Peherstorfer, Franz Orthogonal polynomials on several intervals: accumulation points of recurrence coefficients and of zeros. (English) Zbl 1225.33010 J. Approx. Theory 163, No. 7, 814-837 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 42C05 41A50 PDFBibTeX XMLCite \textit{F. Peherstorfer}, J. Approx. Theory 163, No. 7, 814--837 (2011; Zbl 1225.33010) Full Text: DOI arXiv
Peherstorfer, Franz Positive trigonometric quadrature formulas and quadrature on the unit circle. (English) Zbl 1221.42003 Math. Comput. 80, No. 275, 1685-1701 (2011). Reviewer: Manfred Tasche (Rostock) MSC: 42A15 41A55 42C05 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Math. Comput. 80, No. 275, 1685--1701 (2011; Zbl 1221.42003) Full Text: DOI arXiv
Moale, Ionela; Peherstorfer, Franz Explicit min-max polynomials on the disc. (English) Zbl 1226.41002 J. Approx. Theory 163, No. 6, 707-723 (2011). Reviewer: Jesus Illán González (Vigo) MSC: 41A10 42C05 30E10 PDFBibTeX XMLCite \textit{I. Moale} and \textit{F. Peherstorfer}, J. Approx. Theory 163, No. 6, 707--723 (2011; Zbl 1226.41002) Full Text: DOI
Golinskii, L.; Kheifets, A.; Peherstorfer, F.; Yuditskii, P. On a class of Verblunsky parameters that corresponds to Guseinov’s class of Jacobi parameters. (English) Zbl 1218.47049 J. Math. Phys. Anal. Geom. 6, No. 3, 277-290 (2010). Reviewer: Aleksey Kostenko (Donetsk) MSC: 47B36 42C05 PDFBibTeX XMLCite \textit{L. Golinskii} et al., J. Math. Phys. Anal. Geom. 6, No. 3, 277--290 (2010; Zbl 1218.47049)
Peherstorfer, Franz Gauss-Turán quadrature formulas: Asymptotics of weights. (English) Zbl 1204.65028 SIAM J. Numer. Anal. 47, No. 4, 2638-2659 (2009). Reviewer: Dumitru Acu (Sibiu) MSC: 65D32 41A55 42C05 PDFBibTeX XMLCite \textit{F. Peherstorfer}, SIAM J. Numer. Anal. 47, No. 4, 2638--2659 (2009; Zbl 1204.65028) Full Text: DOI
Peherstorfer, Franz Interlacing and spacing properties of zeros of polynomials, in particular of orthogonal and \(L_q\)-minimal polynomials, \(q\in [1,\infty ]\). (English) Zbl 1204.42041 J. Approx. Theory 160, No. 1-2, 171-186 (2009). Reviewer: Borislav Crstici (Timişoara) MSC: 42C05 41A10 41A50 PDFBibTeX XMLCite \textit{F. Peherstorfer}, J. Approx. Theory 160, No. 1--2, 171--186 (2009; Zbl 1204.42041) Full Text: DOI
Peherstorfer, Franz; Steinbauer, Robert Note on “Rational compacts and exposed quadratic irrationalities” by Sergey Khrushchev. (English) Zbl 1239.42028 J. Approx. Theory 159, No. 2, 290-292 (2009). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 30C85 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{R. Steinbauer}, J. Approx. Theory 159, No. 2, 290--292 (2009; Zbl 1239.42028) Full Text: DOI
Peherstorfer, Franz Extremal problems of Chebyshev type. (English) Zbl 1179.41018 Proc. Am. Math. Soc. 137, No. 7, 2351-2361 (2009). Reviewer: Sergey S. Volosivets (Saratov) MSC: 41A29 33C45 41A60 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Proc. Am. Math. Soc. 137, No. 7, 2351--2361 (2009; Zbl 1179.41018) Full Text: DOI
Peherstorfer, Franz Positive quadrature formulas. III: Asymptotics of weights. (English) Zbl 1198.65051 Math. Comput. 77, No. 264, 2241-2259 (2008). MSC: 65D32 42C05 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Math. Comput. 77, No. 264, 2241--2259 (2008; Zbl 1198.65051) Full Text: DOI
