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ORCIDJournal of Approximation Theory, Volume 162
Volume 162, Number 1, January 2010
- Günther Nürnberger:
Günter Meinardus (1926-2007). 1-5 - Ioan Gavrea, Mircea Ivan
:
An extremal property for a class of positive linear operators. 6-9 - Mieczyslaw Mastylo:
Interpolation estimates for entropy numbers with applications to non-convex bodies. 10-23 - Laura Luzzi, Stefano Marmi, Hitoshi Nakada, Rie Natsui:
Generalized Brjuno functions associated to alpha-continued fractions. 24-41 - Milutin R. Dostanic:
Zygmund's inequality for entire functions of exponential type. 42-53 - Hua Liu, Jinyuan Du, Guozhu Shang:
The region of analytic functions for the convergence of trigonometric interpolation. 54-63 - Wei-Bo Guan, Wen Song:
W-approximative compactness and continuity of the generalized projection operator in Banach spaces. 64-71 - Alexander Brudnyi:
On covering numbers of sublevel sets of analytic functions. 72-93 - Ery Arias-Castro, Boris Efros, Ofer Levi:
Networks of polynomial pieces with application to the analysis of point clouds and images. 94-130 - Javier Duoandikoetxea:
The bilinear Hilbert transform acting on Hermite and Laguerre functions. 131-140 - Rodica D. Costin:
Orthogonality of Jacobi and Laguerre polynomials for general parameters via the Hadamard finite part. 141-152 - Stephan Dahlke, Massimo Fornasier, Karlheinz Gröchenig:
Optimal adaptive computations in the Jaffard algebra and localized frames. 153-185 - Rong-Qing Jia:
Approximation by quasi-projection operators in Besov spaces. 186-200 - Ulrich Abel, Elena E. Berdysheva:
Complete asymptotic expansion for multivariate Bernstein-Durrmeyer operators and quasi-interpolants. 201-220
- Andrei Martínez-Finkelshtein:
Book reviews. 221-238
Volume 162, Number 2, February 2010
- Fabián E. Levis:
Weak inequalities for maximal functions in Orlicz-Lorentz spaces and applications. 239-251 - Peter Massopust, Brigitte Forster:
Multivariate complex B-splines and Dirichlet averages. 252-269 - Yang Chen, Alexander Its:
Painlevé III and a singular linear statistics in Hermitian random matrix ensembles, I. 270-297 - Doron S. Lubinsky:
Orthogonal polynomials and Padé approximants for reciprocal polynomial weights. 298-302 - Samuel G. Moreno, Esther M. García-Caballero:
Non-classical orthogonality relations for big and little q-Jacobi polynomials. 303-322 - A. I. Stepanets, A. L. Shidlich:
Best approximations of integrals by integrals of finite rank. 323-348 - Shai Dekel:
On the equivalence of the modulus of smoothness and the K-functional over convex domains. 349-362 - Manuel Bello Hernández:
Convergence of Padé approximants of Stieltjes-type meromorphic functions and the relative asymptotics of orthogonal polynomials on the real line. 363-381 - Feng Dai, Zeev Ditzian:
Jackson theorem in Lp, 0p, for functions on the sphere. 382-391 - Miguel Martín, T. S. S. R. K. Rao:
On remotality for convex sets in Banach spaces. 392-396 - Bujar Xh. Fejzullahu:
Asymptotic properties and Fourier expansions of orthogonal polynomials with a non-discrete Gegenbauer-Sobolev inner product. 397-406 - Roberto Barrio, Juan Manuel Peña, Tomas Sauer:
Three term recurrence for the evaluation of multivariate orthogonal polynomials. 407-420 - Herbert Dueñas, Francisco Marcellán:
The Laguerre-Sobolev-type orthogonal polynomials. 421-440 - Alberto A. Condori:
Monotone thematic factorizations of matrix functions. 441-462
Volume 162, Number 3, March 2010
- Martin D. Buhmann, Kurt Jetter:
Preface. 493 - Michael A. Matt, Günther Nürnberger:
Local Lagrange interpolation using cubic C1 splines on type-4 cube partitions. 494-511 - Richard K. Beatson, Oleg Davydov, Jeremy Levesley:
Error bounds for anisotropic RBF interpolation. 512-527 - Oleg Davydov, Paul Sablonnière:
