# zbMATH — the first resource for mathematics

## Approximation Theory and its Applications

 Short Title: Approximation Theory Appl. Publisher: Nanjing University, Nanjing; Kluwer Academic Publishers, Dordrecht ISSN: 1000-9221 Online: http://ckrd85.cnki.net/kns50/Navi/item.aspx?NaviID=1&BaseID=BJYY&NaviLink=%e6%a3%80%e7%b4%a2%3aanalysis-%2fkns50%2fNavi%2flist.aspx%3fNaviID%3d1%26Field%3dcykm%5ee_name%26Value%3danalysis*%253fanalysis%7cAnalysis+in+Theory+and+Applications Predecessor: Approximation Theory and its Applications Successor: Analysis in Theory and Applications Comments: No longer indexed
 Documents Indexed: 629 Publications (1986–2002) References Indexed: 1 Publication with 6 References.
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#### Latest Issues

 18, No. 4 (2002) 18, No. 3 (2002) 18, No. 2 (2002) 18, No. 1 (2002) 17, No. 4 (2001) 17, No. 3 (2001) 17, No. 2 (2001) 17, No. 1 (2001) 16, No. 4 (2000) 16, No. 3 (2000) 16, No. 2 (2000) 16, No. 1 (2000) 15, No. 4 (1999) 15, No. 3 (1999) 15, No. 2 (1999) 15, No. 1 (1999) 14, No. 4 (1998) 14, No. 3 (1998) 14, No. 2 (1998) 14, No. 1 (1998) 13, No. 4 (1997) 13, No. 3 (1997) 13, No. 2 (1997) 13, No. 1 (1997) 12, No. 4 (1996) 12, No. 3 (1996) 12, No. 2 (1996) 12, No. 1 (1996) 11, No. 4 (1995) 11, No. 3 (1995) 11, No. 2 (1995) 11, No. 1 (1995) 10, No. 4 (1994) 10, No. 3 (1994) 10, No. 2 (1994) 10, No. 1 (1994) 9, No. 4 (1993) 9, No. 3 (1993) 9, No. 2 (1993) 9, No. 1 (1993) 8, No. 4 (1992) 8, No. 3 (1992) 8, No. 2 (1992) 8, No. 1 (1992) 7, No. 4 (1991) 7, No. 3 (1991) 7, No. 2 (1991) 7, No. 1 (1991) 6, No. 4 (1990) 6, No. 3 (1990) 6, No. 2 (1990) 6, No. 1 (1990) 5, No. 4 (1989) 5, No. 3 (1989) 5, No. 2 (1989) 5, No. 1 (1989) 4, No. 4 (1988) 4, No. 3 (1988) 4, No. 2 (1988) 4, No. 1 (1988) 3, No. 4 (1987) 3, No. 2-3 (1987) 3, No. 1 (1987) 2, No. 4 (1986) 2, No. 3 (1986) 2, No. 2 (1986) 2, No. 1 (1986)
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#### Authors

 13 Yang, Dachun 11 Lu, Shanzhen 11 Shi, Yingguang 10 Chui, Charles Kam-tai 10 Dunham, Charles B. 9 Su, Weiyi 8 Hu, Guoen 8 Liu, Yongping 8 Shen, Xiechang 8 Zhou, Songping 7 Guo, Shunsheng 7 Huang, Daren 7 Sun, Yongsheng 7 Zhang, Peixuan 6 Chen, Wenzhong 6 Jódar Sanchez, Lucas Antonio 6 Lou, Yuanren 6 Sharma, Ambikeshwar 6 Sun, Xiehua 6 Xu, Shusheng 6 Yu, Xiangming 5 Anastassiou, George Angelos 5 Argyros, Ioannis Konstantinos 5 Defez, Emilio 5 Gupta, Vijay 5 Liu, Heping 5 Peng, Lizhong 5 Sun, Limin 5 Xie, Tingfan 5 Zhou, Xinlong 4 Chen, Hanlin 4 Fang, Gensun 4 Jiang, Yinsheng 4 Shi, Xianliang 4 Sun, Qiyu 4 Wang, Shiming 4 Zhou, Dingxuan 3 Abel, Ulrich 3 Beg, Ismat 3 Christensen, Ole 3 de la Sen, Manuel 3 Khan, Abdul Rahim 3 Lai, Mingjun 3 Legg, David A. 3 Li, Bingzheng 3 Li, Chong 3 Li, Zhongkai 3 Lu, Xuguang 3 Mu, Lehua 3 Sablonnière, Paul 3 Shahzad, Naseer 3 Sheng, Shuyun 3 Song, Wenhua 3 Szabados, Jozsef 3 Townsend, Douglas W. 3 Wang, Kunyang 3 Wang, Renhong 3 Wang, Ziyu 3 Weisz, Ferenc 3 Wu, Garidi 3 Xie, Linsen 3 Xie, Siqing 3 Zhou, Guangcai 3 Zhu, Laiyi 3 Zhu, Xuexian 3 Zhu, Yueping 2 Brosowski, Bruno 2 Çavuş, Abdullah 2 Chen, Dirong 2 Chen, Guoliang 2 Chen, Jiecheng 2 Chen, Wengu 2 Dagnino, Catterina 2 Dahmen, Wolfgang A. 2 Dai, Feng 2 Della Vecchia, Biancamaria 2 Deng, Donggao 2 Dubeau, François 2 Fan, Dashan 2 Goodman, Timothy N. T. 2 Han, Yongsheng 2 He, Jiaxing 2 He, Tianxiao 2 Heilmann, Margareta 2 Hong, Dong 2 Horwitz, Alan L. 2 Hsu, Leetsch Charles 2 Hu, Yingsheng 2 Huotari, Robert 2 Hussain, Nawab 2 Jiang, Huikun 2 Jiang, Yuanlin 2 Kamont, Anna 2 Lenze, Burkhard 2 Li, Cuixiang 2 Li, Song 2 Li, Wenming 2 Lin, Chincheng 2 Lindner, Alexander M. 2 Liu, Jianming ...and 437 more Authors
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#### Fields