Kroó, András; Peherstorfer, Franz Asymptotic representation of weighted \(L_{\infty }\)- and \(L_{1}\)-minimal polynomials. (English) Zbl 1160.33007 Math. Proc. Camb. Philos. Soc. 144, No. 1, 241-254 (2008). Reviewer: José L. Lopez (Pamplona) MSC: 33C45 PDFBibTeX XMLCite \textit{A. Kroó} and \textit{F. Peherstorfer}, Math. Proc. Camb. Philos. Soc. 144, No. 1, 241--254 (2008; Zbl 1160.33007) Full Text: DOI
La Calle Ysern, B. De; Peherstorfer, F. Ultraspherical Stieltjes polynomials and Gauss-Kronrod quadrature behave nicely for \(\lambda< 0\). (English) Zbl 1141.33003 SIAM J. Numer. Anal. 45, No. 2, 770-786 (2007). Reviewer: Leonid Golinskii (Kharkov) MSC: 33C45 42C05 65D32 PDFBibTeX XMLCite \textit{B. De La Calle Ysern} and \textit{F. Peherstorfer}, SIAM J. Numer. Anal. 45, No. 2, 770--786 (2007; Zbl 1141.33003) Full Text: DOI
Peherstorfer, F.; Spiridonov, V. P.; Zhedanov, A. S. Toda chain, Stieltjes function, and orthogonal polynomials. (English. Russian original) Zbl 1121.37054 Theor. Math. Phys. 151, No. 1, 505-528 (2007); translation from Teor. Mat. Fiz. 151, No. 1, 81-108 (2007). MSC: 37K10 37J35 33C45 37K15 37K60 42C05 81R12 PDFBibTeX XMLCite \textit{F. Peherstorfer} et al., Theor. Math. Phys. 151, No. 1, 505--528 (2007; Zbl 1121.37054); translation from Teor. Mat. Fiz. 151, No. 1, 81--108 (2007) Full Text: DOI
Kroo, Andras; Peherstorfer, Franz Asymptotic representation of \(L_{p}\)-minimal polynomials, \(1 < p < \infty\). (English) Zbl 1103.41006 Constructive Approximation 25, No. 1, 29-39 (2007). Reviewer: Francisco Perez Acosta (La Laguna) MSC: 41A10 41A60 42C05 PDFBibTeX XMLCite \textit{A. Kroo} and \textit{F. Peherstorfer}, Constr. Approx. 25, No. 1, 29--39 (2007; Zbl 1103.41006) Full Text: DOI
Peherstorfer, F.; Volberg, A.; Yuditskii, P. Asymptotics of orthogonal polynomials beyond the scope of Szegő’s theorem. (English. Russian original) Zbl 1116.33010 Funct. Anal. Appl. 40, No. 4, 264-272 (2006); translation from Funkts. Anal. Prilozh. 40, No. 4, 22-32 (2006). Reviewer: José L. Lopez (Pamplona) MSC: 33C45 PDFBibTeX XMLCite \textit{F. Peherstorfer} et al., Funct. Anal. Appl. 40, No. 4, 264--272 (2006; Zbl 1116.33010); translation from Funkts. Anal. Prilozh. 40, No. 4, 22--32 (2006) Full Text: DOI arXiv
Peherstorfer, F.; Yuditskii, P. Almost periodic Verblunsky coefficients and reproducing kernels on Riemann surfaces. (English) Zbl 1103.30007 J. Approximation Theory 139, No. 1-2, 91-106 (2006). Reviewer: Anatoly Filip Grishin (Khar’kov) MSC: 30C45 47A67 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{P. Yuditskii}, J. Approx. Theory 139, No. 1--2, 91--106 (2006; Zbl 1103.30007) Full Text: DOI
Nazarov, F.; Peherstorfer, F.; Volberg, A.; Yuditskii, P. On generalized sum rules for Jacobi matrices. (English) Zbl 1089.47025 Int. Math. Res. Not. 2005, No. 3, 155-186 (2005). Reviewer: Leonid Golinskii (Kharkov) MSC: 47B36 33C45 46E35 PDFBibTeX XMLCite \textit{F. Nazarov} et al., Int. Math. Res. Not. 2005, No. 3, 155--186 (2005; Zbl 1089.47025) Full Text: DOI arXiv
Lukashov, A. L.; Peherstorfer, F. Zeros of polynomials orthogonal on two arcs of the unit circle. (English) Zbl 1067.30008 J. Approximation Theory 132, No. 1, 42-71 (2005). Reviewer: Wolfram Koepf (Kassel) MSC: 30C10 PDFBibTeX XMLCite \textit{A. L. Lukashov} and \textit{F. Peherstorfer}, J. Approx. Theory 132, No. 1, 42--71 (2005; Zbl 1067.30008) Full Text: DOI
