Journal of Approximation Theory Short Title: J. Approx. Theory Publisher: Elsevier (Academic Press), San Diego, CA ISSN: 0021-9045 Online: http://www.sciencedirect.com/science/journal/00219045 Comments: Indexed cover-to-cover Documents Indexed: 4,993 Publications (since 1968) References Indexed: 4,451 Publications with 67,648 References. all top 5 Latest Issues 270 (2021) 269 (2021) 268 (2021) 267 (2021) 266 (2021) 265 (2021) 264 (2021) 263 (2021) 262 (2021) 260 (2020) 259 (2020) 258 (2020) 257 (2020) 256 (2020) 255 (2020) 254 (2020) 253 (2020) 252 (2020) 251 (2020) 250 (2020) 249 (2020) 248 (2019) 247 (2019) 246 (2019) 245 (2019) 244 (2019) 243 (2019) 242 (2019) 241 (2019) 240 (2019) 239 (2019) 238 (2019) 237 (2019) 236 (2018) 235 (2018) 234 (2018) 233 (2018) 232 (2018) 231 (2018) 230 (2018) 229 (2018) 228 (2018) 227 (2018) 226 (2018) 225 (2018) 224 (2017) 223 (2017) 222 (2017) 221 (2017) 220 (2017) 219 (2017) 218 (2017) 217 (2017) 216 (2017) 215 (2017) 214 (2017) 213 (2017) 212 (2016) 211 (2016) 210 (2016) 209 (2016) 208 (2016) 207 (2016) 206 (2016) 205 (2016) 204 (2016) 203 (2016) 202 (2016) 201 (2016) 200 (2015) 199 (2015) 198 (2015) 197 (2015) 196 (2015) 195 (2015) 194 (2015) 193 (2015) 192 (2015) 191 (2015) 190 (2015) 189 (2015) 188 (2014) 187 (2014) 186 (2014) 185 (2014) 184 (2014) 183 (2014) 182 (2014) 181 (2014) 180 (2014) 179 (2014) 178 (2014) 176 (2013) 175 (2013) 174 (2013) 173 (2013) 172 (2013) 171 (2013) 170 (2013) 169 (2013) ...and 351 more Volumes all top 5 Authors 56 Dunham, Charles B. 44 Lubinsky, Doron S. 40 Shi, Yingguang 38 Shisha, Oved 37 Saff, Edward Barry 34 Nevai, Paul G. 33 Chui, Charles Kam-tai 33 Leviatan, Dany 32 Deutsch, Frank 32 Ditzian, Zeev 32 Totik, Vilmos 30 Kroó, András 30 Van Assche, Walter 27 Duran, Antonio J. 26 Newman, Donald J. 26 Taylor, Gerald D. 26 Xu, Yuan 25 de Boor, Carl 25 Erdélyi, Tamás 25 Schumaker, Larry L. 24 Henry, Myron Stanley 24 Marcellán Español, Francisco 24 Reddy, A. R. 23 Pinkus, Allan M. 23 Roulier, John A. 21 Braess, Dietrich 21 López Lagomasino, Guillermo Tomás 21 Swetits, John J. 20 Kuijlaars, Arno B. J. 20 Szabados, Jozsef 20 Zalik, Richard A. 19 Goodman, Timothy N. T. 19 Zhou, Dingxuan 18 Blatt, Hans-Peter 18 Peherstorfer, Franz 18 Sommer, Manfred 18 Varma, Arun Kumar 17 Andrievskii, Vladimir V. 17 Bos, Len P. 17 Butzer, Paul Leo 17 Dyn, Nira 17 Geronimo, Jeffrey S. 16 Lewicki, Grzegorz 16 Martínez-Finkelshtein, Andrei 15 Chalmers, Bruce Longworthy 15 Ismail, Mourad El-Houssieny 15 Loeb, Henry L. 15 Lorentz, Georg Gunther 15 Mhaskar, Hrushikesh N. 15 Nürnberger, Günther 15 Ubhaya, Vasant A. 15 Ward, Joseph Dinneen 14 Borwein, Peter Benjamin 14 Boyanov, Borislav Dechev 14 Li, Chong 14 Mastroianni, Giuseppe 14 Passow, Eli 14 Schmidt, Darrell 14 Sharma, Ambikeshwar 14 Wang, Heping 13 Bartelt, Martin W. 13 Cheney, Elliott Ward jun. 13 Golinskii, Leonid Borisovich 13 Kopotun, Kirill A. 13 Light, William A. 13 Micchelli, Charles A. 13 Shekhtman, Boris 13 Shevchuk, Igor A. 13 Smarzewski, Ryszard 13 Strauss, Hans 13 Varga, Richard Steven 12 Ganzburg, Michael Iosifovich 12 Kaufman, Edwin H. jun. 12 Li, Wu 12 Móricz, Ferenc 12 Quesada, José María 12 Smith, Philip W. 12 Vértesi, Péter 12 Watson, G. Alistair 12 Wolfe, Jerry M. 12 Zhou, Songping 11 Barrar, Richard B. 11 Beatson, Rick K. 11 Buhmann, Martin Dietrich 11 Dai, Feng 11 Davydov, Oleg V. 11 Goetgheluck, Pierre 11 Huotari, Robert 11 Kilgore, Theodore A. 11 McLaughlin, Harry W. 11 Rahman, Qazi Ibadur 11 Schmeisser, Gerhard 11 Simon, Barry 11 Ziegler, Zvi 10 Amir, Dan 10 Bauschke, Heinz H. 10 Brosowski, Bruno 10 Bustamante González, Jorge 10 Chen, Dirong 10 Cobos, Fernando ...and 3,208 more Authors all top 5 Fields 3,364 Approximations and expansions (41-XX) 914 Harmonic analysis on Euclidean spaces (42-XX) 477 Functions of a complex variable (30-XX) 447 Special functions (33-XX) 439 Functional analysis (46-XX) 373 Numerical analysis (65-XX) 297 Operator theory (47-XX) 173 Real functions (26-XX) 79 Probability theory and stochastic processes (60-XX) 70 Ordinary differential equations (34-XX) 67 Potential theory (31-XX) 66 Sequences, series, summability (40-XX) 64 Number theory (11-XX) 54 Partial differential