Milovanović, Gradimir V.; Stanić, Marija P.; Tomović Mladenović, Tatjana V. Gaussian type quadrature rules related to the oscillatory modification of the generalized Laguerre weight functions. (English) Zbl 1522.65033 J. Comput. Appl. Math. 437, Article ID 115476, 8 p. (2024). MSC: 65D30 65D32 41A55 42C05 33C47 PDFBibTeX XMLCite \textit{G. V. Milovanović} et al., J. Comput. Appl. Math. 437, Article ID 115476, 8 p. (2024; Zbl 1522.65033) Full Text: DOI
Milovanović, Gradimir V. Symbolic computation of recurrence coefficients for polynomials orthogonal with respect to the Szegő-Bernstein weights. (English) Zbl 07723680 Math. Found. Comput. 6, No. 3, 460-473 (2023). MSC: 33F10 33C45 PDFBibTeX XMLCite \textit{G. V. Milovanović}, Math. Found. Comput. 6, No. 3, 460--473 (2023; Zbl 07723680) Full Text: DOI
Golubović, Zora Lj.; Milovanović, Gradimir V. Quadrature processes for efficient calculation of the Clausen functions. (English) Zbl 1516.65016 BIT 63, No. 1, Paper No. 10, 20 p. (2023). MSC: 65D30 65D32 41A55 33C45 PDFBibTeX XMLCite \textit{Z. Lj. Golubović} and \textit{G. V. Milovanović}, BIT 63, No. 1, Paper No. 10, 20 p. (2023; Zbl 1516.65016) Full Text: DOI
Milovanović, Gradimir V.; Masjed-Jamei, Mohammad; Moalemi, Zahra Weighted nonstandard quadrature formulas based on values of linear differential operators. (English) Zbl 1490.65040 J. Comput. Appl. Math. 409, Article ID 114162, 17 p. (2022). Reviewer: Adhemar Bultheel (Leuven) MSC: 65D32 65D30 41A55 33C45 PDFBibTeX XMLCite \textit{G. V. Milovanović} et al., J. Comput. Appl. Math. 409, Article ID 114162, 17 p. (2022; Zbl 1490.65040) 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 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{G. V. Milovanović}, Numer. Algorithms 88, No. 3, 1233--1249 (2021; Zbl 1486.33015) Full Text: DOI
Mastroianni, Giuseppe; Notarangelo, Incoronata Polynomial approximation with Pollaczek-type weights. A survey. (English) Zbl 1435.41037 Appl. Numer. Math. 149, 83-98 (2020). MSC: 41A81 41A05 41A10 PDFBibTeX XMLCite \textit{G. Mastroianni} and \textit{I. Notarangelo}, Appl. Numer. Math. 149, 83--98 (2020; Zbl 1435.41037) 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 PDFBibTeX XMLCite \textit{G. V. Milovanović}, Bull., Cl. Sci. Math. Nat., Sci. Math. 44, 1--28 (2019; Zbl 1469.30011) Full Text: Link
Milovanović, Gradimir V. An efficient computation of parameters in the Rys quadrature formula. (English) Zbl 1469.65068 Bull., Cl. Sci. Math. Nat., Sci. Math. 43, 39-64 (2018). MSC: 65D32 65D30 41A55 33C45 PDFBibTeX XMLCite \textit{G. V. Milovanović}, Bull., Cl. Sci. Math. Nat., Sci. Math. 43, 39--64 (2018; Zbl 1469.65068) Full Text: Link
Occorsio, Donatella; Russo, Maria Grazia Nyström methods for bivariate Fredholm integral equations on unbounded domains. (English) Zbl 1426.65217 Appl. Math. Comput. 318, 19-34 (2018). MSC: 65R20 45B05 65D32 41A55 PDFBibTeX XMLCite \textit{D. Occorsio} and \textit{M. G. Russo}, Appl. Math. Comput. 318, 19--34 (2018; Zbl 1426.65217) Full Text: DOI
Gautschi, Walter; Milovanović, Gradimir V. Binet-type polynomials and their zeros. (English) Zbl 1406.33010 ETNA, Electron. Trans. Numer. Anal. 50, 52-70 (2018). MSC: 33C47 65D20 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{G. V. Milovanović}, ETNA, Electron. Trans. Numer. Anal. 50, 52--70 (2018; Zbl 1406.33010) Full Text: DOI Link