Peherstorfer, Franz On the zeros of orthogonal polynomials: the elliptic case. (English) Zbl 1056.42020 Constructive Approximation 20, No. 3, 377-397 (2004). Reviewer: Alexei Lukashov (Saratov) MSC: 42C05 33E05 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Constr. Approx. 20, No. 3, 377--397 (2004; Zbl 1056.42020) Full Text: DOI
Lukashov, A. L.; Peherstorfer, F. Automorphic orthogonal and extremal polynomials. (English) Zbl 1042.42017 Can. J. Math. 55, No. 3, 576-608 (2003). MSC: 42C05 30F35 31A15 41A21 41A50 PDFBibTeX XMLCite \textit{A. L. Lukashov} and \textit{F. Peherstorfer}, Can. J. Math. 55, No. 3, 576--608 (2003; Zbl 1042.42017) Full Text: DOI
Peherstorfer, Franz; Yuditskii, Peter Asymptotic behavior of polynomials orthonormal on a homogeneous set. (English) Zbl 1032.42028 J. Anal. Math. 89, 113-154 (2003). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 42C05 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{P. Yuditskii}, J. Anal. Math. 89, 113--154 (2003; Zbl 1032.42028) Full Text: DOI arXiv
Peherstorfer, Franz Inverse images of polynomial mappings and polynomials orthogonal on them. (English) Zbl 1034.30002 J. Comput. Appl. Math. 153, No. 1-2, 371-385 (2003). Reviewer: Wolfram Koepf (Kassel) MSC: 30C10 42C05 33C45 PDFBibTeX XMLCite \textit{F. Peherstorfer}, J. Comput. Appl. Math. 153, No. 1--2, 371--385 (2003; Zbl 1034.30002) Full Text: DOI
Peherstorfer, Franz Zeros of polynomials orthogonal on several intervals. (English) Zbl 1009.42018 Int. Math. Res. Not. 2003, No. 7, 361-385 (2003). MSC: 42C05 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Int. Math. Res. Not. 2003, No. 7, 361--385 (2003; Zbl 1009.42018) Full Text: DOI arXiv Link
Aptekarev, Alexandre I.; Draux, André; Toulyakov, Dmitrii [Peherstorfer, F.] Discrete spectra of certain co-recursive Pollaczek polynomials and its applications. (English) Zbl 1061.33005 Comput. Methods Funct. Theory 2, No. 2, 519-537 (2002). MSC: 33C45 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Comput. Methods Funct. Theory 2, No. 2, 519--537 (2002; Zbl 1061.33005) Full Text: DOI
Peherstorfer, Franz On Toda lattices and orthogonal polynomials. (English) Zbl 0989.42007 J. Comput. Appl. Math. 133, No. 1-2, 519-534 (2001). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 82B05 PDFBibTeX XMLCite \textit{F. Peherstorfer}, J. Comput. Appl. Math. 133, No. 1--2, 519--534 (2001; Zbl 0989.42007) Full Text: DOI
Peherstorfer, Franz Deformation of minimal polynomials and approximation of several intervals by an inverse polynomial mapping. (English) Zbl 1025.42014 J. Approximation Theory 111, No. 2, 180-195 (2001). MSC: 42C05 41A10 41A50 PDFBibTeX XMLCite \textit{F. Peherstorfer}, J. Approx. Theory 111, No. 2, 180--195 (2001; Zbl 1025.42014) Full Text: DOI
Peherstorfer, Franz; Yuditskii, Peter Asymptotics of orthonormal polynomials in the presence of a denumerable set of mass points. (English) Zbl 0976.42012 Proc. Am. Math. Soc. 129, No. 11, 3213-3220 (2001). Reviewer: Walter Van Assche (Leuven) MSC: 42C05 30D50 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{P. Yuditskii}, Proc. Am. Math. Soc. 129, No. 11, 3213--3220 (2001; Zbl 0976.42012) Full Text: DOI