equations (35-XX) 51 History and biography (01-XX) 51 Linear and multilinear algebra; matrix theory (15-XX) 47 Difference and functional equations (39-XX) 45 Information and communication theory, circuits (94-XX) 43 Measure and integration (28-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 41 Convex and discrete geometry (52-XX) 37 Abstract harmonic analysis (43-XX) 37 Computer science (68-XX) 35 Integral transforms, operational calculus (44-XX) 34 Several complex variables and analytic spaces (32-XX) 28 Statistics (62-XX) 25 General topology (54-XX) 25 Operations research, mathematical programming (90-XX) 20 Combinatorics (05-XX) 17 Dynamical systems and ergodic theory (37-XX) 15 Integral equations (45-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 General and overarching topics; collections (00-XX) 11 Quantum theory (81-XX) 10 Statistical mechanics, structure of matter (82-XX) 10 Systems theory; control (93-XX) 9 Field theory and polynomials (12-XX) 8 Topological groups, Lie groups (22-XX) 7 Geometry (51-XX) 7 Differential geometry (53-XX) 6 Commutative algebra (13-XX) 3 Mathematical logic and foundations (03-XX) 3 Algebraic geometry (14-XX) 3 Group theory and generalizations (20-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 4,050 Publications have been cited 32,928 times in 19,195 Documents Cited by ▼ Year ▼ On calculating with B-splines. Zbl 0239.41006de Boor, Carl 270 1972 A strong convergence theorem for relatively nonexpansive mappings in a Banach space. Zbl 1071.47063Matsushita, Shin-ya; Takahashi, Wataru 239 2005 Géza Freud, orthogonal polynomials and Christoffel functions. A case study. Zbl 0606.42020Nevai, Paul 174 1986 Solution of a problem of Ulam. Zbl 0672.41027Rassias, John M. 140 1989 Approximating solutions of maximal monotone operators in Hilbert spaces. Zbl 0992.47022Kamimura, Shoji; Takahashi, Wataru 137 2000 Spline approximation by quasiinterpolants. Zbl 0279.41008de Boor, C.; Fix, G. J. 137 1973 Error estimates for interpolation by compactly supported radial basis functions of minimal degree. Zbl 0904.41013Wendland, Holger 133 1998 Fractal functions and wavelet expansions based on several scaling functions. Zbl 0806.41016Geronimo, Jeffrey S.; Hardin, Douglas P.; Massopust, Peter R. 113 1994 Best proximity pair theorems for multifunctions with open fibres. Zbl 0965.41020Sadiq Basha, S.; Veeramani, P. 111 2000 Local spline approximation methods. Zbl 0315.41011Lyche, Tom; Schumaker, Larry L. 109 1975 Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces. Zbl 1057.41003Guo, Ben-yu; Wang, Li-lian 105 2004 Finite approximation for the Frobenius-Perron operator. A solution to Ulam’s conjecture. Zbl 0357.41011Li, Tien-Yien 104 1976 On polynomials orthogonal with respect to certain Sobolev inner products. Zbl 0734.42016Iserles, Arieh; Koch, P. E.; Nørsett, Syvert P.; Sanz-Serna, J. M. 97 1991 \(q\)-Bernstein polynomials and their iterates. Zbl 1093.41013Ostrovska, Sofiya 95 2003 Some new characterizations of the Chebyshev polynomials. Zbl 0291.33012Micchelli, C. A.; Rivlin, T. J. 92 1974 Sur l’approximation de fonctions intégrables sur l’interval-0,1-ferme par des polynômes de Bernstein modifies. Zbl 0475.41025Derriennic, Marie Madeleine 90 1981 Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation. Zbl 0764.41003Madych, W. R.; Nelson, S. A. 89 1992 The calculus of fractal interpolation functions. Zbl 0693.41008Barnsley, Michael F.; Harrington, Andrew N. 87 1989 On the Hyers-Ulam stability of \(\psi\)-additive mappings. Zbl 0770.41018Isac, George; Rassias, Themistocles M. 85 1993 Vector cascade algorithms and refinable function vectors in Sobolev spaces. Zbl 1028.42019Han, Bin 83 2003 Convergence of generalized Bernstein polynomials. Zbl 0999.41007Il’inskii, Alexander; Ostrovska, Sofiya 81 2002 Convergence of best approximations in a smooth Banach space. Zbl 0545.41042Tsukada, Makoto 79 1984 Greedy algorithm for general biorthogonal systems. Zbl 0974.65053Wojtaszczyk, P. 75 2000 An identity for spline functions with applications to variation diminishing spline approximation. Zbl 0192.42103Marsden, M. J. 75 1970 Cardinal interpolation and spline functions. Zbl 