Mastroianni, Giuseppe; Milovanović, Gradimir V.; Notarangelo, Incoronata Polynomial approximation with Pollaczeck-Laguerre weights on the real semiaxis. A survey. (English) Zbl 1406.41002 ETNA, Electron. Trans. Numer. Anal. 50, 36-51 (2018). MSC: 41A10 41A05 41A25 65D05 65D32 PDFBibTeX XMLCite \textit{G. Mastroianni} et al., ETNA, Electron. Trans. Numer. Anal. 50, 36--51 (2018; Zbl 1406.41002) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{A. S. Cvetković} et al., Result. Math. 73, No. 1, Paper No. 16, 19 p. (2018; Zbl 1390.33020) Full Text: DOI
Occorsio, Donatella; Russo, Maria Grazia A new quadrature scheme based on an extended Lagrange interpolation process. (English) Zbl 1377.65034 Appl. Numer. Math. 124, 57-75 (2018). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{D. Occorsio} and \textit{M. G. Russo}, Appl. Numer. Math. 124, 57--75 (2018; Zbl 1377.65034) Full Text: DOI
Masjed-Jamei, Mohammad; Milovanović, Gradimir V. Construction of Gaussian quadrature formulas for even weight functions. (English) Zbl 1499.65078 Appl. Anal. Discrete Math. 11, No. 1, 177-198 (2017). MSC: 65D30 41A55 65D32 PDFBibTeX XMLCite \textit{M. Masjed-Jamei} and \textit{G. V. Milovanović}, Appl. Anal. Discrete Math. 11, No. 1, 177--198 (2017; Zbl 1499.65078) Full Text: DOI
Esmaeili, Shahrokh Numerical solution of gas solution in a fluid: fractional derivative model. (English) Zbl 1408.35147 Iran. J. Math. Chem. 8, No. 4, 425-437 (2017). MSC: 35Q35 35R11 76N15 65M70 42C10 65D32 76R50 PDFBibTeX XMLCite \textit{S. Esmaeili}, Iran. J. Math. Chem. 8, No. 4, 425--437 (2017; Zbl 1408.35147) Full Text: DOI
Milovanović, Gradimir V. Symbolic-numeric computation of orthogonal polynomials and Gaussian quadratures with respect to the cardinal \(B\)-spline. (English) Zbl 1407.42016 Numer. Algorithms 76, No. 2, 333-347 (2017). MSC: 42C05 41A55 41A15 65D30 65D32 PDFBibTeX XMLCite \textit{G. V. Milovanović}, Numer. Algorithms 76, No. 2, 333--347 (2017; Zbl 1407.42016) Full Text: DOI
De Bonis, Maria Carmela; Occorsio, Donatella Approximation of Hilbert and Hadamard transforms on \((0,+\infty)\). (English) Zbl 1372.65333 Appl. Numer. Math. 116, 184-194 (2017). MSC: 65R10 44A15 PDFBibTeX XMLCite \textit{M. C. De Bonis} and \textit{D. Occorsio}, Appl. Numer. Math. 116, 184--194 (2017; Zbl 1372.65333) Full Text: DOI
Milovanović, Gradimir V. Summation formulas of Euler-Maclaurin and Abel-Plana: old and new results and applications. (English) Zbl 1369.65005 Govil, Narenda Kumar (ed.) et al., Progress in approximation theory and applicable complex analysis. In memory of Q.I. Rahman. Cham: Springer (ISBN 978-3-319-49240-7/hbk; 978-3-319-49242-1/ebook). Springer Optimization and Its Applications 117, 429-461 (2017). MSC: 65B15 33C45 33C47 41A55 65-04 65D30 65D32 PDFBibTeX XMLCite \textit{G. V. Milovanović}, Springer Optim. Appl. 117, 429--461 (2017; Zbl 1369.65005) Full Text: DOI
Mastroianni, Giuseppe; Milovanović, Gradimir V.; Notarangelo, Incoronata A Nyström method for a class of Fredholm integral equations on the real semiaxis. (English) Zbl 1365.65285 Calcolo 54, No. 2, 567-585 (2017). MSC: 65R20 41A10 45B05 PDFBibTeX XMLCite \textit{G. Mastroianni} et al., Calcolo 54, No. 2, 567--585 (2017; Zbl 1365.65285) Full Text: DOI
Milovanović, Gradimir V.; Stanić, Marija P. Quadrature rules with multiple nodes. (English) Zbl 1369.65041 Rassias, Themistocles M. (ed.) et al., Mathematical analysis, approximation theory and their applications. Cham: Springer (ISBN 978-3-319-31279-8/hbk; 978-3-319-31281-1/ebook). Springer Optimization and Its Applications 111, 435-462 (2016). MSC: 65D32 PDFBibTeX XMLCite \textit{G. V. Milovanović} and \textit{M. P. Stanić}, Springer Optim. Appl. 111, 435--462 (2016; Zbl 1369.65041) Full Text: DOI