 387 Approximations and expansions (41-XX) 157 Harmonic analysis on Euclidean spaces (42-XX) 42 Functional analysis (46-XX) 40 Numerical analysis (65-XX) 30 Functions of a complex variable (30-XX) 27 Abstract harmonic analysis (43-XX) 27 Operator theory (47-XX) 12 Measure and integration (28-XX) 11 Special functions (33-XX) 11 Ordinary differential equations (34-XX) 9 Partial differential equations (35-XX) 8 Integral transforms, operational calculus (44-XX) 7 Sequences, series, summability (40-XX) 7 Information and communication theory, circuits (94-XX) 6 Probability theory and stochastic processes (60-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Real functions (26-XX) 5 Systems theory; control (93-XX) 4 Number theory (11-XX) 4 Integral equations (45-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

251 Publications have been cited 1,304 times in 1,154 Documents Cited by Year
Hermite-Birkhoff interpolation of scatterd data by radial basis functions. Zbl 0757.41009
Wu, Zongmin
1992
Multivariate interpolation and conditionally positive definite functions. Zbl 0703.41008
Madych, W. R.; Nelson, S. A.
1988
The central BMO spaces and Littlewood-Paley operators. Zbl 0857.42009
Lu, Shanzhen; Yang, Dachun
1995
Hermite matrix polynomials and second order matrix differential equations. Zbl 0858.15014
Jódar, L.; Company, R.
1996
Direct and converse results for operators of Baskakov-Durrmeyer type. Zbl 0669.41014
Heilmann, M.
1989
Spaces of bivariate spline functions over triangulation. Zbl 0756.41017
Hong, Dong
1991
A note on modified Baskakov type operators. Zbl 0823.41021
Gupta, Vijay
1994
Notes on degree of approximation of B-continuous and B-differentiable functions. Zbl 0671.41013
Badea, C.; Badea, I.; Cottin, C.; Gonska, Heinz H.
1988
A discrete characterization of Besov spaces. Zbl 0915.46029
Kamont, Anna
1997
Degree of approximation by superpositions of a sigmoidal function. Zbl 0784.41011
Chen, Debao
1993
On Hermite matrix polynomials and Hermite matrix functions. Zbl 0911.15015
Jódar, Lucas; Defez, Emilio
1998
Construction of real-time spline quasi-interpolation schemes. Zbl 0692.41014
Chen, G.; Chui, C. K.; Lai, M. J.
1988
Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials. II. Zbl 1095.42014
Rodríguez, José M.; Romera, Elena; Pestana, Domingo
2002
Compactly supported box-spline wavelets. Zbl 0766.41010
Chui, C. K.; Stöckler, J.; Ward, J. D.
1992
On Stein-Weiss conjugate harmonic function and octonion analytic function. Zbl 0976.31008
Li, Xingming; Peng, Lizhong
2000
Direct and converse approximation theorems for the Shepard operator. Zbl 0798.41017
1991
Embedding theorems on Campanato-Morrey spaces for vector fields of Hörmander type. Zbl 0916.46026
Lu, Guozhen
1998
Asymptotic expansion of the multivariate Bernstein polynomials on a simplex. Zbl 1013.41020
Abel, Ulrich; Ivan, Mircea
2000
A note to the concept of derivatives on local fields. Zbl 0758.11048
Zheng, Weixing; Su, Weiyi; Jiang, Huikun
1990
On a class of quasi-variational inequalities. Zbl 0859.49009
Noor, M. A.
1996
The curl in seven dimensional space and its applications. Zbl 0942.58009
Peng, Lizhong; Yang, Lei
1999
Saturation of the Shepard operators. Zbl 0724.41020
Della Vecchia, B.; Mastroianni, G.; Totik, V.
1990
Some remarks on ridge functions. Zbl 0645.41004
Dahmen, Wolfgang; Micchelli, Charles A.
1987
Interpolation with Lagrange polynomials. A simple proof of Markov inequality and some of its generalizations. Zbl 0817.41012
1992
Markov-Bernstein inequalities revisited. Zbl 0673.41007
Lubinsky, D. S.; Nevai, P.
1987
Irregular wavelet frames and Gabor frames. Zbl 0999.42025
Christensen, Ole; Favier, Sergio; Zó, Felipe
2001
Convergence of double Walsh-Fourier series and Hardy spaces. Zbl 0992.42013
Weisz, Ferenc
2001
Computation of box splines and B-splines on triangulations of nonuniform rectangular partitions. Zbl 0682.41020
Chui, C. K.; Lai, M. J.
1987
Orthogonal matrix polynomials with respect to linear matrix moment functionals: Theory and applications. Zbl 0853.42022
Jódar, L.; Defez, E.; Ponsoda, E.
