problems for algebraic polynomials. (English) Zbl 0857.26003 Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 403-433 (1993). MSC: 26C05 30C10 41A17 × Cite Format Result Cite Review PDF
Gori, Laura; Lo Cascio, M. L.; Milovanović, G. V. The \(\sigma\)-orthogonal polynomials: A method of construction. (English) Zbl 0831.65017 Brezinski, Claude (ed.) et al., Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Basel: J. C. Baltzer, IMACS Ann. Comput. Appl. Math. 9, 281-285 (1991). MSC: 65D20 65D32 41A55 42C05 × Cite Format Result Cite Review PDF
Milovanović, Gradimir V.; Marinković, Lidija Z. Extremal problems for coefficients of algebraic polynomials. (English) Zbl 0764.26009 Facta Univ., Ser. Math. Inf. 5, 25-36 (1990). MSC: 26C05 33C45 26D05 × Cite Format Result Cite Review PDF
Milovanović, Gradimir V. Construction of s-orthogonal polynomials and Turán quadrature formulae. (English) Zbl 0643.65011 Numerical methods and approximation theory III, 3rd Conf., Niš/Yugosl. 1987 (1988), 311-328 (1988). MSC: 65D32 65D20 33C45 41A55 × Cite Format Result Cite Review PDF
Milovanovich, G. V.; Milovanovich, I. Zh. Some properties of convex sequences and their applications. (English. Russian original) Zbl 0596.26011 Sov. Math. 29, No. 12, 38-43 (1985); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1985, No. 12(283), 28-33 (1985). Reviewer: J.E.Pečarić MSC: 26D15 26A51 × Cite Format Result Cite Review PDF
Milovanović, Gradimir V.; Wrigge, Staffan On the least squares approximation with constraints. (English) Zbl 0558.65005 Applied mathematics, 4th Conf., Split/Yugosl. 1984, 103-108 (1985). MSC: 65D15 41A29 × Cite Format Result Cite Review PDF
Milovanovic, Gradimir V.; Milovanovic, Igor Z. Some results for convex sequences of order k. (English) Zbl 0527.26009 Math., Rev. Anal. Numér. Théor. Approximation, Anal. Numér. Théor. Approximation 12, 77-81 (1983). MSC: 26D15 26A51 × Cite Format Result Cite Review PDF
Milovanović, Gradimir V.; Milovanović, Igor Ž. A generalization of Chebyshev inequality for convex sequences of order k. (English) Zbl 0552.26011 Publ. Elektroteh. Fak., Univ. Beogr., Ser. Mat. Fiz. 735-762, 28-31 (1982). Reviewer: I.Raşa MSC: 26D15 26A51 × Cite Format Result Cite Review PDF