Mastroianni, Giuseppe; Notarangelo, Incoronata; Pastore, Pietro Lagrange-Hermite interpolation on the real semiaxis. (English) Zbl 1339.41003 Calcolo 53, No. 2, 235-261 (2016). MSC: 41A05 41A10 PDFBibTeX XMLCite \textit{G. Mastroianni} et al., Calcolo 53, No. 2, 235--261 (2016; Zbl 1339.41003) 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 PDFBibTeX XMLCite \textit{A. S. Cvetković} et al., Result. Math. 69, No. 3--4, 443--455 (2016; Zbl 1339.33013) Full Text: DOI
Milovanović, Gradimir V.; Igić, Tomislav S.; Turnić, Dragana Generalized quadrature rules of Gaussian type for numerical evaluation of singular integrals. (English) Zbl 1303.41015 J. Comput. Appl. Math. 278, 306-325 (2015). MSC: 41A55 65D30 65D32 33C45 PDFBibTeX XMLCite \textit{G. V. Milovanović} et al., J. Comput. Appl. Math. 278, 306--325 (2015; Zbl 1303.41015) Full Text: DOI
Rapaić, Milan R.; Šekara, Tomislav B.; Govedarica, Vidan A novel class of fractionally orthogonal quasi-polynomials and new fractional quadrature formulas. (English) Zbl 1335.41006 Appl. Math. Comput. 245, 206-219 (2014). MSC: 41A55 65D30 33C45 26A33 PDFBibTeX XMLCite \textit{M. R. Rapaić} et al., Appl. Math. Comput. 245, 206--219 (2014; Zbl 1335.41006) Full Text: DOI
Esmaeili, Shahrokh; Milovanović, Gradimir Nonstandard Gauss-Lobatto quadrature approximation to fractional derivatives. (English) Zbl 1314.65037 Fract. Calc. Appl. Anal. 17, No. 4, 1075-1099 (2014). MSC: 65D30 33C45 41A55 65D32 26A33 PDFBibTeX XMLCite \textit{S. Esmaeili} and \textit{G. Milovanović}, Fract. Calc. Appl. Anal. 17, No. 4, 1075--1099 (2014; Zbl 1314.65037) Full Text: DOI
Milovanović, Gradimir V.; Spalević, Miodrag M. Kronrod extensions with multiple nodes of quadrature formulas for Fourier coefficients. (English) Zbl 1350.41034 Math. Comput. 83, No. 287, 1207-1231 (2014). Reviewer: Liu Zheng (Anshan) MSC: 41A55 65D30 65D32 PDFBibTeX XMLCite \textit{G. V. Milovanović} and \textit{M. M. Spalević}, Math. Comput. 83, No. 287, 1207--1231 (2014; Zbl 1350.41034) Full Text: DOI
Milovanović, G. V. Families of Euler-Maclaurin formulae for composite Gauss-Legendre and Lobatto quadratures. (English) Zbl 1299.65002 Bull., Cl. Sci. Math. Nat., Sci. Math. 145, No. 38, 63-81 (2013). MSC: 65B15 65D32 41A55 68W30 PDFBibTeX XMLCite \textit{G. V. Milovanović}, Bull., Cl. Sci. Math. Nat., Sci. Math. 145, No. 38, 63--81 (2013; Zbl 1299.65002)
Milovanović, Gradimir V.; Cvetković, Aleksandar S. Special classes of orthogonal polynomials and corresponding quadratures of Gaussian type. (English) Zbl 1272.33013 Math. Balk., New Ser. 26, No. 1-2, 169-184 (2012). MSC: 33C47 42C05 41A55 65D30 65D32 PDFBibTeX XMLCite \textit{G. V. Milovanović} and \textit{A. S. Cvetković}, Math. Balk., New Ser. 26, No. 1--2, 169--184 (2012; Zbl 1272.33013)
Occorsio, Donatella A method to evaluate the Hilbert transform on (\(0, +\infty \)). (English) Zbl 1209.65139 Appl. Math. Comput. 217, No. 12, 5667-5679 (2011). MSC: 65R10 PDFBibTeX XMLCite \textit{D. Occorsio}, Appl. Math. Comput. 217, No. 12, 5667--5679 (2011; Zbl 1209.65139) Full Text: DOI
Mastroianni, G.; Occorsio, D. Some quadrature formulae with nonstandard weights. (English) Zbl 1210.41008 J. Comput. Appl. Math. 235, No. 3, 602-614 (2010). Reviewer: Jesus Illán González (Vigo) MSC: 41A55 65D32 41A10 PDFBibTeX XMLCite \textit{G. Mastroianni} and \textit{D. Occorsio}, J. Comput. Appl. Math. 235, No. 3, 602--614 (2010; Zbl 1210.41008) Full Text: DOI