Peherstorfer, Franz; Steinbauer, Robert Orthogonal and \(L_q\)-extremal polynomials on inverse images of polynomial mappings. (English) Zbl 1009.42017 J. Comput. Appl. Math. 127, No. 1-2, 297-315 (2001). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{R. Steinbauer}, J. Comput. Appl. Math. 127, No. 1--2, 297--315 (2001; Zbl 1009.42017) Full Text: DOI
Peherstorfer, Franz; Steinbauer, Robert Strong asymptotics of orthonormal polynomials with the aid of Green’s function. (English) Zbl 0970.42017 SIAM J. Math. Anal. 32, No. 2, 385-402 (2000). Reviewer: Roelof Koekoek (Delft) MSC: 42C05 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{R. Steinbauer}, SIAM J. Math. Anal. 32, No. 2, 385--402 (2000; Zbl 0970.42017) Full Text: DOI
Peherstorfer, Franz; Steinbauer, Robert Asymptotic behaviour of orthogonal polynomials on the unit circle with asymptotically periodic reflection coefficients. II: Weak asymptotics. (English) Zbl 0971.42013 J. Approximation Theory 105, No. 1, 102-128 (2000). Reviewer: Walter Van Assche (Leuven) MSC: 42C05 30E15 30C10 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{R. Steinbauer}, J. Approx. Theory 105, No. 1, 102--128 (2000; Zbl 0971.42013) Full Text: DOI
Peherstorfer, Franz; Steinbauer, Robert Orthogonal polynomials on the circumference and arcs of the circumference. (English) Zbl 0956.42017 J. Approximation Theory 102, No. 1, 96-119 (2000). Reviewer: Alex Lukashov (Saratov) MSC: 42C05 33C47 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{R. Steinbauer}, J. Approx. Theory 102, No. 1, 96--119 (2000; Zbl 0956.42017) Full Text: DOI
Peherstorfer, Franz; Petras, Knut Ultraspherical Gauss–Kronrod quadrature is not possible for \(\lambda > 3\). (English) Zbl 0947.33003 SIAM J. Numer. Anal. 37, No. 3, 927-948 (2000). Reviewer: Som Prakash Goyal (Jaipur) MSC: 33C10 33C45 42C05 65D32 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{K. Petras}, SIAM J. Numer. Anal. 37, No. 3, 927--948 (2000; Zbl 0947.33003) Full Text: DOI
Peherstorfer, Franz; Steinbauer, Robert Mass-points of orthogonality measures on the unit circle. (English) Zbl 1084.42506 East J. Approx. 5, No. 3, 279-308 (1999). MSC: 42C05 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{R. Steinbauer}, East J. Approx. 5, No. 3, 279--308 (1999; Zbl 1084.42506)
Peherstorfer, Franz; Steinbauer, Robert Weak asymptotics of orthogonal polynomials on the support of the measure of orthogonality and considerations on functions of the second kind. (English) Zbl 1023.42016 Berndt, Bruce C. (ed.) et al., Continued fractions: from analytic number theory to constructive approximation. A volume in honor of L. J. Lange. Proceedings of the conference, University of Missouri–Columbia, Columbia, MO, USA, May 20-23, 1998. Providence, RI: American Mathematical Society. Contemp. Math. 236, 277-296 (1999). MSC: 42C05 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{R. Steinbauer}, Contemp. Math. 236, 277--296 (1999; Zbl 1023.42016)
Peherstorfer, Franz; Steinbauer, Robert Transformation of polynomials orthogonal on the unit circle. (English) Zbl 0918.42014 Methods Appl. Anal. 5, No. 1, 55-80 (1998). Reviewer: R.Koekoek (Delft) MSC: 42C05 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{R. Steinbauer}, Methods Appl. Anal. 5, No. 1, 55--80 (1998; Zbl 0918.42014) Full Text: DOI