C2 piecewise cubic quasi-interpolants on a 6-direction mesh. 528-544 - Simon Setzer, Gabriele Steidl, Tanja Teuber, Guido Moerkotte:
Approximation related to quotient functionals. 545-558 - Costanza Conti, Mariantonia Cotronei, Tomas Sauer:
Full rank interpolatory subdivision: A first encounter with the multivariate realm. 559-575 - Elena E. Berdysheva, Kurt Jetter:
Multivariate Bernstein-Durrmeyer operators with arbitrary weight functions. 576-598 - Hong-Yan Wang, Dao-Hong Xiang, Ding-Xuan Zhou:
Moving least-square method in learning theory. 599-614 - M. V. Noskov, K. A. Kirillov:
Minimal cubature formulas exact for Haar polynomials. 615-627 - András Kroó:
On the approximation of convex bodies by convex algebraic level surfaces. 628-637
Volume 162, Number 4, April 2010
- Michael A. Lachance, Walter Van Assche:
Joseph L. Ullman (1923-1995). 639-645 - Fuchang Gao:
Exact value of the n-term approximation of a diagonal operator. 646-652 - Peter J. Forrester, Christopher M. Ormerod:
Differential equations for deformed Laguerre polynomials. 653-677 - Ridha Sfaxi:
On inverse problem leading to second-order linear functionals. 678-686 - György Gát:
Almost everywhere convergence of Fejér and logarithmic means of subsequences of partial sums of the Walsh-Fourier series of integrable functions. 687-708 - T. Gharibyan, Wolfgang Luh, Jürgen Müller:
A lacunary version of Mergelian's approximation theorem. 709-716 - Arthur A. Danielyan:
On a polynomial approximation problem. 717-722 - Roderick Wong, Lun Zhang:
Global asymptotics of orthogonal polynomials associated with |x|2alphae-Q(x). 723-765 - Boris Z. Shapiro, Milos Tater:
On spectral polynomials of the Heun equation. I. 766-781 - Christophe Smet, Walter Van Assche:
Mellin transforms for multiple Jacobi-Piñeiro polynomials and a q-analogue. 782-806 - Ana Pilar Foulquié Moreno, Andrei Martínez-Finkelshtein, Vítor Luís Sousa:
On a conjecture of A. Magnus concerning the asymptotic behavior of the recurrence coefficients of the generalized Jacobi polynomials. 807-831 - Marco Bertola, M. Gekhtman, J. Szmigielski:
Cauchy biorthogonal polynomials. 832-867
- Jeffrey S. Geronimo:
Corrigendum to "On the spectra of infinite-dimensional Jacobi matrices" [J. Approx. Theory 53 (1988) 251-265]. 868
Volume 162, Number 5, May 2010
- Youfa Li, Shouzhi Yang:
Explicit construction of symmetric orthogonal wavelet frames in L2(RS). 891-909 - Tim Huber:
Zeros of generalized Rogers-Ramanujan series: Asymptotic and combinatorial properties. 910-930 - Grzegorz Lewicki, Michael Prophet:
Minimal shape-preserving projections in tensor product spaces. 931-951 - Borislav R. Draganov:
Exact estimates of the rate of approximation of convolution operators. 952-979 - Zeev Ditzian:
Smoothness of a function and the growth of its Fourier transform or its Fourier coefficients. 980-986 - David Gómez-Ullate, Niky Kamran, Robert Milson:
An extension of Bochner's problem: Exceptional invariant subspaces. 987-1006 - Yuliya Babenko:
Exact asymptotics of the uniform error of interpolation by multilinear splines. 1007-1024 - José A. Conejero, Vladimír Müller:
On the universality of multipliers on H(C). 1025-1032 - Steven Delvaux:
Average characteristic polynomials for multiple orthogonal polynomial ensembles. 1033-1067 - Stamatis Koumandos, Martin Lamprecht:
On a conjecture for trigonometric sums and starlike functions, II. 1068-1084 - Philipp Grohs:
Approximation order from stability for nonlinear subdivision schemes. 1085-1094 - Patrick L. Combettes, Noli N. Reyes:
Functions with prescribed best linear approximations. 1095-1116
Volume 162, Number 6, June 2010
- Alexander I. Rozhenko:
A new method for finding the optimal smoothing parameter for the abstract smoothing spline. 1117-1127 - Chong Li, Wen Song, Jen-Chih Yao:
The Bregman distance, approximate compactness and convexity of Chebyshev sets in Banach spaces. 1128-1149 - Linsen Xie:
The lower estimate for the linear combinations of Bernstein-Kantorovich operators. 1150-1159 - Heping Wang, Xuebo Zhai:
Best approximation of functions on the ball on the weighted Sobolev space equipped with a Gaussian measure. 1160-1177 - Ha Huy Bang, Vu Nhat Huy:
Behavior of the sequence of norms of primitives of a function. 1178-1186 - Quentin Rajon, Thomas Ransford, Jérémie Rostand:
Computation of weighted capacity. 1187-1203 - Polina Yu. Glazyrina:
Necessary conditions for metrics in integral Bernstein-type inequalities. 1204-1210 - Rostyslav Kozhan:
Szego asymptotics for matrix-valued measures with countably many bound states. 1211-1224 - Heinz H. Bauschke, Mason S. Macklem, Jason B. Sewell, Xianfu Wang:
Klee sets and Chebyshev centers for the right Bregman distance. 1225-1244 - A. D. Gadjiev, A. M. Ghorbanalizadeh:
Approximation of analytical functions by sequences of k-positive linear operators. 1245-1255 - Francis J. Narcowich, Xingping Sun, Joseph D. Ward, Zongmin Wu:
LeVeque type inequalities and discrepancy estimates for minimal energy configurations on spheres. 1256-1278 - Jianbin Yang, Song Li:
Smoothness of multivariate refinable functions with infinitely supported masks. 1279-1293 - Manwah Lilian Wong:
Asymptotics of orthogonal polynomials and point perturbation on the unit circle. 1294-1321 - Bernhard Beckermann, Maxim S. Derevyagin, Alexei S. Zhedanov:
The linear pencil approach to rational interpolation. 1322-1346
Volume 162, Number 7, July 2010
- Dansheng Yu, Ping Zhou, Songping Zhou:
Pointwise and global estimate for approximation by rational functions with prescribed numerator degree. 1347-1363 - Rafael Espínola, Chong Li, Genaro López-Acedo:
Nearest and farthest points in spaces of curvature bounded below. 1364-1380 - Hee Sun Jung, Ryozi Sakai:
The Markov-Bernstein inequality and Hermite-Fejér interpolation for exponential-type weights. 1381-1397 - Boris Shekhtman:
On non-existence of certain error formulas for ideal interpolation. 1398-1406 - J. M. Aldaz, Hermann Render:
Optimality of generalized Bernstein operators. 1407-1416 - Giuseppe Mastroianni, Maria Grazia Russo:
Some new results on Lagrange interpolation for bounded variation functions. 1417-1428
Volume 162, Number 8, August 2010
- Maria Charina, Joachim Stöckler:
Tight wavelet frames via semi-definite programming. 1429-1449 - Gerald H. L. Cheang:
Approximation with neural networks activated by ramp sigmoids. 1450-1465 - Arne Schneck:
Constrained Hardy space approximation. 1466-1483 - Manfred Sommer:
The Chebyshev rank of multivariate polynomials in L1-approximation. 1484-1494 - Jorge Bustamante, José M. Quesada, Lorena Morales de la Cruz:
Direct estimate for positive linear operators in polynomial weighted spaces. 1495-1508
Volume 162, Number 9, September 2010
- Pencho Petrushev:
The sixth Vasil Popov prize awarded to Joel A. Tropp of California Institute of Technology Thirteenth International Conference in Approximation Theory, San Antonio, Texas, March 8, 2010. 1509-1510 - Peter Oswald, Tatiana Shingel:
Close-to-optimal bounds for SU(N) loop approximation. 1511-1517 - Maciej J. Ciesielski, Anna Kaminska:
The best constant approximant operators in Lorentz spaces Gammap, w and their applications. 1518-1544 - Jeremy Wade:
A discretized Fourier orthogonal expansion in orthogonal polynomials on a cylinder. 1545-1576 - Héctor Cuenya, Fabián E. Levis:
Interpolation and best simultaneous approximation. 1577-1587 - Dang-Zheng Liu, Zheng-Dong Wang, Kui-Hua Yan:
Density of eigenvalues and its perturbation invariance in unitary ensembles of random matrices. 1588-1606 - Minho Kim, Jörg Peters:
Symmetric box-splines on the A*n lattice. 1607-1630 - Heikki Seppälä:
On the optimal approximation rate of certain stochastic integrals. 1631-1653 - Boris V. Simonov, Sergey Tikhonov:
Sharp Ul'yanov-type inequalities using fractional smoothness. 1654-1684 - Jan Schneider:
Error estimates for two-dimensional cross approximation. 1685-1700 - Frank Deutsch, Hein Hundal:
Slow convergence of sequences of linear operators I: Almost arbitrarily slow convergence. 1701-1716 - Frank Deutsch, Hein Hundal:
Slow convergence of sequences of linear operators II: Arbitrarily slow convergence. 1717-1738
Volume 162, Number 10, October 2010
- András Kroó, Allan Pinkus, Yuan Xu:
Borislav D. Bojanov: 18 November 1944-8 April 2009. 1739-1765 - Borislav Bojanov, Nikola Naidenov:
On oscillating polynomials. 1766-1787 - Borislav Bojanov, Guergana Petrova:
Quadrature formula for computed tomography. 1788-1792 - Dimitar K. Dimitrov, Geno P. Nikolov:
Sharp bounds for the extreme zeros of classical orthogonal polynomials. 1793-1804 - Borislav R. Draganov, Kamen G. Ivanov:
A characterization of weighted approximations by the Post-Widder and the Gamma operators, II. 1805-1851 - Vitalii V. Arestov, Alexei S. Mendelev:
Trigonometric polynomials of least deviation from zero in measure and related problems. 1852-1878
Volume 162, Number 11, November 2010
- Jyoichi Kaneko:
Constrained extremal problems for the difference product. 1879-1918 - Xin Guo:
Learning gradients via an early stopping gradient descent method. 1919-1944 - Eliana Xavier Linhares de Andrade, Cleonice F. Bracciali, Laura Castaño-García, Juan J. Moreno-Balcázar:
Asymptotics for Jacobi-Sobolev orthogonal polynomials associated with non-coherent pairs of measures. 1945-1963 - Liqin Duan:
The best m-term approximations on generalized Besov classes MBq, ThetaOmega with regard to orthogonal dictionaries. 1964-1981 - Peter Dragnev, Erwin Miña Díaz:
Asymptotic behavior and zero distribution of Carleman orthogonal polynomials. 1982-2003 - Paul Armand, Joël Benoist, Elsa Bousquet:
Chebyshev approximation of the null function by an affine combination of complex exponential functions. 2004-2020 - Ilia Krasikov, Alexander Zarkh:
Equioscillatory property of the Laguerre polynomials. 2021-2047 - Arno B. J. Kuijlaars, Pablo Román:
Recurrence relations and vector equilibrium problems arising from a model of non-intersecting squared Bessel paths. 2048-2077 - Giuseppe Mastroianni, Woula Themistoclakis:
Pointwise estimates for polynomial approximation on the semiaxis. 2078-2105 - Kamel Belbahri:
Triangular expansions. 2106-2128
Volume 162, Number 12, December 2010
- Heng Zhou:
Uniqueness of Gaussian quadrature formula for computed tomography. 2129-2135 - Jesús Araujo, Juan J. Font:
On the stability index for weighted composition operators. 2136-2148 - Yang Chen, Dan Dai:
Painlevé V and a Pollaczek-Jacobi type orthogonal polynomials. 2149-2167 - G. A. Dzyubenko, Kirill A. Kopotun, A. V. Prymak:
Three-monotone spline approximation. 2168-2183 - Adhemar Bultheel, Pablo González-Vera, Erik Hendriksen, Olav Njåstad:
Growth properties of Nevanlinna matrices for rational moment problems. 2184-2201 - Alfredo Deaño, Daan Huybrechs, Arno B. J. Kuijlaars:
Asymptotic zero distribution of complex orthogonal polynomials associated with Gaussian quadrature. 2202-2224 - Ana Portilla, Yamilet Quintana, José M. Rodríguez, Eva Tourís:
Zero location and asymptotic behavior for extremal polynomials with non-diagonal Sobolev norms. 2225-2242 - M. N. de Jesus, J. Petronilho:
On orthogonal polynomials obtained via polynomial mappings. 2243-2277 - Grzegorz Lewicki, Agnieszka Micek:
Equality of two strongly unique minimal projection constants. 2278-2289 - Claude Brezinski:
Nonlinear functional equations satisfied by orthogonal polynomials. 2290-2302 - Michele Campiti, Cristian Tacelli:
Trotter's approximation of semigroups and order of convergence in C2, alpha-spaces. 2303-2316 - Ron Peled:
Simple universal bounds for Chebyshev-type quadratures. 2317-2348
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