Mastroianni, G.; Notarangelo, I. A Lagrange-type projector on the real line. (English) Zbl 1196.41004 Math. Comput. 79, No. 269, 327-352 (2010). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 65D05 65D30 65D32 41A10 PDFBibTeX XMLCite \textit{G. Mastroianni} and \textit{I. Notarangelo}, Math. Comput. 79, No. 269, 327--352 (2010; Zbl 1196.41004) Full Text: DOI
Gautschi, Walter Variable-precision recurrence coefficients for nonstandard orthogonal polynomials. (English) Zbl 1178.65026 Numer. Algorithms 52, No. 3, 409-418 (2009). MSC: 65D20 33-04 33C47 65Y15 33F05 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 52, No. 3, 409--418 (2009; Zbl 1178.65026) Full Text: DOI
Milovanović, Gradimir V.; Cvetković, Aleksandar S.; Stanić, Marija P. Orthogonal polynomials for modified Gegenbauer weight and corresponding quadratures. (English) Zbl 1173.42319 Appl. Math. Lett. 22, No. 8, 1189-1194 (2009). MSC: 42C05 PDFBibTeX XMLCite \textit{G. V. Milovanović} et al., Appl. Math. Lett. 22, No. 8, 1189--1194 (2009; Zbl 1173.42319) Full Text: DOI
Occorsio, D. Extended Lagrange interpolation in weighted uniform norm. (English) Zbl 1173.41302 Appl. Math. Comput. 211, No. 1, 10-22 (2009). Reviewer: Antonio López-Carmona (Granada) MSC: 41A05 65D05 PDFBibTeX XMLCite \textit{D. Occorsio}, Appl. Math. Comput. 211, No. 1, 10--22 (2009; Zbl 1173.41302) Full Text: DOI
Milovanović, Gradimir V.; Cvetković, Aleksandar S.; Stanić, Marija P. Explicit formulas for five-term recurrence coefficients of orthogonal trigonometric polynomials of semi-integer degree. (English) Zbl 1139.42006 Appl. Math. Comput. 198, No. 2, 559-573 (2008). Reviewer: Stamatis Koumandos (Nicosia) MSC: 42C05 42A05 42A10 41A55 33C47 PDFBibTeX XMLCite \textit{G. V. Milovanović} et al., Appl. Math. Comput. 198, No. 2, 559--573 (2008; Zbl 1139.42006) Full Text: DOI
Milovanović, Gradimir V.; Cvetković, Aleksandar S. Orthogonal polynomials and Gaussian quadrature rules related to oscillatory weight functions. (English) Zbl 1074.41026 J. Comput. Appl. Math. 179, No. 1-2, 263-287 (2005). Reviewer: Pablo Gonzalez-Vera (La Laguna) MSC: 41A55 42C05 PDFBibTeX XMLCite \textit{G. V. Milovanović} and \textit{A. S. Cvetković}, J. Comput. Appl. Math. 179, No. 1--2, 263--287 (2005; Zbl 1074.41026) Full Text: DOI
Cvetković, Aleksandar S.; Milovanović, Gradimir V. The Mathematica package ”OrthogonalPolynomials”. (English) Zbl 1081.33001 Facta Univ., Ser. Math. Inf. 19, 17-36 (2004). Reviewer: Miodrag Spalević (Kragujevac) MSC: 33F10 33-04 33C45 65D30 65D32 PDFBibTeX XMLCite \textit{A. S. Cvetković} and \textit{G. V. Milovanović}, Facta Univ., Ser. Math. Inf. 19, 17--36 (2004; Zbl 1081.33001)
Milovanović, G. V.; Spalević, M. M.; Cvetković, A. S. Calculation of Gaussian-type quadratures with multiple nodes. (English) Zbl 1049.65019 Math. Comput. Modelling 39, No. 2-3, 325-347 (2004). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{G. V. Milovanović} et al., Math. Comput. Modelling 39, No. 2--3, 325--347 (2004; Zbl 1049.65019) Full Text: DOI
Koepf, Wolfram Identities for families of orthogonal polynomials and special functions. (English) Zbl 0895.33002 Integral Transforms Spec. Funct. 5, No. 1-2, 69-102 (1997). Reviewer: W.Van Assche (Heverlee) MSC: 33C45 PDFBibTeX XMLCite \textit{W. Koepf}, Integral Transforms Spec. Funct. 5, No. 1--2, 69--102 (1997; Zbl 0895.33002) Full Text: DOI