0202.34803Schoenberg, I. J. 75 1969 New results on the equilibrium measure for logarithmic potentials in the presence of an external field. Zbl 0918.31001Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R. 74 1998 Asymptotics of diagonal Hermite-Padé polynomials. Zbl 0565.41015Nuttall, J. 74 1984 Metric entropy of some classes of sets with differentiable boundaries. Zbl 0275.41011Dudley, R. M. 67 1974 Sparse Legendre expansions via \(\ell_1\)-minimization. Zbl 1239.65018Rauhut, Holger; Ward, Rachel 65 2012 Finding best approximation pairs relative to two closed convex sets in Hilbert spaces. Zbl 1050.46021Bauschke, Heinz H.; Combettes, Patrick L.; Luke, D. Russell 64 2004 On error bounds for spline interpolation. Zbl 0177.08902Hall, C. A. 64 1968 Strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space. Zbl 1137.47056Plubtieng, Somyot; Ungchittrakool, Kasamsuk 63 2007 Inequalities for a polynomial and its derivative. Zbl 0663.41019Aziz, Abdul; Dawood, Q. M. 61 1988 Optimal error bounds for cubic spline interpolation. Zbl 0316.41007Hall, Charles A. 61 1976 On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces. Zbl 0307.46007Figiel, T.; Johnson, W. B.; Tzafriri, L. 60 1975 An extension of Bochner’s problem: exceptional invariant subspaces. Zbl 1214.34079Gómez-Ullate, David; Kamran, Niky; Milson, Robert 59 2010 Korovkin-type theorem and application. Zbl 1118.41015Wang, Heping 57 2005 Determination of all coherent pairs. Zbl 0880.42012Meijer, H. G. 57 1997 Equioscillation under nonuniqueness in the approximation of continuous functions. Zbl 0199.11701Jones, R. C.; Karlovitz, L. A. 57 1970 Orthogonal matrix polynomials: zeros and Blumenthal’s theorem. Zbl 0861.42016Duran, Antonio J.; Lopez-Rodriguez, Pedro 56 1996 Common fixed points and best approximation. Zbl 0858.41022Al-Thagafi, M. A. 56 1996 A stable recurrence relation for trigonometric B-splines. Zbl 0414.41005Lyche, T.; Winther, R. 55 1979 Approximation by periodic spline interpolants on uniform meshes. Zbl 0185.30901Golomb, M. 54 1968 Dykstra’s alternating projection algorithm for two sets. Zbl 0833.46011Bauschke, H. H.; Borwein, J. M. 53 1994 Degree of approximation by monotone polynomials. I. Zbl 0172.07901Lorentz, G. G.; Zeller, K. L. 53 1968 Error bounds for spline and L-spline interpolation. Zbl 0242.41008Swartz, Blair K.; Varga, Richard S. 53 1972 The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients. Zbl 0967.33009Kuijlaars, A. B. J.; Van Assche, W. 52 1999 Orthogonal polynomials with asymptotically periodic recurrent coefficients. Zbl 0604.42023Geronimo, J. S.; Van Assche, Walter 52 1986 Polynomial interpolation and hyperinterpolation over general regions. Zbl 0839.41006Sloan, Ian H. 51 1995 Norm estimates for the inverses of a general class of scattered-data radial-function interpolation matrices. Zbl 0756.41004Narcowich, Francis J.; Ward, Joseph D. 51 1992 The convexity of Bernstein polynomials over triangles. Zbl 0528.41005Chang, Gengzhe; Davis, Philip J. 50 1984 Compactly supported shearlets are optimally sparse. Zbl 1226.42031Kutyniok, Gitta; Lim, Wang-Q 50 2011 \(p\)-adic refinable functions and MRA-based wavelets. Zbl 1205.42031Khrennikov, A. Yu.; Shelkovich, V. M.; Skopina, M. 50 2009 Approximation by Ridge functions and neural networks with one hidden layer. Zbl 0768.41018Chui, Charles K.; Li, Xin 49 1992 An application of a fixed-point theorem to approximation theory. Zbl 0399.41032Singh, S. P. 49 1979 Almost convergence and nonlinear ergodic theorems. Zbl 0404.47032Reich, Simeon 49 1978 Approximation spaces. Zbl 0489.47008Pietsch, Albrecht 48 1981 Chebyshev rational approximations to \(e^{-x}\) in \([0,+\infty)\) and applications to heat-conduction problems. Zbl 0187.11602Cody, W. J.; Meinardus, G.; Varga, R. S. 48 1969 Smooth interpolation in triangles. Zbl 0271.41002Barnhill, R. E.; Birkhoff, G.; Gordon, W. J. 48 1973 Approximation properties and construction of Hermite interpolants and biorthogonal multiwavelets. Zbl 0986.42020Han, Bin 47 2001 The convergence of Padé approximants to functions with branch points. Zbl 0896.41009Stahl, Herbert 47 1997 Lipschitz conditions on uniform approximation operators. Zbl 