Journal of Approximation Theory

What is available:

 ->[Mathematik / Bereich 2]

Journal of Approximation Theory

Volume 85, Number 1, April 1996

Peter Mathé:
On the existence of unbiased Monte Carlo estimators ( 1--15).
Ying Guang Shi:
Necessary conditions for L_p convergence of Lagrange interpolation on an
arbitrary system of nodes (16--26).
Michael Prophet:
Codimension one minimal projections onto the quadratics ( 27--42).
Jorge Bustamante Gonzalez:
Asymptotics for Angelesco-Nikishin systems ( 43--68).
Thomas Bagby, Len Bos, and Norman Levenberg:
Quantitative approximation theorems for elliptic operators ( 69--87).
Dimitar K. Dimitrov:
On a conjecture concerning monotonicity of zeros of ultraspherical polynomials
( 88--97).
Y. Makovoz:
Random approximants and neural networks ( 98--109).

SCIENTIFIC NOTES

Kamen G. Ivanov and Boyan Popov:
On convex approximation by quadratic splines ( 110--114).

->[Contents]

Journal of Approximation Theory

Volume 85, Number 2, May 1996

Fang Gensun:
Whittaker--Kotelnikov--Shannon sampling theorem and aliasing error
(115--131).
Peter Borwein and Tamás Erdélyi:
Newman's inequality for Müntz polynomials on positive intervals (132--139).
Franz Peherstorfer and Robert Steinbauer:
Orthogonal polynomials on arcs of the unit circle, I (140--184).
Keiji Izuchi, Hiroyuki Tagaki, and Seiji Watanabe:
Sequential BKW--operators and function algebras (185--200).
Kang Zhao:
Simultaneous approximation and quasi-interpolants (201--217).
George C. Kyriazis:
Approximation orders of principal shift-invariant spaces generated by box splines
(218--232).

SCIENTIFIC NOTES

Vladimir Operstein :
Full Müntz theorem in $L_p[0,1]$ (233--235).

->[Contents]

Journal of Approximation Theory

Volume 85, Number 3, June 1996

Ya. I. Alber:
A bound for the modulus of continuity for metric projections in a uniformly
smooth Banach space (237--249).
Frank Deutsch and Sizwe Mabizela:
Best interpolatory approximation in normed linear spaces (250--268).
Alan Pinkus:
TDI-subspaces of $C({\BBJ R}^d)$ and some density problems from
neural networks (269--287).
Krzysztof Przes\lawski:
Centres of convex sets in $L^p$ metrics (288--296).
Hovik V. Gevorgian, Hakop A. Hakopian, and Artur A. Sahakian:
Bivariate Hermite interpolation and numerical curves (297--317).
M. A. Al-Thagaf:
Common fixed points and best approximation (318--323).
Manuel Bello Hernández and Andrei Martínez Finkelshtein:
Zero asymptotics of Laurent orthogonal polynomials (324--342).
Boris Shekhtman:
Another note on polynomial vs rational approximation (343--348).

Author index for Volume 85 (348--349).

->[Contents]

Journal of Approximation Theory

Volume 86, Number 1, July 1996

Dedication

  • Tribute to Oved Shisha (1--2).
  • Some personal recollections of Oved Shisha (3--5).
  • Publications of Oved Shisha (6--12).
    • Lauren L. Rose:
    Module bases for multivariate splines (13--20).
    Avram Sidi:
    Extension and completion of Wynn's theory on convergence of columns of the epsilon table (21--40).
    Charles A. Micchelli:
    Interpolatory subdivision schemes and wavelets (41--71).
    Andreas Schelling:
    Convergence theorems for continued fractions in Banach spaces (72--80).
    Dan Gonsor and Marian Neamtu:
    Null spaces of differential operators, polar forms, and splines (81--107).
    Xuguang Lu:
    A negative result on multivariate convex approximation by positive linear operators (108--119).
    S. S. Rana and Y. P. Dubey:
    Local behaviour of the deficient discrete cubic spline interpolator (120--127).

