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
Moale, Ionela; Peherstorfer, Franz An explicit class of min-max polynomials on the ball and on the sphere. (English) Zbl 1229.41003 J. Approx. Theory 163, No. 6, 724-737 (2011). Reviewer: Jesus Illán González (Vigo) MSC: 41A10 41A50 30E10 PDFBibTeX XMLCite \textit{I. Moale} and \textit{F. Peherstorfer}, J. Approx. Theory 163, No. 6, 724--737 (2011; Zbl 1229.41003) Full Text: DOI
Peherstorfer, Franz On some classical problems concerning \(L_{\infty}\)-extremal polynomials with constraints. arXiv:1001.0469 Preprint, arXiv:1001.0469 [math.CA] (2010). BibTeX Cite \textit{F. Peherstorfer}, ``On some classical problems concerning $L_{\infty}$-extremal polynomials with constraints'', Preprint, arXiv:1001.0469 [math.CA] (2010) Full Text: arXiv OA License
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 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
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
Peherstorfer, F.; Yuditskii, P. Uniform approximation of \(\mathrm{sgn}(x)\) by rational functions with prescribed poles. (English) Zbl 1157.41302 J. Math. Phys. Anal. Geom. 3, No. 1, 95-108 (2007). MSC: 41A20 30E10 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{P. Yuditskii}, J. Math. Phys. Anal. Geom. 3, No. 1, 95--108 (2007; Zbl 1157.41302) Full Text: arXiv
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; Stroh, Christoph Julia and Mandelbrot sets of Chebyshev families. (English) Zbl 1091.37511 Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, No. 9, 2463-2481 (2001). MSC: 37F50 37F45 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{C. Stroh}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, No. 9, 2463--2481 (2001; Zbl 1091.37511) 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
Fischer, Bernd; Peherstorfer, Franz Chebyshev approximation via polynomial mappings and the convergence behaviour of Krylov subspace methods. (English) Zbl 0978.41004 ETNA, Electron. Trans. Numer. Anal. 12, 205-215 (2001). Reviewer: Adhemar Bultheel (Leuven) MSC: 41A10 30E10 65F10 PDFBibTeX XMLCite \textit{B. Fischer} and \textit{F. Peherstorfer}, ETNA, Electron. Trans. Numer. Anal. 12, 205--215 (2001; Zbl 0978.41004) Full Text: EuDML EMIS
Peherstorfer, F.; Schiefermayr, K. Description of extremal polynomials on several intervals and their computation. II. (English) Zbl 0927.41016 Acta Math. Hung. 83, No. 1-2, 59-83 (1999). Reviewer: Alex Lukashov (Saratov) MSC: 41A50 65D99 65F10 41A29 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{K. Schiefermayr}, Acta Math. Hung. 83, No. 1--2, 59--83 (1999; Zbl 0927.41016) Full Text: DOI
Peherstorfer, F.; Schiefermayr, K. Description of extremal polynomials on several intervals and their computation. I. (English) Zbl 0927.41015 Acta Math. Hung. 83, No. 1-2, 27-58 (1999). Reviewer: Alex Lukashov (Saratov) MSC: 41A50 65F10 65D99 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{K. Schiefermayr}, Acta Math. Hung. 83, No. 1--2, 27--58 (1999; Zbl 0927.41015) Full Text: DOI
Peherstorfer, F.; Schiefermayr, K. Explicit generalized Zolotarev polynomials. II. (English) Zbl 0913.30025 East J. Approx. 3, No. 4, 473-483 (1997). Reviewer: P.Petrov (Sofia) MSC: 30E10 41A10 42A10 41A50 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{K. Schiefermayr}, East J. Approx. 3, No. 4, 473--483 (1997; Zbl 0913.30025)
Peherstorfer, Franz Minimal polynomials on several intervals with respect to the maximum norm. A survey. (English) Zbl 0904.41018 Martínez Finkelshtein, Andrei (ed.) et al., Complex methods in approximation theory. Proceedings of the workshop, University of Almería, Spain, June 5–8, 1995. Almería: Univ. de Almería, Servicio de Publicaciones, Monografías Ciencia y Tecnología. 2, 167-159 (1997). Reviewer: K.Menke (Dortmund) MSC: 41A50 41A60 41A10 30E10 PDFBibTeX XMLCite \textit{F. Peherstorfer}, in: Complex methods in approximation theory. Proceedings of the workshop, University of Almería, Spain, June 5--8, 1995. Almería: Univ. de Almería, Servicio de Publicaciones. 167--159 (1997; Zbl 0904.41018)
Peherstorfer, F. Explicit generalized Zolotarev polynomials with complex coefficients. (English) Zbl 0898.41005 Constructive Approximation 13, No. 2, 261-269 (1997). Reviewer: A.Lukashov (Saratov) MSC: 41A10 41A50 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Constr. Approx. 13, No. 2, 261--269 (1997; Zbl 0898.41005) 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