0274.41022Cline, A. K. 47 1973 Polynomial reproduction for univariate subdivision schemes of any arity. Zbl 1211.65022Conti, Costanza; Hormann, Kai 47 2011 Polyharmonic cardinal splines. Zbl 0702.41020Madych, W. R.; Nelson, S. A. 46 1990 On some open problems of approximation theory. Zbl 0454.41001Turán, Pál 46 1980 Bivariate Lagrange interpolation at the Padua points: the generating curve approach. Zbl 1113.41001Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco; Xu, Yuan 46 2006 Generalized orthogonality and continued fractions. Zbl 0846.33005Ismail, Mourad E. H.; Masson, David R. 45 1995 Approximations via Whittaker’s cardinal function. Zbl 0332.41013Stenger, Frank 45 1976 Cardinal interpolation and spline functions. II: Interpolation of data of power growth. Zbl 0268.41004Schoenberg, I. J. 45 1972 Wavelets and pre-wavelets in low dimensions. Zbl 0772.41019Riemenschneider, Sherman D.; Shen, Zuowei 44 1992 Uniform approximation by discrete least squares polynomials. Zbl 1145.41001Calvi, Jean-Paul; Levenberg, Norman 44 2008 On uniform approximation by splines. Zbl 0193.02502de Boor, Carl 44 1968 Estimates of the Hermite and the Freud polynomials. Zbl 0716.42018Bonan, Stanford S.; Clark, Dean S. 44 1990 Norms of inverses and condition numbers for matrices associated with scattered data. Zbl 0724.41004Narcowich, Francis J.; Ward, Joseph D. 44 1991 Fixed point theorems and invariant approximations. Zbl 0673.41037Habiniak, Leopold 43 1989 Painlevé III and a singular linear statistics in Hermitian random matrix ensembles. I. Zbl 1189.33035Chen, Yang; Its, Alexander 43 2010 Monotonicity properties of Musielak-Orlicz spaces and dominated best approximation in Banach lattices. Zbl 0921.41015Hudzik, H.; Kurc, W. 42 1998 \(L_p\) metrics for compact convex sets. Zbl 0595.52005Vitale, Richard A. 42 1985 On the rate of convergence of Bernstein polynomials of functions of bounded variation. Zbl 0533.41020Cheng, Fuhua 42 1983 Local sharp maximal functions. Zbl 0565.42009Jawerth, B.; Torchinsky, A. 42 1985 Polynomial approximation on tetrahedrons in the finite element method. Zbl 0279.41005Zenisek, Alexander 42 1973 On Markov-Bernstein-type inequalities and their applications. Zbl 0356.41003Freud, Geza 42 1977 Lagrange interpolation on Chebyshev points of two variables. Zbl 0864.41002Xu, Yuan 41 1996 Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei 41 2008 Strictly and uniformly monotone Musielak-Orlicz spaces and applications to best approximation. Zbl 0749.41031Kurc, W. 41 1992 A global inverse theorem for combinations of Bernstein polynomials. Zbl 0444.41006Ditzian, Z. 41 1979 Iteration of positive approximation operators. Zbl 0199.44702Karlin, S.; Ziegler, Z. 41 1970 The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle. Zbl 1307.49030Bauschke, Heinz H.; Bello Cruz, J. Y.; Nghia, Tran T. A.; Phan, Hung M.; Wang, Xianfu 41 2014 Generalized refinement equations and subdivision processes. Zbl 0823.45001Derfel, G.; Dyn, N.; Levin, D. 40 1995 The eigenstructure of the Bernstein operator. Zbl 0963.41006Cooper, Shaun; Waldron, Shayne 40 2000 Properties of \(\beta\)-splines. Zbl 0569.41010Goodman, T. N. T. 40 1985 Ul’yanov and Nikol’skii-type inequalities. Zbl 1069.41014Ditzian, Z.; Tikhonov, S. 39 2005 The rate of convergence of \(q\)-Bernstein polynomials for \(0<q<1\). Zbl 1082.41007Wang, Heping; Meng, Fanjun 39 2005 Characterizations of strong unicity in approximation theory. Zbl 0273.41019Bartelt, M. W.; McLaughlin, H. W. 39 1973 An extension of Montessus de Ballore’s theorem on the convergence of interpolating rational functions. Zbl 0241.30013Saff, E. B. 39 1972 A generalization of Favard’s theorem for polynomials satisfying a recurrence relation. Zbl 0789.41017Duran, Antonio J. 38 1993 A recurrence formula for generalized divided differences and some applications. Zbl 0273.41026Mühlbach, G. 38 1973 Voronovskaya-type formulas and saturation of convergence for \(q\)-Bernstein polynomials for \(0 < q < 1\). Zbl 1112.41016Wang, Heping 38 2007 Fractal interpolation functions with variable parameters and their analytical properties. Zbl 1303.28014Wang, Hong-Yong; Yu, Jia-Shan 38 2013 Ratio asymptotics for orthogonal