Foulquié Moreno, A.; Marcellán, F.; Peherstorfer, F.; Steinbauer, R. Strong asymptotics on the support of the measure of orthogonality for polynomials orthogonal with respect to a discrete Sobolev inner product on the unit circle. (English) Zbl 0907.42017 Proceedings of the 3rd international conference on functional analysis and approximation theory, Acquafredda di Maratea (Potenza), Italy, September 23–28, 1996. Vols. I and II. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 52, 411-425 (1998). Reviewer: M.G.de Bruin (Delft) MSC: 42C05 PDFBibTeX XMLCite \textit{A. Foulquié Moreno} et al., in: Proceedings of the 3rd international conference on functional analysis and approximation theory, Acquafredda di Maratea (Potenza), Italy, September 23--28, 1996. Vols. I and II. Palermo: Circolo Matemàtico di Palermo. 411--425 (1998; Zbl 0907.42017)
Peherstorfer, F. Convergence of Lagrange interpolation processes based on a new systems of nodes. (English) Zbl 0926.41003 Acta Math. Hung. 74, No. 1-2, 101-123 (1997). Reviewer: Luboš Pick (Praha) MSC: 41A05 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Acta Math. Hung. 74, No. 1--2, 101--123 (1997; Zbl 0926.41003) Full Text: DOI
Marcellán, Francisco; Peherstorfer, Franz; Steinbauer, Robert Orthogonality properties of linear combinations of orthogonal polynomials. II. (English) Zbl 0933.42012 Adv. Comput. Math. 7, No. 3, 401-428 (1997). MSC: 42C05 PDFBibTeX XMLCite \textit{F. Marcellán} et al., Adv. Comput. Math. 7, No. 3, 401--428 (1997; Zbl 0933.42012) Full Text: DOI
Peherstorfer, Franz; Steinbauer, Robert Asymptotic behaviour of orthogonal polynomials on the unit circle with asymptotically periodic reflection coefficients. (English) Zbl 0889.42021 J. Approximation Theory 88, No. 3, 316-353 (1997). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 30C10 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{R. Steinbauer}, J. Approx. Theory 88, No. 3, 316--353 (1997; Zbl 0889.42021) Full Text: DOI
Peherstorfer, Franz; Steinbauer, Robert Orthogonal polynomials on arcs of the unit circle. II: Orthogonal polynomials with periodic reflection coefficients. (English) Zbl 0946.42016 J. Approximation Theory 87, No. 1, 60-102 (1996). Reviewer: Leonid B.Golinskii (MR 97k:42053) MSC: 42C05 30C10 65D20 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{R. Steinbauer}, J. Approx. Theory 87, No. 1, 60--102 (1996; Zbl 0946.42016) Full Text: DOI
Marcellán, Francisco; Peherstorfer, Franz; Steinbauer, Robert Orthogonality properties of linear combinations of orthogonal polynomials. (English) Zbl 0874.42016 Adv. Comput. Math. 5, No. 4, 281-295 (1996). Reviewer: H.Stahl (Berlin) MSC: 42C05 PDFBibTeX XMLCite \textit{F. Marcellán} et al., Adv. Comput. Math. 5, No. 4, 281--295 (1996; Zbl 0874.42016) Full Text: DOI
Peherstorfer, F. A special class of polynomials orthogonal on the unit circle including the associated polynomials. (English) Zbl 0854.42021 Constructive Approximation 12, No. 2, 161-185 (1996). MSC: 42C05 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Constr. Approx. 12, No. 2, 161--185 (1996; Zbl 0854.42021) Full Text: DOI