1996
Asymptotic approximation by Bernstein-Durrmeyer operators and their derivatives. Zbl 0991.41014
Abel, Ulrich
2000
Asymptotic approximation with Kantorovich polynomial. Zbl 0919.41011
Abel, Ulrich
1998
A family of Bernstein quasi-interpolants on $$[0,1]$$. Zbl 0772.41024
Sablonniere, P.
1992
An inverse-free Jarratt type approximation in a Banach space. Zbl 0852.65049
Argyros, I. K.; Chen, Dong; Qian, Q.
1996
Inhomogeneous Besov and Triebel-Lizorkin spaces on spaces of homgeneous type. Zbl 0957.46025
Han, Yongsheng; Lu, Shanzhen; Yang, Dachun
1999
Boundedness of vector-valued operators on weighted Herz spaces. Zbl 0969.42011
Tang, Lin; Yang, Dachun
2000
On the convergence of the modified Szasz-Mirakjan operator. Zbl 0801.41018
Sun, Xiehua
1994
Spline integral operators exact on polynomials. Zbl 0812.41004
Sablonnière, Paul; Sbibih, Driss
1994
Local spline approximation methods for singular product integration. Zbl 0911.65017
Dagnino, Cattarina; Demichelis, V.; Santi, Elisabetta
1996
On the error of quadrature formulae for Cauchy principal value integrals based on piecewise interpolation. Zbl 0894.41019
Köhler, P.
1997
On simultaneous approximation by Lagrange interpolating polynomials. Zbl 0933.41012
Xie, T. F.; Zhou, S. P.
1998
A maximal function characterization of Hardy spaces on spaces of homogeneous type. Zbl 0922.42017
Li, Wenming
1998
Shape preserving approximation using least squares splines. Zbl 0983.41009
Beliakov, Gleb
2000
Strict approximation on closed convex sets. Zbl 0729.41030
Marano, M.
1990
The embedding theory of native spaces. Zbl 1020.46004
Luh, Lin Tian
2001
Characterization of convergent subdivision schemes. Zbl 0935.42024
Zhou, Xinlong
1998
Lower bounds for finite wavelet and Gabor systems. Zbl 0982.42020
Christensen, Ole; Lindner, Alexander M.
2001
The equivalence theory of native spaces. Zbl 1003.46016
Luh, Lin-Tian
2001
The Hausdorff centred measure of the symmetry Cantor sets. Zbl 1032.28004
Zhu, Zhiwei; Zhou, Zuoling
2002
Some exact solutions of the Kolmogorov boundary value problem. Zbl 0666.60080
Letessier, J.; Valent, G.
1988
Newton-like methods in partially ordered Banach spaces. Zbl 0773.65039
Argyros, I. K.
1993
Characterization of best simultaneous approximation. Zbl 0676.41023
Xu, Shiying; Li, Chong
1987
On polynomial approximations to $$f_ a(z)(z-a)^{-1}$$ with complex a and some applications to certain non-Hermitian matrices. Zbl 0693.41009
Freund, R.
1989
An extension of Brosowski-Meinardus theorem on invariant approximation. Zbl 0856.41023
Khan, L. A.; Khan, A. R.
1995
Pointwise convergence of Fourier-Jacobi series. Zbl 0859.42019
Li, Zhongkai
1995
On copositive approximation. Zbl 0773.41018
Zhou, S. P.
1993
On the uniform continuity of metric projections in Banach spaces. Zbl 0767.41035
Xu, Zongben; Roach, G. F.
1992
The $$C^ 2$$ quartic spline space on a four-directional mesh. Zbl 0685.41009
Chui, C. K.; He, T. X.; Wang, R. H.
1987
Degree of approximation to functions of bounded variation by certain operators. Zbl 0686.41016
Guo, Shunsheng
1988
Bivariate blending rational interpolants. Zbl 0934.65013
Tan, Jieqing
1999
Characterization of best uniform coapproximation. Zbl 0938.41017
Rao, G. S.; Saravanan, R.
1999
A trace formula for Weyl transforms. Zbl 0957.44002
Du, Jingde; Wong, M. W.
2000
Calculus on fractals based upon local fields. Zbl 0960.28003
Su, Weiyi
2000
Numerical resolvent methods for constrained problems in mechanics. Zbl 0878.76039
Alduncin, Gonzalo
1996
Integral representation of slowly growing equidistant splines. Zbl 0932.41007
Zheludev, Valery A.
1998
Riesz frames and approximation of the frame coefficients. Zbl 0919.42026
Casazza, Peter G.; Christensen, Ole
1998
Scattered data interpolation by bivariate $$C^ 1$$-piecewise quadratic functions. Zbl 0724.41003
Dahmen, Wolfgang; Gmelig Meyling, R. H. J.; Ursem, J. H. M.
1990
Finite part integrals of local bivariate $$C^1$$ quasi-interpolating splines. Zbl 0983.41008
Dagnino, C.; Lambertri, P.
2000
Relative asymptotics for orthogonal matrix polynomials with respect to a perturbed matrix measure on the unit circle. Zbl 1047.42021
Yakhlef, Hossain O.; Marcellán, Francisco
2002
Fixed point theorems and best approximation in convex metric spaces. Zbl 0769.41032
Beg, I.; Shahzad, N.; Iqbal, M.