matrix polynomials. Zbl 0944.42015Duran, Antonio J. 37 1999 A novel class of stabilized greedy kernel approximation algorithms: convergence, stability and uniform point distribution. Zbl 1458.65018Wenzel, Tizian; Santin, Gabriele; Haasdonk, Bernard 1 2021 The matching condition for larger size Riemann-Hilbert problems. Zbl 1456.30070Molag, L. D. 1 2021 Weighted embeddings for function spaces associated with Hermite expansions. Zbl 07324357Bui, The Anh; Li, Ji; Ly, Fu Ken 1 2021 Approximating the \(p\)th root by composite rational functions. Zbl 07355204Gawlik, Evan S.; Nakatsukasa, Yuji 1 2021 Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\). Zbl 1450.41004Kolomoitsev, Yurii; Tikhonov, Sergey 5 2020 Identification of anisotropic mixed-norm Hardy spaces and certain homogeneous Triebel-Lizorkin spaces. Zbl 1448.42030Huang, Long; Liu, Jun; Yang, Dachun; Yuan, Wen 4 2020 Exact asymptotic volume and volume ratio of Schatten unit balls. Zbl 1458.46011Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 4 2020 Dimension-dependent error estimates for sampling recovery on Smolyak grids based on B-spline quasi-interpolation. Zbl 1431.41003Dũng, Dinh; Thao, Mai Xuan 3 2020 Sharp constants of approximation theory. III. Certain polynomial inequalities of different metrics on convex sets. Zbl 1435.41011Ganzburg, Michael I. 3 2020 Corrigendum on the proof of completeness for exceptional Hermite polynomials: “Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials”. Zbl 1441.81087Gómez-Ullate, David; Grandati, Yves; Milson, Robert 3 2020 The limiting behavior of certain sampling series and cardinal splines. Zbl 1434.94044Madych, W. R. 2 2020 EC-tractability of \(\mathbb{L}_p\)-approximation in Korobov spaces with exponential weights. Zbl 1429.41032Xu, Guiqiao 2 2020 On some classical type Sobolev orthogonal polynomials. Zbl 1454.42025Zagorodnyuk, Sergey M. 2 2020 Reverse Markov- and Bernstein-type inequalities for incomplete polynomials. Zbl 1434.41004Erdélyi, Tamás 2 2020 Multivariate bounded variation functions of Jordan-Wiener type. Zbl 1436.26012Brudnyi, Alexander; Brudnyi, Yuri 2 2020 Hermite pseudo-multipliers on new Besov and Triebel-Lizorkin spaces. Zbl 1437.42032Bui, The Anh 2 2020 Corrigendum to the papers on exceptional orthogonal polynomials: “Exceptional Charlier and Hermite orthogonal polynomials”, “Exceptional Meixner and Laguerre orthogonal polynomials”, “Exceptional Hahn and Jacobi orthogonal polynomials”. Zbl 1443.42016Durán, Antonio J. 2 2020 Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class. Zbl 1440.42115Aptekarev, Alexander I.; Kozhan, Rostyslav 2 2020 Simultaneous zero-free approximation and universal optimal polynomial approximants. Zbl 1443.30002Bénéteau, Catherine; Ivrii, Oleg; Manolaki, Myrto; Seco, Daniel 2 2020 Error analysis of Lagrange interpolation on tetrahedrons. Zbl 07135029Kobayashi, Kenta; Tsuchiya, Takuya 1 2020 Constructive description of Hölder-like classes on an arc in \(\mathbb{R}^3\) by means of harmonic functions. Zbl 1429.41014Alexeeva, Tatyana A.; Shirokov, Nikolay A. 1 2020 Nikishin systems on star-like sets: ratio asymptotics of the associated multiple orthogonal polynomials. II. Zbl 1440.42121López-García, Abey; López Lagomasino, Guillermo 1 2020 Two double-angle formulas of generalized trigonometric functions. Zbl 1431.33022Sato, Shota; Takeuchi, Shingo 1 2020 The Eneström-Kakeya theorem for polynomials of a quaternionic variable. Zbl 1441.30070Carney, N.; Gardner, R.; Keaton, R.; Powers, A. 1 2020 Sobolev functions on closed subsets of the real line. Zbl 1443.46023Shvartsman, Pavel 1 2020 Sharp \(L_p\) Markov type inequality for cuspidal domainsin \(\mathbb{R}^d\). Zbl 1431.41005Kroó, András 1 2020 Elastic splines III: existence of stable nonlinear splines. Zbl 1434.41003Borbély, Albert; Johnson, Michael J. 1 2020 Corrigendum to “Strong estimates of the weighted simultaneous approximation by the Bernstein and Kantorovich operators and their iterated Boolean sums”. Zbl 07169726Draganov, Borislav R. 1 2020 On the optimal relationships between \(L^P\)-norms for the Hardy operator and its dual for decreasing functions. Zbl 1435.26014Kolyada, V. I. 1 2020 Extremal