Peherstorfer, Franz; Steinbauer, Robert Comparative asymptotics for perturbed orthogonal polynomials. (English) Zbl 0873.42015 Trans. Am. Math. Soc. 348, No. 4, 1459-1486 (1996). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{R. Steinbauer}, Trans. Am. Math. Soc. 348, No. 4, 1459--1486 (1996; Zbl 0873.42015) Full Text: DOI
Peherstorfer, Franz; Steinbauer, Robert Orthogonal polynomials on arcs of the unit circle. I. (English) Zbl 0861.42014 J. Approximation Theory 85, No. 2, 140-184 (1996). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 30C10 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{R. Steinbauer}, J. Approx. Theory 85, No. 2, 140--184 (1996; Zbl 0861.42014) Full Text: DOI
Peherstorfer, Franz; Steinbauer, Robert Characterization of orthogonal polynomials with respect to a functional. (English) Zbl 0853.42023 J. Comput. Appl. Math. 65, No. 1-3, 339-355 (1995). Reviewer: M.G.de Bruin (Delft) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{R. Steinbauer}, J. Comput. Appl. Math. 65, No. 1--3, 339--355 (1995; Zbl 0853.42023) Full Text: DOI
Peherstorfer, Franz Stieltjes polynomials and functions of the second kind. (English) Zbl 0869.33004 J. Comput. Appl. Math. 65, No. 1-3, 319-338 (1995). MSC: 33C45 42C05 65D32 PDFBibTeX XMLCite \textit{F. Peherstorfer}, J. Comput. Appl. Math. 65, No. 1--3, 319--338 (1995; Zbl 0869.33004) Full Text: DOI
Peherstorfer, Franz; Schmuckenschläger, Michael Interlacing properties of zeros of associated polynomials. (English) Zbl 0835.42012 J. Comput. Appl. Math. 59, No. 1, 61-78 (1995). Reviewer: H.-J.Glaeske (Jena) MSC: 42C05 33C45 26C10 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{M. Schmuckenschläger}, J. Comput. Appl. Math. 59, No. 1, 61--78 (1995; Zbl 0835.42012) Full Text: DOI
Peherstorfer, Franz Zeros of linear combinations of orthogonal polynomials. (English) Zbl 0827.42016 Math. Proc. Camb. Philos. Soc. 117, No. 3, 533-544 (1995). MSC: 42C05 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Math. Proc. Camb. Philos. Soc. 117, No. 3, 533--544 (1995; Zbl 0827.42016) Full Text: DOI
Peherstorfer, Franz; Steinbauer, Robert On polynomials orthogonal on several intervals. (English) Zbl 0830.42019 Ann. Numer. Math. 2, No. 1-4, 353-370 (1995). Reviewer: B.Osilenker (Moskva) MSC: 42C05 33C65 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{R. Steinbauer}, Ann. Numer. Math. 2, No. 1--4, 353--370 (1995; Zbl 0830.42019)
Peherstorfer, Franz Elliptic orthogonal and extremal polynomials. (English) Zbl 0833.42012 Proc. Lond. Math. Soc., III. Ser. 70, No. 3, 605-624 (1995). Reviewer: A.Lukashov (Saratov) MSC: 42C05 41A50 34A99 34A34 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Proc. Lond. Math. Soc. (3) 70, No. 3, 605--624 (1995; Zbl 0833.42012) Full Text: DOI
Peherstorfer, Franz Positive and orthogonal polynomials on several intervals. (English) Zbl 0827.42015 Altomare, F. (ed.) et al., Proceedings of the 2nd international conference in functional analysis and approximation theory, Acquafredda di Maratea (Potenza), September 14-19, 1992. Palermo: Circolo Matemático di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 33, 399-414 (1994). Reviewer: M.Putinar (Riverside) MSC: 42C05 33C45 26C05 44A60 PDFBibTeX XMLCite \textit{F. Peherstorfer}, in: Proceedings of the 2nd international conference in functional analysis and approximation theory, Acquafredda di Maratea (Potenza), September 14- 19, 1992. Palermo: Circolo Matemático di Palermo. 399--414 (1994; Zbl 0827.42015)