1992
Spaces of bivariate splines on triangulations with holes. Zbl 0687.41017
Alfeld, P.; Piper, B.; Schumaker, L. L.
1987
Uniform approximation by some Durrmeyer operators. Zbl 0709.41016
Zhou, Dingxuan
1990
Approximation by Faber-Laurent rational functions in the mean of functions of class $$L_ p(\Gamma)$$ with $$1 < p < +\infty$$. Zbl 0835.41018
Çavuš, A.; Israfilov, D. M.
1995
A sharp estimate on the degree of approximation to functions of bounded variation by certain operators. Zbl 0839.41021
Gupta, Vijay
1995
Asymptotically sharp error bounds for a quadrature rule for Cauchy principal value integrals based on piecewise linear interpolation. Zbl 0851.41025
Diethelm, Kai
1995
The Hausdorff measure of generalized Sierpinski carpets. Zbl 0999.28004
Zhu, Yucan; Lou, Jun
2000
Applications of fixed point theorems to invariant approximation. Zbl 0995.41018
Khan, A. R.; Hussain, N.; Thaheem, A. B.
2000
A Korovkin-type result in $$C^k$$ an application to the $$M_n$$ operators. Zbl 0995.41011
Cárdenas-Morales, D.; Muñoz-Delgado, F. J.
2001
Pointwise characterization for combinations of Baskakov operators. Zbl 1068.41041
Xie, Linsen; Zhang, Xiaoping
2002
Pseudo-differential operators in Besov spaces over local fields. Zbl 0665.35077
Su, Weiyi
1988
Approximation of continuous functions by the generalized Bernstein- Bézier polynomials. Zbl 0665.41004
Liu, Zhexin
1986
On optimal interpolation for a differentiable function class. I. Zbl 0612.41008
Sun Yongsheng
1986
On the integral type Meyer-König and Zeller operators. Zbl 0613.41021
Chen, Wenzhong
1986
The dimension and bases of divergence-free splines. A homological approach. Zbl 0758.41013
Billera, L. J.; Haas, R.
1991
Inverse and saturation theorems for linear combination of modified Baskakov operators. Zbl 0755.41024
Kasana, H. S.; Agrawal, P. N.; Gupta, Vijay
1991
On approximation by polynomials in Orlicz spaces. Zbl 0761.41046
Wu, Garidi
1991
Cardinal translation invariant Tchebycheffian B-splines. Zbl 0709.41008
Gyn, N.; Ron, A.
1990
Degree of approximation associated with some elliptic operators and its applications. Zbl 0840.41012
Zhou, Xinlong
1995
On simultaneous approximation to a differentiable function and its derivative by inverse Pál-type interpolation polynomials. Zbl 0860.41003
Bao, Yongguang
1995
Convergence and rate of approximation in $$\operatorname{BV}_\varphi$$ for a class of integral operators. Zbl 1075.41013
Sciamannini, S.; Vinti, G.
2001
Hilbertian approach for univariate spline with tension. Zbl 0996.41009
Bouhamidi, A.
2001
Affine similarity of refinable functions. Zbl 0942.42019
Huang, Daren; Sun, Qiyu
1999
$$L^2$$-convergence of vector cascade algorithm. Zbl 0973.42028
Long, Ruilin; Mo, Qun
1999
Haar expansions of a class of fractal interpolation functions and their logical derivatives. Zbl 0784.41001
Sha, Zhen; Chen, Gang
1993
On approximation of a function and its derivatives by a polynomial and its derivatives. Zbl 0821.41007
Kilgore, T.; Szabados, J.
1994
Inexact Newton methods and nondifferentiable operator equations on Banach spaces with a convergence structure. Zbl 0891.65063
Argyros, I. K.
1997
Orthogonal matrix polynomials with respect to a conjugate bilinear matrix moment functional: Basic theory. Zbl 0911.15014
Jödar, Lucas; Defez, Emilio
1997
On the trigonometric interpolation and the entire interpolation. Zbl 0724.42005
Liu, Yongping
1990
On Hakopian interpolation in the disk. Zbl 0593.41004
Liang, Xue-zhang
1986
On the computation of the monotone cubic spline function. Zbl 0656.41008
Varas, Maria Leonor
1987
Construction of a best monotone approximation in $$l_ p$$ for $$1<p<\infty$$. Zbl 0716.41025
Swetits, J. J.; Weinstein, S. E.
1989
Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials. II. Zbl 1095.42014
Rodríguez, José M.; Romera, Elena; Pestana, Domingo
2002
The Hausdorff centred measure of the symmetry Cantor sets. Zbl 1032.28004
Zhu, Zhiwei; Zhou, Zuoling
2002
Relative asymptotics for orthogonal matrix polynomials with respect to a perturbed matrix measure on the unit circle. Zbl 1047.42021
Yakhlef, Hossain O.; Marcellán, Francisco
2002
Pointwise characterization for combinations of Baskakov operators. Zbl 1068.41041
Xie, Linsen; Zhang, Xiaoping
2002
Rate of convergence for Meyer-König and Zeller operators with Jacobi-weights. Zbl 1014.41013
Song, Ruying; Xuan, Peicai; You, Gongqiang; Wang, Jianli
2002
A note on Meyer-König and Zeller operators for functions of bounded variation. Zbl 1073.41506
Gupta, Vijay
2002
Boundedness of generalized fractional integral operators. Zbl 1031.42012
Tang, Canqin; Yang, Dachun; Zhang, Pu
2002
Wavelet characterization of weighted Triebel-Lizorkin spaces. Zbl 1049.42022
Deng, Donggao; Xu, Ming; Yan, Lixin
2002
The instability degree in the dimension of spaces of bivariate spline. Zbl 1008.41008
Xu, Zhiqiang; Wang, Renhong
2002
A bivariate extension of Bleimann-Butzer-Hahn operator. Zbl 1007.41019
Khan, Rasul A.