problems for polynomials with real roots. Zbl 1431.12001Dubickas, Artūras; Pritsker, Igor 1 2020 Dimension independent Bernstein-Markov inequalities in Gauss space. Zbl 07179646Eskenazis, Alexandros; Ivanisvili, Paata 1 2020 Asymptotics of the generalized Gegenbauer functions of fractional degree. Zbl 1435.30123Liu, Wenjie; Wang, Li-Lian 1 2020 The spectral matrices associated with the stochastic Darboux transformations of random walks on the integers. Zbl 1455.60095de la Iglesia, Manuel D.; Juarez, Claudia 1 2020 On the Widom factors for \(L_p\) extremal polynomials. Zbl 1452.41003Alpan, Gökalp; Zinchenko, Maxim 1 2020 Multiply monotone functions for radial basis function interpolation: extensions and new kernels. Zbl 1441.41001Buhmann, Martin; Jäger, Janin 1 2020 Zero spacings of paraorthogonal polynomials on the unit circle. Zbl 1440.42123Simanek, Brian 1 2020 Pólya-type criteria for conditional strict positive definiteness of functions on spheres. Zbl 1446.41001Buhmann, Martin; Jäger, Janin 1 2020 A higher order Faber spline basis for sampling discretization of functions. Zbl 1444.42035Derevianko, Nadiia; Ullrich, Tino 1 2020 An asymptotic holomorphic boundary problem on arbitrary open sets in Riemann surfaces. Zbl 1452.30020Falcó, Javier; Gauthier, Paul M. 1 2020 Functions with identical \(L_p\) norms. Zbl 1446.41004Erdélyi, Tamás 1 2020 Sampling, Marcinkiewicz-Zygmund inequalities, approximation, and quadrature rules. Zbl 1446.41005Gröchenig, Karlheinz 1 2020 Inverse results of approximation and the saturation order for the sampling Kantorovich series. Zbl 1416.41019Costarelli, Danilo; Vinti, Gianluca 13 2019 Exceptional Jacobi polynomials. Zbl 1410.33026Bonneux, Niels 10 2019 Relevant sampling in finitely generated shift-invariant spaces. Zbl 1435.94106Führ, Hartmut; Xian, Jun 8 2019 Discrete and continuous Green energy on compact manifolds. Zbl 1402.31005Beltrán, Carlos; Corral, Nuria; del Rey, Juan G. Criado 7 2019 Improved estimates for condition numbers of radial basis function interpolation matrices. Zbl 1407.41003Diederichs, Benedikt; Iske, Armin 7 2019 Optimal stability of the Lagrange formula and conditioning of the Newton formula. Zbl 1407.41002Carnicer, J. M.; Khiar, Y.; Peña, J. M. 6 2019 Average case tractability of multivariate approximation with Gaussian kernels. Zbl 1435.41035Chen, Jia; Wang, Heping 4 2019 Characterizing best approximation from a convex set without convex representation. Zbl 1407.41012Jeyakumar, V.; Mohebi, H. 4 2019 Limiting interpolation spaces via extrapolation. Zbl 1421.46023Astashkin, Sergey V.; Lykov, Konstantin V.; Milman, Mario 4 2019 Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach spaces. Zbl 1423.46102Besoy, Blanca F.; Cobos, Fernando 4 2019 Comparison of probabilistic and deterministic point sets on the sphere. Zbl 1409.41013Grabner, Peter J.; Stepanyuk, Tetiana A. 3 2019 Central limit theorems for multivariate Bessel processes in the freezing regime. Zbl 1432.60092Voit, Michael 3 2019 Averaging operators on decreasing or positive functions: equivalence and optimal bounds. Zbl 1412.26034Boza, Santiago; Soria, Javier 3 2019 New “Verblunsky-type” coefficients of block Toeplitz and Hankel matrices and of corresponding Dirac and canonical systems. Zbl 1403.15019Sakhnovich, Alexander 3 2019 Best polynomial approximation on the triangle. Zbl 1414.41018Feng, Han; Krattenthaler, Christian; Xu, Yuan 3 2019 Equilibrium problems in weakly admissible external fields created by pointwise charges. Zbl 1418.31011Orive, R.; Sánchez Lara, J. F.; Wielonsky, F. 3 2019 Sharp exponential bounds for the Gaussian regularized Whittaker-Kotelnikov-Shannon sampling series. Zbl 1428.62042Chen, Liang; Zhang, Haizhang 3 2019 Lagrange interpolation at Pollaczek-Laguerre zeros on the real semiaxis. Zbl 1423.41002Mastroianni, G.; Notarangelo, I. 3 2019 Boundary conditions associated with the general left-definite theory for differential operators. Zbl 07015415Fleeman, Matthew; Frymark, Dale; Liaw, Constanze 2 2019 Lattice rules with random \(n\) achieve nearly the optimal \(\mathcal{O}(n^{-\alpha-1/2})\) error independently of the dimension. Zbl 07033190Kritzer, Peter; Kuo, Frances