Peherstorfer, F. Minimal polynomials for compact sets of the complex plane. (English) Zbl 0878.41003 Constructive Approximation 12, No. 4, 481-488 (1996). Reviewer: H.P.Dikshit (Bhopal) MSC: 41A10 30E10 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Constr. Approx. 12, No. 4, 481--488 (1996; Zbl 0878.41003) Full Text: DOI
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
Kroó, András; Peherstorfer, Franz On the asymptotic distribution of oscillation points in rational approximation. (English) Zbl 0791.41018 Anal. Math. 19, No. 3, 225-232 (1993). Reviewer: G.D.Taylor (Fort Collins) MSC: 41A20 41A50 PDFBibTeX XMLCite \textit{A. Kroó} and \textit{F. Peherstorfer}, Anal. Math. 19, No. 3, 225--232 (1993; Zbl 0791.41018) Full Text: DOI
Kroó, András; Peherstorfer, Franz On the distribution of extremal points of general Chebyshev polynomials. (English) Zbl 0752.41025 Trans. Am. Math. Soc. 329, No. 1, 117-130 (1992). Reviewer: H.Benker (Merseburg) MSC: 41A50 PDFBibTeX XMLCite \textit{A. Kroó} and \textit{F. Peherstorfer}, Trans. Am. Math. Soc. 329, No. 1, 117--130 (1992; Zbl 0752.41025) 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 Gauss-Chebyshev quadrature formulas. (English) Zbl 0717.41057 Numer. Math. 58, No. 3, 273-286 (1990). Reviewer: B.Ruffer-Beedgen MSC: 41A55 65D32 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Numer. Math. 58, No. 3, 273--286 (1990; Zbl 0717.41057) Full Text: DOI EuDML
Peherstorfer, Franz On Chebyshev quadrature formulas. (English) Zbl 0691.41031 Numerical integration III, Proc. Conf., Oberwolfach/FRG 1987, ISNM 85, 172-185 (1988). Reviewer: J.Kofron MSC: 41A55 65D30 PDFBibTeX XML
Kroó, András; Peherstorfer, Franz Interpolatory properties of best rational \(L_ 1\)-approximations. (English) Zbl 0676.41018 Constructive Approximation 4, No. 1, 97-106 (1988). Reviewer: D.Wulbert MSC: 41A20 41A50 41A17 41A05 PDFBibTeX XMLCite \textit{A. Kroó} and \textit{F. Peherstorfer}, Constr. Approx. 4, No. 1, 97--106 (1988; Zbl 0676.41018) Full Text: DOI
Peherstorfer, Franz On Gauss quadrature formulas with equal weights. (English) Zbl 0636.41018 Numer. Math. 52, No. 3, 317-327 (1988). MSC: 41A55 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Numer. Math. 52, No. 3, 317--327 (1988; Zbl 0636.41018) Full Text: DOI EuDML
Kroó, András; Peherstorfer, Franz Interpolatory properties of best \(L_ 1\)-approximants. (English) Zbl 0635.41004 Math. Z. 196, 249-257 (1987). Reviewer: C.Mustăţa MSC: 41A05 41A50 PDFBibTeX XMLCite \textit{A. Kroó} and \textit{F. Peherstorfer}, Math. Z. 196, 249--257 (1987; Zbl 0635.41004) Full Text: DOI EuDML
Kroó, András; Peherstorfer, Franz On the zeros of polynomials of minimal \(L_ p\)-norm. (English) Zbl 0629.41015 Proc. Am. Math. Soc. 101, 652-656 (1987). MSC: 41A50 PDFBibTeX XMLCite \textit{A. Kroó} and \textit{F. Peherstorfer}, Proc. Am. Math. Soc. 101, 652--656 (1987; Zbl 0629.41015) Full Text: DOI
Peherstorfer, F. On Tchebycheff polynomials on disjoint intervals. (English) Zbl 0615.41023 A. Haar Mem. Conf., Budapest/Hung. 1985, Colloq. Math. Soc. János Bolyai 49, 737-751 (1987). Reviewer: S.Aljančić MSC: 41A50 PDFBibTeX XML
Peherstorfer, Franz On a sufficient condition for best \(L^ 1\)-approximation. (English) Zbl 0571.41021 SIAM J. Math. Anal. 15, 1188-1195 (1984). MSC: 41A45 41A10 41A20 PDFBibTeX XMLCite \textit{F. Peherstorfer}, SIAM J. Math. Anal. 15, 1188--1195 (1984; Zbl 0571.41021) 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, F. On an \(L^1\)-approximation problem. (English) Zbl 0509.41010 Anal. Math. 8, 181-188 (1982). MSC: 41A45 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Anal. Math. 8, 181--188 (1982; Zbl 0509.41010) Full Text: DOI
Peherstorfer, F. On an extremal problem for nonnegative trigonometric polynomials and the characterization of positive quadrature formulas with Chebyshev weight function. (English) Zbl 0492.42005 Acta Math. Acad. Sci. Hung. 39, 107-116 (1982). MSC: 42A10 65D32 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Acta Math. Acad. Sci. Hung. 39, 107--116 (1982; Zbl 0492.42005) Full Text: DOI
Peherstorfer, Franz On a sufficient condition in \(L^ 1-\)approximation. (English) Zbl 0482.41022 J. Math. Anal. Appl. 84, 170-177 (1981). MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{F. Peherstorfer}, J. Math. Anal. Appl. 84, 170--177 (1981; Zbl 0482.41022) Full Text: DOI
Peherstorfer, Franz Erweiterung des Satzes von Markoff. (German) Zbl 0373.41019 Lin. Räume und Approx., Abh. Tag. Oberwolfach 1977, ISNM 40, 423-431 (1978). MSC: 41A50 41A10 PDFBibTeX XML