2002
On parametric factorization of bi-orthogonal Laurent polynomial wavelet filters. Zbl 1040.42026
Bi, Ning; Huang, Daren; Zhang, Zeyin
2002
On the order of approximation for the rational interpolation to $$|x|$$. Zbl 1028.41014
Han, Xuli
2002
The convergence rate of multi-Bernstein-Durrmeyer operators with Jacobi weights. Zbl 1014.41012
Xuan, Peicai; Wang, Jianli; You, Gongqiang; Song, Ruying
2002
Shape-preserving bivariate polynomial approximation in $$C([-1,1]\times[-1,1])$$. Zbl 1009.41010
Gal, Sorin G.
2002
Irregular wavelet frames and Gabor frames. Zbl 0999.42025
Christensen, Ole; Favier, Sergio; Zó, Felipe
2001
Convergence of double Walsh-Fourier series and Hardy spaces. Zbl 0992.42013
Weisz, Ferenc
2001
The embedding theory of native spaces. Zbl 1020.46004
Luh, Lin Tian
2001
Lower bounds for finite wavelet and Gabor systems. Zbl 0982.42020
Christensen, Ole; Lindner, Alexander M.
2001
The equivalence theory of native spaces. Zbl 1003.46016
Luh, Lin-Tian
2001
A Korovkin-type result in $$C^k$$ an application to the $$M_n$$ operators. Zbl 0995.41011
Cárdenas-Morales, D.; Muñoz-Delgado, F. J.
2001
Convergence and rate of approximation in $$\operatorname{BV}_\varphi$$ for a class of integral operators. Zbl 1075.41013
Sciamannini, S.; Vinti, G.
2001
Hilbertian approach for univariate spline with tension. Zbl 0996.41009
Bouhamidi, A.
2001
On the uniform convergence of the generalized Bieberbach polynomials in regions with K-quasiconformal boundary. Zbl 0979.30022
Cavus, Abdullah; Abdullayev, Fahreddin G.
2001
A super-Halley type approximation in Banach spaces. Zbl 1035.65059
Ezquerro, J. A.; Hernández, M. A.
2001
On Pal type weighted lacunary (0,2;0)-interpolation on infinite interval $$(-\infty,+\infty)$$. Zbl 1010.41001
Mathur, P.; Datta, S.
2001
Some rough operators on product spaces. Zbl 0984.42007
Chen, Jiecheng; Wang, Silei
2001
Interpolation methods for the evalutation of $$2\pi$$-periodic finite Baire measure. Zbl 0996.41016
Daras, Nicholas J.
2001
Summability of Hermite series. Zbl 1017.42019
Lin, Chin-Cheng
2001
Asymptotic expansion and estimate of the Landau constant. Zbl 1006.41022
Eisinberg, A.; Franzè, G.; Salerno, N.
2001
On Stein-Weiss conjugate harmonic function and octonion analytic function. Zbl 0976.31008
Li, Xingming; Peng, Lizhong
2000
Asymptotic expansion of the multivariate Bernstein polynomials on a simplex. Zbl 1013.41020
Abel, Ulrich; Ivan, Mircea
2000
Asymptotic approximation by Bernstein-Durrmeyer operators and their derivatives. Zbl 0991.41014
Abel, Ulrich
2000
Boundedness of vector-valued operators on weighted Herz spaces. Zbl 0969.42011
Tang, Lin; Yang, Dachun
2000
Shape preserving approximation using least squares splines. Zbl 0983.41009
Beliakov, Gleb
2000
A trace formula for Weyl transforms. Zbl 0957.44002
Du, Jingde; Wong, M. W.
2000
Calculus on fractals based upon local fields. Zbl 0960.28003
Su, Weiyi
2000
Finite part integrals of local bivariate $$C^1$$ quasi-interpolating splines. Zbl 0983.41008
Dagnino, C.; Lambertri, P.
2000
The Hausdorff measure of generalized Sierpinski carpets. Zbl 0999.28004
Zhu, Yucan; Lou, Jun
2000
Applications of fixed point theorems to invariant approximation. Zbl 0995.41018
Khan, A. R.; Hussain, N.; Thaheem, A. B.
2000
MHD flow of a Newtonian fluid over a stretching sheet: An approximate solution. Zbl 1011.76097
Chakraborty, B. K.; Mazumdar, H. P.