Y.; Nuyens, Dirk; Ullrich, Mario 2 2019 Recovery algorithms for high-dimensional rank one tensors. Zbl 1405.41023Krieg, David; Rudolf, Daniel 2 2019 On the approximation of functions with line singularities by ridgelets. Zbl 1407.65023Obermeier, Axel; Grohs, Philipp 2 2019 Smooth fixed volume discrepancy, dispersion, and related problems. Zbl 1410.65073Temlyakov, V. N. 2 2019 Markov factors on average – an \(L_2\) case. Zbl 07043335Bos, Len 2 2019 Best finite constrained approximations of one-dimensional probabilities. Zbl 1426.41037Xu, Chuang; Berger, Arno 2 2019 Szegő’s condition on compact subsets of \(\mathbb{C}\). Zbl 1435.31003Alpan, Gökalp 2 2019 Approximation of multivariate periodic functions based on sampling along multiple rank-1 lattices. Zbl 1455.65240Kämmerer, Lutz; Volkmer, Toni 2 2019 Central limit theorems for multivariate Bessel processes in the freezing regime. II. The covariance matrices. Zbl 1461.60086Andraus, Sergio; Voit, Michael 2 2019 The weighted property (A) and the greedy algorithm. Zbl 1440.46011Berná, P. M.; Dilworth, S. J.; Kutzarova, D.; Oikhberg, T.; Wallis, B. 2 2019 Approximation of univalent mappings by automorphisms and quasiconformal diffeomorphismsin \(\mathbb{C}^n\). Zbl 1417.32010Hamada, H.; Iancu, M.; Kohr, G. 1 2019 Simultaneous approximation by Bernstein polynomials with integer coefficients. Zbl 1403.41002Draganov, Borislav R. 1 2019 A note on continuous sums of ridge functions. 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Zbl 1381.42036López-García, Abey; López Lagomasino, Guillermo 3 2018 ...and 1521 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 13,618 Authors 133 Marcellán Español, Francisco 110 Lubinsky, Doron S. 76 Dunham, Charles B. 70 Saff, Edward Barry 70 Van Assche, Walter 62 Chui, Charles Kam-tai 59 Duran, Antonio J. 55 Kumam, Poom 53 Kuijlaars, Arno B. J. 53 Totik, Vilmos 52 Ditzian, Zeev 52 Leviatan, Dany 51 Gupta, Vijay 51 Mastroianni, Giuseppe 48 Butzer, Paul Leo 48 Erdélyi, Tamás 48 Eshaghi Gordji, Madjid 48 Ismail, Mourad El-Houssieny 48 Park, Choonkil 48 Sloan, Ian Hugh 47 López Lagomasino, Guillermo Tomás 47 Mazure, Marie-Laurence 47 Shahzad, Naseer 46 Mhaskar, Hrushikesh N. 45 Li, Chong 45 Vinti, Gianluca 44 Costarelli, Danilo 44 Peherstorfer, Franz 43 Rasa, Ioan 43 Rassias, John Michael 43 Wang, Heping 43 Xu, Yuan 42 Chand, Arya Kumar Bedabrata 42 Woźniakowski, Henryk 41 Dyn, Nira 40 Bauschke, Heinz H. 40 Kroó, András 39 Cao, Feilong 39 Martínez-Finkelshtein, Andrei 39 Simon, Barry 39 Takahashi, Wataru 38 Schumaker, Larry L. 38 Weisz, Ferenc 37 Dai, Feng 37 Goginava, Ushangi 37 Goodman, Timothy N. T. 37 Micchelli, Charles A. 37 Nürnberger, Günther 37 Serra-Capizzano, Stefano 37 Tikhonov, Sergey Yur’evich 36 Deutsch, Frank 36 Gonska, Heinz Herbert 36 Shi, Yingguang 35 Anastassiou, George Angelos 35 Aptekarev, Alexander Ivanovich 35 Han, Bin 35 Temlyakov, Vladimir Nikolaevich 35 Ward, Joseph Dinneen 35 Wasilkowski, Grzegorz W. 35 Yao, Jen-Chih 34 Agarwal, Ravi P. 34 Bardaro, Carlo 34 Hudzik, Henryk 34 Nevai, Paul G. 33 Abel, Ulrich 33 Bultheel, Adhemar François 33 Ding, Jiu 33 Njåstad, Olav 33 Piñar, Miguel A. 32 Cobos, Fernando 32 Cuyt, Annie A. M. 32 Moreno-Balcázar, Juan José 32 Varga, Richard Steven 31 Cho, Yeol Je 31 Chu, Yuming 31 Manni, Carla 31 Viswanathan, Puthan Veedu 30 Bos, Len P. 30 Conti, Costanza 30 Milovanović, Gradimir V. 30 Reich, Simeon 30 Vianello, Marco 29 Blatt, Hans-Peter 29 Carnicer, Jésus Miguel 29 Driver, Kathy A. 29 Guo, Ben-Yu 29 Li, Song 29 Mir, Abdullah 29 Peña, Juan Manuel 29 Sickel, Winfried 29 Taylor, Gerald D. 28 de Boor, Carl 28 Li, Yunzhang 28 Mantellini, Ilaria 28 Navascués, María Antonia 28 Ostrovska, Sofiya 28 Shen, Zuowei 28 Sommer, Manfred 28 Speleers, Hendrik 28 Swetits, John J. ...and 13,518 more Authors all top 5 Cited in 844 Journals 2,796 Journal of Approximation Theory 966 Journal of Mathematical Analysis and Applications 879 Journal of Computational and Applied Mathematics 406 Constructive Approximation 386 Applied Mathematics and Computation 291 Numerical Functional Analysis and Optimization 285 Proceedings of the American Mathematical Society 283 Numerische Mathematik 254 Mathematics