    ->[Contents]

    Journal of Approximation Theory

    Volume 86, Number 2, August 1996

    Georg Isac and Lars-Erik Persson:
    On an inequality related to the isotonicity of the projection operator (129--143).
    Nataly Chistyakova and Vladimir Logvinenko:
    Polynomial approximation on varying sets (144--178).
    Zhongkai Li:
    Conjugate Jacobi series and conjugate functions (179--196).
    Inna Bashmakova and Semyon Rafaelson:
    On the approximation of continuous functions by Fourier--Legendre sums
    (197--215).
    J. Abouir, A. Cuyt, P. Gonzalez-Vera, and R. Orive:
    On the convergence of general order multivariate Padé-type approximants
    (216--228).
    Ying Guang Shi:
    The generalized Markov-Stieltjes inequality for Birkhoff quadrature formulas
    (229--239).
    Qiyu Sun:
    Refinable functions with compact support (240--252).

    ->[Contents]

    Journal of Approximation Theory

    Volume 86, Number 3, September 1996

    Dedication: Richard Askey:
    Remembering Paul Turán (253--254).
    Hervé Le Ferrand:
    The vector QD algorithm for smooth functions $(f, f') (255--269).
    I. A. Shevchuk:
    One example in monotone approximation (270--277).
    Teresa E. P\'erez and Miguel A. Pi\~nar:
    On Sobolev orthogonality for the generalized Laguerre polynomials (278--285).
    L. Imhof:
    On the sharpness of a Jackson estimate by Ditzian-Totik (286--292).
    Klaus Ritter:
    Almost optimal differentiation using noisy data (293--309).
    Amiran Ambroladze and Hans Wallin:
    Convergence rates of Padé-type approximants (310--319).
    Y. K. Hu, A. Kopotun, and X. M. Yu:
    On positive and copositive polynomial and spline approximation in L_p[-1,1], p=1..\infty (320--334).
    André Ronveaux and Walter Van Assche:
    Upward extension of the Jacobi matrix for orthogonal polynomials (335--357).

    Book reviews (358--368).

    Author index for Volume 86 (369).

    ->[Contents]

    Journal of Approximation Theory

    Volume 87, Number 1, October 1996

    R. K. Beatson and N. Dyn:
    Multiquadric $B$-splines (1--24).
    Abdullah \c{C}avu\c{s}:
    Approximation by generalized Faber series in Bergman spaces on finite regions
    with a quasiconformal boundary (25--35).
    B. J. C. Baxter and N. Sivakumar:
    On shifted cardinal interpolation by Gaussians and multiquadrics (36--59).
    Franz Peherstorfer and Robert Steinbauer:
    Orthogonal polynomials on arcs of the unit circle II. Orthogonal polynomials with
    periodic reflection coefficients (60--102).
    A. Boivin and A. H. Nersessian:
    An example in tangential meromorphic approximation (103--111).
    A. B. J. Kuijlaars:
    A note on weighted polynomial approximation with varying weights (112--115).

    ->[Contents]

    Journal of Approximation Theory

    Volume 87, Number 2, October 1996

    G. Nürnberger:
    Approximation order of bivariate spline interpolation (117--136).
    Matthew X. He:
    Explicit representations of Faber polynomials for $m$-cusped hypocycloids (137--147).
    Kuei-Fang Chang:
    Strictly positive definite functions (148--158).
    Keiji Izuchi and Sin-Ei Takahasi:
    BKW-operators on the interval and the sequence spaces (159--169).
    G. Min:
    Saturation problem of $L_p$-approximation by Hermite-Fej\'er interpolation (170--178).
    George Kvernadze:
    Uniform convergence of Lagrange interpolation based on the Jacobi nodes (179--193).
    A. Sharma, J. Szabados, B. Underhill, and A. K. Varma:
    On some general lacunary interpolation problems (194--219).
    Yuan Xu:
    Lagrange interpolation on Chebyshev points of two variables (220--238).

    NOTE

    J. J. Swetits and B. Wood:
    On the degree of $L_p$ approximation with positive linear operators (239--241).

    ->[Contents]

    Journal of Approximation Theory

    Volume 87, Number 3, Dezember 1996

    Michele Campiti and Giorgio Metafune:
    Approximation properties of recursively defined Bernstein-type operators (243--269).
    Michele Campiti and Giorgio Metafune:
    Evolution equations associated with recursively defined Bernstein-type operators (270--290).
    A. Atzmon and A. Olevski\v{\i}:
    Completeness of integer translates in function spaces on $\BR$ (291--327).
    Semyon Rafalson:
    Nonnegative Fourier-Jacobi Coefficients and some classes of functions (328--337).
    K. Jetter and J. Stöckler:
    Riesz bases of splines and regularized splines with multiple knots (338--359).

    Author index for volume 87 (360).

    ->[Contents]

    Journal of Approximation Theory

    Volume 88, Number 1, January 1997

    R. A. Kerman:
    Strong and weak weighted convergence of Jacobi series (1--27).
    Xue-Zhang Liang and Chun-Mei Lü:
    On the convergence of Hakopian interpolation and cubature (28--46).
    Bernard Delyon and Anatoli Juditsky:
    On the computation of wavelet coefficients (47--79).
    Daniel Duverney:
    Explicit computation of Pad\'e-Hermite approximants (80--91).
    Grzegorz Lewicki:
    Minimal projections onto two dimensional subspaces of $l^{(4)}_\infty$ (92--108).
    Vladimir Andrievskii and Hans-Peter Blatt:
    Erd\H{o}s-Tur\'an theorems on piecewise smooth curves and arcs (109--134).

    NOTE

    A. Z. Grinshpan and E. B. Saff:
    Estimating the argument of some analytic functions (135--138).

    ->[Contents]

    Journal of Approximation Theory

    Volume 88, Number 2, February 1997

    Song Li:
    Local smoothness of functions and Baskakov-Durrmeyer operators (139--153).
    Marek Be\'ska and Karol Dziedziul:
    Multiresolution approximation and Hardy spaces (154--167).
    Ferenc Weisz:
    Ces\'aro summability of two-parameter Walsh- Fourier series (168--192).
    Andi Kivinukk:
    On the measure of approximation for some linear means of trigonometric Fourier series (193--208).
    K. Zi\c{e}tak:
    Orthant-monotonic norms and overdetermined linear systems (209--227).
    Bernd Carl and Andreas Defant:
    Asymptotic estimates for approximation quantities of tensor product identities (228--256).
    G. C. Kyriazis:
    Wavelet-type decompositions and approximations from shift-invariant spaces (257--271).

    NOTE

    Ding-Xuan Zhou:
    Extendibility of rational matrices (272--274).

    ->[Contents]

    Journal of Approximation Theory

    Volume 90, Number 2, August 1997

    P. R. Graves-Morris and J. Van Iseghem
    Row convergence theorems for vector-valued Pad\'e approximants (153--173).
    Ulrich Reif
    A refineable space of spline surfaces of arbitrary topological genus (174--199).
    Jung-Chan Chang and Sen-Yen Shaw
    Optimal and non-optimal rates of approximation for integrated semigroups and cosine functions (200--223).
    Vladimir Andrievskii
    Harmonic version of Jackson's theorem in the complex plane (224--234).
    J J. Voss
    A sampling theorem with nonuniform complex nodes (235--254).
    A. Guessab and Q. I. Rahman
    Quadrature formulae and polynomial inequalities (255--282).
    F. Wielonsky
    Asymptotics of diagonal Hermite-Pad\'e approximants to $e^z$ (283--298).
    Antonio J. Duran and Pedro Lopez-Rodriguez
    The $L^p$ space of a positive definite matrix of measures and density of matrix polynomials in $L^1$ (299--318).

    ->[Contents]

    Jens Burmeister, Lehrstuhl Praktische Mathematik, Mathematisches Seminar 2,
    Christian-Albrechts-Universität Kiel, Hermann-Rodewald-Str. 3/1, 24098 Kiel
    Tel.: 0431-880-4462, Fax: 0431-880-4054, Email: jb@numerik.uni-kiel.de
    [Last modified: Mon Jun 3 18:00:58 MET DST 1996]