2000
Improved rate of convergence for the modified Szasz-Mirakyan operators. Zbl 1030.41014
Gupta, Vijay; Gupta, Prabhakar; Rogalski, Marc
2000
A sharp function estimate for multilinear singular integral operators. Zbl 0959.42009
Hu, Guoen
2000
Multipliers on Herz type Hardy spaces over local fields. Zbl 0960.42003
Zhu, Yueping
2000
Characterization of Hölder spaces corresponding to Ditzian-Totik modulus of smoothness. Zbl 0956.41007
Kamont, Anna
2000
$$L^2(\mathbb{R}^n)$$ boundedness for commutators of oscillatory singular integral operators. Zbl 0964.42004
Ma, Bolin; Hu, Guoen
2000
Hausdorff measure of fractal-Sierpiński carpet. Zbl 0958.28004
Chen, Fangyue; Xie, Tingfan
2000
The singularly perturbed boundary value problems for semilinear elliptic equation of higher order. Zbl 0982.35037
Chen, Songlin; Mo, Jiaqi
2000
A sufficient condition for mean convergence of orthogonal series for Freud weights. Zbl 0986.42015
Lee, D. W.
2000
The curl in seven dimensional space and its applications. Zbl 0942.58009
Peng, Lizhong; Yang, Lei
1999
Inhomogeneous Besov and Triebel-Lizorkin spaces on spaces of homgeneous type. Zbl 0957.46025
Han, Yongsheng; Lu, Shanzhen; Yang, Dachun
1999
Bivariate blending rational interpolants. Zbl 0934.65013
Tan, Jieqing
1999
Characterization of best uniform coapproximation. Zbl 0938.41017
Rao, G. S.; Saravanan, R.
1999
Affine similarity of refinable functions. Zbl 0942.42019
Huang, Daren; Sun, Qiyu
1999
$$L^2$$-convergence of vector cascade algorithm. Zbl 0973.42028
Long, Ruilin; Mo, Qun
1999
Asymptotic approximations of $$r$$-Stirling numbers. Zbl 0952.41019
Corcino, C. B.; Hsu, L. C.; Tan, E. L.
1999
Discretization and best approximation in Besov spaces. Zbl 0947.41022
Almira, J. M.; Pérez Acosta, F.
1999
Some remarks on the optimal subspaces of a convolution class with a NCVD kernel. Zbl 0972.41019
Sun, Yongsheng
1999
On Hermite matrix polynomials and Hermite matrix functions. Zbl 0911.15015
Jódar, Lucas; Defez, Emilio
1998
Embedding theorems on Campanato-Morrey spaces for vector fields of Hörmander type. Zbl 0916.46026
Lu, Guozhen
1998
Asymptotic approximation with Kantorovich polynomial. Zbl 0919.41011
Abel, Ulrich
1998
On simultaneous approximation by Lagrange interpolating polynomials. Zbl 0933.41012
Xie, T. F.; Zhou, S. P.
1998
A maximal function characterization of Hardy spaces on spaces of homogeneous type. Zbl 0922.42017
Li, Wenming
1998
Characterization of convergent subdivision schemes. Zbl 0935.42024
Zhou, Xinlong
1998
Integral representation of slowly growing equidistant splines. Zbl 0932.41007
Zheludev, Valery A.
1998
Riesz frames and approximation of the frame coefficients. Zbl 0919.42026
Casazza, Peter G.; Christensen, Ole
1998
On the modifications of classical orthogonal polynomials: The symmetric case. Zbl 0957.33005
Alvarez-Nodarse, R.; Marcellán, F.
1998
On the degree of approximation by wavelet expansions. Zbl 0906.42019
Sun, Xiehua
1998
Characterization of the convergence domains of polynomial series and the minimal convergence domain. Zbl 0918.30002
Zhang, Peixuan
1998
Fast Fourier transforms on binary fields. Zbl 0919.42018
Schipp, F.; Wade, W. R.
1998
On $$n$$-widths of some periodic convolution classes in Orlicz spaces. Zbl 0924.41018
Wu, Garidi
1998
An application of the exponential cubic splines to numerical solution of a self-adjoint perturbation problem. Zbl 0920.65048
Stojanović, Mirjana
1998
An inequality of Schur’s type. Zbl 0918.41013
Milev, L.
1998
A discrete characterization of Besov spaces. Zbl 0915.46029
Kamont, Anna
1997
On the error of quadrature formulae for Cauchy principal value integrals based on piecewise interpolation. Zbl 0894.41019
Köhler, P.
1997
Inexact Newton methods and nondifferentiable operator equations on Banach spaces with a convergence structure. Zbl 0891.65063
Argyros, I. K.
1997
Orthogonal matrix polynomials with respect to a conjugate bilinear matrix moment functional: Basic theory. Zbl 0911.15014
Jödar, Lucas; Defez, Emilio
1997
Generalized Bochner’s theorem for radial function. Zbl 0891.42003
Wu, Zongmin
1997
The boundedness of certain operators on Hölder and Sobolev spaces. Zbl 0940.43007
Su, Weiyi; Liu, Guangqi
1997
Numerical evaluation of a 2-D Cauchy principal value integral based on quasi-interpolating splines. Zbl 0907.65019
Cimoroni, M. G.
1997
The weighted Herz-type Hardy spaces $$hK_q^{\alpha,p}(\omega_1,\omega_2)$$. Zbl 0914.42017
Fan, Dashan; Yang, Dachun
1997
The Kakeya maximal operator with a special base. Zbl 0884.42017
Igari, S.
1997
A regularization method for approximating the inverse Laplace transform. Zbl 0908.65124
Al-Shuaibi, A.