Peherstorfer, Franz Orthogonal and extremal polynomials on several intervals. (English) Zbl 0790.42012 J. Comput. Appl. Math. 48, No. 1-2, 187-205 (1993). MSC: 42C05 PDFBibTeX XMLCite \textit{F. Peherstorfer}, J. Comput. Appl. Math. 48, No. 1--2, 187--205 (1993; Zbl 0790.42012) Full Text: DOI
Peherstorfer, Franz Finite perturbations of orthogonal polynomials. (English) Zbl 0781.42021 J. Comput. Appl. Math. 44, No. 3, 275-302 (1992). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{F. Peherstorfer}, J. Comput. Appl. Math. 44, No. 3, 275--302 (1992; Zbl 0781.42021) Full Text: DOI
Peherstorfer, Franz On Bernstein-Szegö orthogonal polynomials on several intervals. II: Orthogonal polynomials with periodic recurrence coefficients. (English) Zbl 0721.42017 J. Approximation Theory 64, No. 2, 123-161 (1991). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{F. Peherstorfer}, J. Approx. Theory 64, No. 2, 123--161 (1991; Zbl 0721.42017) Full Text: DOI
Peherstorfer, F. Orthogonal- and Chebyshev polynomials on two intervals. (English) Zbl 0726.33006 Acta Math. Hung. 55, No. 3-4, 245-278 (1990). Reviewer: A.Lukashov (Saratov) MSC: 33C45 41A99 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Acta Math. Hung. 55, No. 3--4, 245--278 (1990; Zbl 0726.33006) Full Text: DOI
Peherstorfer, Franz On Stieltjes polynomials and Gauss-Kronrod quadrature. (English) Zbl 0709.65016 Math. Comput. 55, No. 192, 649-664 (1990). Reviewer: Yongsheng Sun MSC: 65D32 41A55 42C05 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Math. Comput. 55, No. 192, 649--664 (1990; Zbl 0709.65016) Full Text: DOI
Peherstorfer, Franz Linear combinations of orthogonal polynomials generating positive quadrature formulas. (English) Zbl 0708.65022 Math. Comput. 55, No. 191, 231-241 (1990). Reviewer: W.E.Smith MSC: 65D32 41A55 33C45 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Math. Comput. 55, No. 191, 231--241 (1990; Zbl 0708.65022) Full Text: DOI
Peherstorfer, Franz On Bernstein-Szegö orthogonal polynomials on several intervals. (English) Zbl 0688.42020 SIAM J. Math. Anal. 21, No. 2, 461-482 (1990). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{F. Peherstorfer}, SIAM J. Math. Anal. 21, No. 2, 461--482 (1990; Zbl 0688.42020) Full Text: DOI
Peherstorfer, Franz Orthogonal polynomials in \(L^ 1\)-approximation. (English) Zbl 0642.42023 J. Approximation Theory 52, No. 3, 241-268 (1988). Reviewer: W.Van Assche MSC: 42C05 41A10 PDFBibTeX XMLCite \textit{F. Peherstorfer}, J. Approx. Theory 52, No. 3, 241--268 (1988; Zbl 0642.42023) Full Text: DOI
Peherstorfer, Franz Extremalpolynome in der \(L^ 1\)- und \(L^ 2\)-Norm auf zwei disjunkten Intervallen. (German) Zbl 0548.41004 Approximation theory and functional analysis, Anniv. Vol., Proc. Conf., Oberwolfach 1983, ISNM 65, 269-280 (1984). MSC: 41A10 41A50 33C45 PDFBibTeX XML
Peherstorfer, Franz Characterization of positive quadrature formulas. (English) Zbl 0481.41025 SIAM J. Math. Anal. 12, 932-942 (1981). MSC: 41A55 65D32 65D30 33C45 PDFBibTeX XMLCite \textit{F. Peherstorfer}, SIAM J. Math. Anal. 12, 932--942 (1981; Zbl 0481.41025) Full Text: DOI