of Computation 245 Computers & Mathematics with Applications 232 Numerical Algorithms 222 Computer Aided Geometric Design 205 Mathematical Notes 202 Applied and Computational Harmonic Analysis 198 Journal of Functional Analysis 194 Advances in Computational Mathematics 179 Linear Algebra and its Applications 177 Abstract and Applied Analysis 175 Transactions of the American Mathematical Society 174 Journal of Complexity 172 Results in Mathematics 164 Acta Mathematica Hungarica 161 Journal of Inequalities and Applications 157 Fixed Point Theory and Applications 156 Applied Numerical Mathematics 156 The Journal of Fourier Analysis and Applications 149 Nonlinear Analysis. 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Theory, Methods & Applications 41 Siberian Mathematical Journal 40 International Journal of Mathematics and Mathematical Sciences 40 SIAM Journal on Numerical Analysis 39 Journal of Differential Equations 39 Journal of Fixed Point Theory and Applications 38 Journal of Statistical Planning and Inference 38 Journal of Global Optimization 38 SIAM Journal on Scientific Computing 38 Advances in Difference Equations 38 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 37 Fractals 35 Periodica Mathematica Hungarica 35 Russian Mathematics 35 Comptes Rendus. Mathématique. Académie des Sciences, Paris 35 Optimization Letters 34 Mathematics and Computers in Simulation 34 Statistics & Probability Letters 34 The Journal of Geometric Analysis 34 Journal of Applied Mathematics 34 Banach Journal of Mathematical Analysis 33 The Annals of Statistics 33 Journal of Multivariate Analysis ...and 744 more Journals all top 5 Cited in 61 Fields 7,514 Approximations and expansions (41-XX) 4,525 Numerical analysis (65-XX) 3,361 Harmonic analysis on Euclidean spaces (42-XX) 2,293 Operator theory (47-XX) 2,237 Functional analysis (46-XX) 1,875 Special functions (33-XX) 1,519 Functions of a complex variable (30-XX) 962 Real functions (26-XX) 877 Partial differential equations (35-XX) 758 Probability theory and stochastic processes (60-XX) 617 Ordinary differential equations (34-XX) 598 Operations research, mathematical programming (90-XX) 552 Difference and functional equations (39-XX) 539 Linear and multilinear algebra; matrix theory (15-XX) 537 Statistics (62-XX) 523 Information and communication theory, circuits (94-XX) 430 Computer science (68-XX) 413 Calculus of variations and optimal control; optimization (49-XX) 369 Number theory (11-XX) 345 Measure and integration (28-XX) 339 General topology (54-XX) 278 Integral equations (45-XX) 277 Convex and discrete geometry (52-XX) 259 Dynamical systems and ergodic theory (37-XX) 236 Potential theory (31-XX) 232 Quantum theory (81-XX) 231 Integral transforms, operational calculus (44-XX) 226 Combinatorics (05-XX) 220 Abstract harmonic analysis (43-XX) 212 Sequences, series, summability (40-XX) 175 Several complex variables and analytic spaces (32-XX) 168 Mechanics of deformable solids (74-XX) 168 Statistical mechanics, structure of matter (82-XX) 154 Fluid mechanics (76-XX) 152 Systems theory; control (93-XX) 115 Global analysis, analysis on manifolds (58-XX) 113 Biology and other natural sciences (92-XX) 106 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 73 Differential geometry (53-XX) 61 Topological groups, Lie groups (22-XX) 54 History and biography (01-XX) 50 Algebraic geometry (14-XX) 46 Mathematical logic and foundations (03-XX) 42 Optics, electromagnetic theory (78-XX) 42 Geophysics (86-XX) 37 Group theory and generalizations (20-XX) 35 Order, lattices, ordered algebraic structures (06-XX) 35 Field theory and polynomials (12-XX) 34 Geometry (51-XX) 29 Classical thermodynamics, heat transfer (80-XX) 25 Commutative algebra (13-XX) 24 General and overarching topics; collections (00-XX) 23 Mechanics of particles and systems (70-XX) 21 Nonassociative rings and algebras (17-XX) 14 Associative rings and algebras (16-XX) 12 Algebraic topology (55-XX) 12 Relativity and gravitational theory (83-XX) 8 Manifolds and cell complexes (57-XX) 6 Mathematics education (97-XX) 5 Category theory; homological algebra (18-XX) 5 Astronomy and astrophysics (85-XX) Citations by Year