1997
Almost-everywhere convergence of Bochner-Riesz means in Bessel potential spaces. Zbl 0918.42006
Ma, Bolin
1997
Calderón-Zygmund operators on the Hardy spaces of weighted Herz type. Zbl 0914.42010
Liu, Weiquan; Lu, Shanzhen
1997
Characterization of best uniform approximation with restricted ranges of derivatives. Zbl 0903.41008
Xu, Shusheng
1997
A Wiener-Tauberian theorem for Fourier-Jacobi transform. Zbl 0919.43001
Liu, Jianming; Zheng, Weixing
1997
Hermite matrix polynomials and second order matrix differential equations. Zbl 0858.15014
Jódar, L.; Company, R.
1996
On a class of quasi-variational inequalities. Zbl 0859.49009
Noor, M. A.
1996
Orthogonal matrix polynomials with respect to linear matrix moment functionals: Theory and applications. Zbl 0853.42022
Jódar, L.; Defez, E.; Ponsoda, E.
1996
An inverse-free Jarratt type approximation in a Banach space. Zbl 0852.65049
Argyros, I. K.; Chen, Dong; Qian, Q.
1996
Local spline approximation methods for singular product integration. Zbl 0911.65017
Dagnino, Cattarina; Demichelis, V.; Santi, Elisabetta
1996
Numerical resolvent methods for constrained problems in mechanics. Zbl 0878.76039
Alduncin, Gonzalo
1996
On the method of tangent hyperbolas. Zbl 0851.65038
Argyros, I. K.
1996
Some inequalities for polynomials satisfying $$p(z)\equiv z^ n p(\frac1z)$$. Zbl 0861.30002
Datt, B.; Govil, N. K.
1996
$$L^ p$$-boundedness for fractional oscillatory integral operator with rough kernel. Zbl 0853.42010
Ding, Yong
1996
Wavelets from trigonometric spline approach. Zbl 0855.42021
Chen, Hanlin
1996
Error bounds in periodic quartic spline interpolation. Zbl 0864.41025
Usmani, Riaz A.
1996
On invariant random approximations. Zbl 0872.47033
Beg, Ismat; Shahzad, Naseer
1996
Orthogonal polynomials on infinite intervals and problem 54 of P. Turán. Zbl 0852.41002
Shi, Yingguang
1996
The central BMO spaces and Littlewood-Paley operators. Zbl 0857.42009
Lu, Shanzhen; Yang, Dachun
1995
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#### Cited by 1,193 Authors

 23 Gupta, Vijay 21 Agrawal, Purshottam Narain 19 Argyros, Ioannis Konstantinos 18 Wu, Zongmin 16 Chui, Charles Kam-tai 16 Lu, Shanzhen 15 Yang, Dachun 14 Defez, Emilio 14 Power, Henry 14 Rodríguez García, José Manuel 12 Abel, Ulrich 12 Cao, Feilong 12 Hon, Yiu-Chung 12 Kansa, Edward J. 12 Noor, Muhammad Aslam 12 Sbibih, Driss 11 Li, Xingmin 10 Ling, Leevan 10 Tijini, Ahmed 10 Ward, Joseph Dinneen 9 Anastassiou, George Angelos 9 İspir, Nurhayat 9 Quesada, José María 9 Su, Weiyi 9 Wang, Renhong 8 Dehghan Takht Fooladi, Mehdi 8 Fu, Zunwei 8 Goginava, Ushangi 8 Radchenko, Vadym Mykolaĭovych 8 Zeng, Xiaoming 7 Beliakov, Gleb 7 Cárdenas-Morales, Daniel 7 Heilmann, Margareta 7 Jódar Sanchez, Lucas Antonio 7 Narcowich, Francis J. 7 Quintana, Yamilet 7 Sastre, Jorge 7 Schaback, Robert 7 Xie, Tingfan 7 Zhou, Dingxuan 7 Zhou, Xinlong 6 Abbaszadeh, Mostafa 6 Acu, Ana Maria 6 Aral, Ali 6 Christensen, Ole 6 Costarelli, Danilo 6 Della Vecchia, Biancamaria 6 Ezquerro, José Antonio 6 Garrancho, Pedro 6 Hernández, Miguel Ángel 6 Hussain, Nawab 6 Li, Chong 6 Mastroianni, Giuseppe 6 Mohebbi, Akbar 6 Portilla, Ana 6 Qiu, Hua 6 Rasa, Ioan 6 Spigler, Renato 6 Touris, Eva 6 Xu, Jingshi 6 Yoon, Jungho 5 Alduncin, Gonzalo 5 Alfeld, Peter 5 Bodnarchuk, I. M. 5 Chen, Zhixiang 5 Cheng, Li 5 Fornberg, Bengt 5 Gao, Wenwu 5 Kajla, Arun 5 Lai, Mingjun 5 Li, Zhongkai 5 Liao, Jianquan 5 Liu, Zongguang 5 Lubinsky, Doron S. 5 Marano, Miguel 5 Marcellán Español, Francisco 5 Martínez-Moreno, Juan 5 Nikolov, Geno P. 5 Peng, Lizhong 5 Sablonnière, Paul 5 Santi, Elisabetta 5 Schumaker, Larry L. 5 Shehata, Ayman 5 Walczak, Zbigniew 5 Wang, Jinxun 5 Wendland, Holger 5 Xu, Yuan 5 Xu, Zongben 5 Zeilfelder, Frank 4 Akgun, Ramazan 4 Avazzadeh, Zakieh 4 Barrera, Domingo 4 Baxhaku, Behar 4 Dagnino, Catterina 4 Dahmen, Wolfgang A. 4 de Bruin, Marcel G. 4 Deo, Naokant 4 Dipasquale, Michael R. 4 Florez, Whady Felipe 4 Gabardo, Jean-Pierre ...and 1,093 more Authors
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#### Cited in 217 Journals

 106 Journal of Approximation Theory 80 Journal of Computational and Applied Mathematics 64 Journal of Mathematical Analysis and Applications 54 Computers & Mathematics with Applications 50 Applied Mathematics and Computation 43 Engineering Analysis with Boundary Elements 28 Advances in Computational Mathematics 28 Acta Mathematica Sinica. English Series 28 Analysis in Theory and Applications 24 Results in Mathematics 23 Constructive Approximation 17 Mathematical and Computer Modelling 13 Mathematics of Computation 13 Applied Mathematics. Series B (English Edition) 13 Applied and Computational Harmonic Analysis 12 BIT 12 Applied Numerical Mathematics 11 Journal of Computational Physics 11 Linear Algebra and its Applications 11 Journal of Inequalities and Applications 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Applied Mathematics Letters 10 Advances in Applied Clifford Algebras 9 Acta Mathematica Hungarica 9 Science in China. Series A 9 Numerical Algorithms 9 The Journal of Fourier Analysis and Applications 8 Computer Methods in Applied Mechanics and Engineering 8 Computer Aided Geometric Design 8 Abstract and Applied Analysis 7 Rocky Mountain Journal of Mathematics 7 Mathematics and Computers in Simulation 7 Numerical Functional Analysis and Optimization 7 Proceedings of the American Mathematical Society 7 Theory of Probability and Mathematical Statistics 7 Journal of Function Spaces and Applications 7 Frontiers of Mathematics in China 7 Journal of Function Spaces 6 Ukrainian Mathematical Journal 6 Chaos, Solitons and Fractals 6 Fuzzy Sets and Systems 6 Numerische Mathematik 6 Journal of Complexity 6 Science China. Mathematics 6 Afrika Matematika 5 Analysis Mathematica 5 Acta Applicandae Mathematicae 5 Georgian Mathematical Journal 5 Mediterranean Journal of Mathematics 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Journal of Functional Analysis 4 Mathematische Nachrichten 4 Mathematica Slovaca 4 Mathematische Zeitschrift 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Transactions of the American Mathematical Society 4 Neural Networks 4 Applied Mathematical Modelling 4 Acta Mathematica Sinica. New Series 4 Journal of Mathematical Sciences (New York) 4 Fixed Point Theory and Applications 4 Tbilisi Mathematical Journal 3 Journal of Mathematical Physics 3 Czechoslovak Mathematical Journal 3 Demonstratio Mathematica 3 Quaestiones Mathematicae 3 Journal of Integral Equations and Applications 3 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 3 Indagationes Mathematicae. New Series 3 Computational and Applied Mathematics 3 Turkish Journal of Mathematics 3 Honam Mathematical Journal 3 Journal of Applied Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Analysis and Applications (Singapore) 3 Journal of Mathematical Inequalities 3 Asian-European Journal of Mathematics 3 Journal of Classical Analysis 3 International Journal of Applied and Computational Mathematics 2 Computer Physics Communications 2 Linear and Multilinear Algebra 2 Mathematical Notes 2 Nonlinearity 2 Reports on Mathematical Physics 2 Applied Mathematics and Optimization 2 Computing 2 International Journal of Mathematics and Mathematical Sciences 2 International Journal for Numerical Methods in Engineering 2 Journal of the Korean Mathematical Society 2 Manuscripta Mathematica 2 Monatshefte für Mathematik 2 Advances in Applied Mathematics 2 Statistics & Probability Letters 2 Acta Mathematicae Applicatae Sinica. English Series 2 Numerical Methods for Partial Differential Equations 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 The Journal of Geometric Analysis 2 International Journal of Computer Mathematics 2 Potential Analysis 2 SIAM Journal on Scientific Computing ...and 117 more Journals
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#### Cited in 49 Fields

 553 Approximations and expansions (41-XX) 346 Numerical analysis (65-XX) 211 Harmonic analysis on Euclidean spaces (42-XX) 95 Operator theory (47-XX) 92 Functional analysis (46-XX) 77 Partial differential equations (35-XX) 65 Special functions (33-XX) 58 Functions of a complex variable (30-XX) 52 Real functions (26-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 34 Measure and integration (28-XX) 30 Fluid mechanics (76-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 26 Probability theory and stochastic processes (60-XX) 21 Abstract harmonic analysis (43-XX) 21 Integral equations (45-XX) 18 Ordinary differential equations (34-XX) 15 General topology (54-XX) 15 Information and communication theory, circuits (94-XX) 13 Number theory (11-XX) 12 Computer science (68-XX) 11 Operations research, mathematical programming (90-XX) 10 Statistics (62-XX) 10 Biology and other natural sciences (92-XX) 9 Mechanics of deformable solids (74-XX) 7 Potential theory (31-XX) 7 Difference and functional equations (39-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Sequences, series, summability (40-XX) 5 Nonassociative rings and algebras (17-XX) 5 Integral transforms, operational calculus (44-XX) 5 Quantum theory (81-XX) 4 Commutative algebra (13-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Systems theory; control (93-XX) 3 Topological groups, Lie groups (22-XX) 3 Convex and discrete geometry (52-XX) 3 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Differential geometry (53-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX)