Mal, Arpita An approximation problem in the space of bounded operators. (English) Zbl 1529.46012 Numer. Funct. Anal. Optim. 44, No. 2, 124-137 (2023). Reviewer: Henrik Wirzenius (Tampere) MSC: 46B28 47L05 46B25 41A50 PDFBibTeX XMLCite \textit{A. Mal}, Numer. Funct. Anal. Optim. 44, No. 2, 124--137 (2023; Zbl 1529.46012) Full Text: DOI arXiv Link
Silva, Everton J.; Karas, Elizabeth W.; Santos, Lucelina B. Integral global optimality conditions and an algorithm for multiobjective problems. (English) Zbl 1492.90165 Numer. Funct. Anal. Optim. 43, No. 10, 1265-1288 (2022). MSC: 90C29 65K05 49M37 PDFBibTeX XMLCite \textit{E. J. Silva} et al., Numer. Funct. Anal. Optim. 43, No. 10, 1265--1288 (2022; Zbl 1492.90165) Full Text: DOI arXiv
Daptari, Soumitra; Paul, Tanmoy On property-\((R_1)\) and relative Chebyshev centres in Banach spaces. (English) Zbl 1498.46014 Numer. Funct. Anal. Optim. 43, No. 4, 486-495 (2022). MSC: 46B20 41A65 PDFBibTeX XMLCite \textit{S. Daptari} and \textit{T. Paul}, Numer. Funct. Anal. Optim. 43, No. 4, 486--495 (2022; Zbl 1498.46014) Full Text: DOI
Rao, T. S. S. R. K. Operators Birkhoff-James orthogonal to spaces of operators. (English) Zbl 07431317 Numer. Funct. Anal. Optim. 42, No. 10, 1201-1208 (2021). Reviewer: Jorge Tomás Rodríguez (Tandil) MSC: 47L05 41A50 46B25 PDFBibTeX XMLCite \textit{T. S. S. R. K. Rao}, Numer. Funct. Anal. Optim. 42, No. 10, 1201--1208 (2021; Zbl 07431317) Full Text: DOI
Ferreyra, D. E.; Levis, F. E.; Roldán, M. V. A new approach to derivatives in \(L^2\)-spaces. (English) Zbl 1447.41012 Numer. Funct. Anal. Optim. 41, No. 10, 1272-1285 (2020). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 41A50 26A24 41A10 43A15 PDFBibTeX XMLCite \textit{D. E. Ferreyra} et al., Numer. Funct. Anal. Optim. 41, No. 10, 1272--1285 (2020; Zbl 1447.41012) Full Text: DOI
Favier, Sergio; Lorenzo, Rosa Extension of the best constant approximation operator in Orlicz spaces. (English) Zbl 1436.41018 Numer. Funct. Anal. Optim. 41, No. 6, 635-658 (2020). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 41A50 41A10 46E30 PDFBibTeX XMLCite \textit{S. Favier} and \textit{R. Lorenzo}, Numer. Funct. Anal. Optim. 41, No. 6, 635--658 (2020; Zbl 1436.41018) Full Text: DOI Link
Cao, Jianbing; Xue, Yifeng Perturbation analysis of the algebraic metric generalized inverse in \(L^p(\Omega,\mu)\). (English) Zbl 1491.47001 Numer. Funct. Anal. Optim. 38, No. 12, 1624-1643 (2017). MSC: 47A05 47A52 47A55 41A50 PDFBibTeX XMLCite \textit{J. Cao} and \textit{Y. Xue}, Numer. Funct. Anal. Optim. 38, No. 12, 1624--1643 (2017; Zbl 1491.47001) Full Text: DOI
Acinas, Sonia; Favier, Sergio Multivalued extended best \(\Phi\)-polynomial approximation operator. (English) Zbl 1357.41026 Numer. Funct. Anal. Optim. 37, No. 11, 1339-1353 (2016). MSC: 41A50 41A10 46E30 PDFBibTeX XMLCite \textit{S. Acinas} and \textit{S. Favier}, Numer. Funct. Anal. Optim. 37, No. 11, 1339--1353 (2016; Zbl 1357.41026) Full Text: DOI
Cuenya, H. H.; Ferreyra, D. E.; Ridolfi, C. V. Best \(L^{2}\) local approximation on two small intervals. (English) Zbl 1337.41015 Numer. Funct. Anal. Optim. 37, No. 2, 145-158 (2016). MSC: 41A50 41A10 PDFBibTeX XMLCite \textit{H. H. Cuenya} et al., Numer. Funct. Anal. Optim. 37, No. 2, 145--158 (2016; Zbl 1337.41015) Full Text: DOI
Viswanathan, P.; Navascués, M. A.; Chand, A. K. B. Fractal polynomials and maps in approximation of continuous functions. (English) Zbl 1339.41024 Numer. Funct. Anal. Optim. 37, No. 1, 106-127 (2016). MSC: 41A29 41A30 28A80 41A50 PDFBibTeX XMLCite \textit{P. Viswanathan} et al., Numer. Funct. Anal. Optim. 37, No. 1, 106--127 (2016; Zbl 1339.41024) Full Text: DOI
Alotaibi, Abdullah; Combettes, Patrick L.; Shahzad, Naseer Best approximation from the Kuhn-Tucker set of composite monotone inclusions. (English) Zbl 1337.47084 Numer. Funct. Anal. Optim. 36, No. 12, 1513-1532 (2015). MSC: 47J22 47H05 41A50 65K05 41A65 90C25 PDFBibTeX XMLCite \textit{A. Alotaibi} et al., Numer. Funct. Anal. Optim. 36, No. 12, 1513--1532 (2015; Zbl 1337.47084) Full Text: DOI arXiv
Acinas, Sonia; Favier, Sergio; Zó, Felipe Extended best polynomial approximation operator in Orlicz spaces. (English) Zbl 1327.41002 Numer. Funct. Anal. Optim. 36, No. 7, 817-829 (2015). MSC: 41A10 41A50 41A45 PDFBibTeX XMLCite \textit{S. Acinas} et al., Numer. Funct. Anal. Optim. 36, No. 7, 817--829 (2015; Zbl 1327.41002) Full Text: DOI
Rao, T. S. S. R. K. Best constrained approximation in Banach spaces. (English) Zbl 1312.41039 Numer. Funct. Anal. Optim. 36, No. 2, 248-255 (2015). MSC: 41A50 46B20 46E40 PDFBibTeX XMLCite \textit{T. S. S. R. K. Rao}, Numer. Funct. Anal. Optim. 36, No. 2, 248--255 (2015; Zbl 1312.41039) Full Text: DOI
Vainikko, Gennadi First kind cordial Volterra integral equations. II. (English) Zbl 1381.45015 Numer. Funct. Anal. Optim. 35, No. 12, 1607-1637 (2014). MSC: 45D05 45P05 65R20 PDFBibTeX XMLCite \textit{G. Vainikko}, Numer. Funct. Anal. Optim. 35, No. 12, 1607--1637 (2014; Zbl 1381.45015) Full Text: DOI
Jayanarayanan, C. R. Proximinality properties in \(L_p(\mu ,X)\) and polyhedral direct sums of Banach spaces. (English) Zbl 1293.41017 Numer. Funct. Anal. Optim. 35, No. 6, 708-723 (2014). MSC: 41A65 46E40 46B20 41A50 PDFBibTeX XMLCite \textit{C. R. Jayanarayanan}, Numer. Funct. Anal. Optim. 35, No. 6, 708--723 (2014; Zbl 1293.41017) Full Text: DOI
Listán-García, M. C.; Rambla-Barreno, F. Rough convergence and Chebyshev centers in Banach spaces. (English) Zbl 1296.46014 Numer. Funct. Anal. Optim. 35, No. 4, 432-442 (2014). Reviewer: Simon Lücking (Basel) MSC: 46B20 PDFBibTeX XMLCite \textit{M. C. Listán-García} and \textit{F. Rambla-Barreno}, Numer. Funct. Anal. Optim. 35, No. 4, 432--442 (2014; Zbl 1296.46014) Full Text: DOI
Rao, T. S. S. R. K. On a Garkavi type theorem for \(M\)-ideals of finite codimension. (English) Zbl 1278.41012 Numer. Funct. Anal. Optim. 34, No. 9, 1041-1049 (2013). MSC: 41A50 46B20 46E15 PDFBibTeX XMLCite \textit{T. S. S. R. K. Rao}, Numer. Funct. Anal. Optim. 34, No. 9, 1041--1049 (2013; Zbl 1278.41012) Full Text: DOI
Nunes, A. L.; Vasconcelos, P. B.; Ahues, M. Error bounds for low-rank approximations of the first exponential integral kernel. (English) Zbl 1270.33013 Numer. Funct. Anal. Optim. 34, No. 1, 74-93 (2013). Reviewer: Ivan Secrieru (Chişinău) MSC: 33F05 45C05 45E99 68P05 65F15 65R20 PDFBibTeX XMLCite \textit{A. L. Nunes} et al., Numer. Funct. Anal. Optim. 34, No. 1, 74--93 (2013; Zbl 1270.33013) Full Text: DOI
Hussain, N.; Pathak, H. K. Subweakly biased pairs and Jungck contractions with applications. (English) Zbl 1242.47044 Numer. Funct. Anal. Optim. 32, No. 10, 1067-1082 (2011). Reviewer: Edward Prempeh (Kumasi) MSC: 47H10 54H25 41A50 PDFBibTeX XMLCite \textit{N. Hussain} and \textit{H. K. Pathak}, Numer. Funct. Anal. Optim. 32, No. 10, 1067--1082 (2011; Zbl 1242.47044) Full Text: DOI
Li, Qiaoluan Helen Optimal subspaces for \(n\) -widths of bounded subsets in Hilbert spaces. (English) Zbl 1229.41029 Numer. Funct. Anal. Optim. 32, No. 6, 641-658 (2011). Reviewer: Michael Karlov (Moskva) MSC: 41A50 PDFBibTeX XMLCite \textit{Q. H. Li}, Numer. Funct. Anal. Optim. 32, No. 6, 641--658 (2011; Zbl 1229.41029) Full Text: DOI
Carrizo, Ivana; Favier, Sergio; Zó, Felipe A characterization of the extended best \(\phi \)-approximation operator. (English) Zbl 1222.46023 Numer. Funct. Anal. Optim. 32, No. 3, 254-266 (2011). MSC: 46E30 41A50 41A65 PDFBibTeX XMLCite \textit{I. Carrizo} et al., Numer. Funct. Anal. Optim. 32, No. 3, 254--266 (2011; Zbl 1222.46023) Full Text: DOI Link
Iranmanesh, M.; Solimany, F. \(I_m\)-quasi upward sets, with their best approximations. (English) Zbl 1215.41010 Numer. Funct. Anal. Optim. 31, No. 11, 1261-1271 (2010). Reviewer: T. D. Narang (Amritsar) MSC: 41A50 46B40 26B25 52A40 PDFBibTeX XMLCite \textit{M. Iranmanesh} and \textit{F. Solimany}, Numer. Funct. Anal. Optim. 31, No. 11, 1261--1271 (2010; Zbl 1215.41010) Full Text: DOI
Rao, T. S. S. R. K. Remark on a paper of Sababheh and Khalil. (English) Zbl 1184.46019 Numer. Funct. Anal. Optim. 30, No. 7-8, 822-824 (2009). Reviewer: Roshdi Khalil (Amman) MSC: 46B20 41A50 41A65 PDFBibTeX XMLCite \textit{T. S. S. R. K. Rao}, Numer. Funct. Anal. Optim. 30, No. 7--8, 822--824 (2009; Zbl 1184.46019) Full Text: DOI
Sababheh, M.; Khalil, R. Remotality of closed bounded convex sets in reflexive spaces. (English) Zbl 1166.46006 Numer. Funct. Anal. Optim. 29, No. 9-10, 1166-1170 (2008). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46B20 41A65 PDFBibTeX XMLCite \textit{M. Sababheh} and \textit{R. Khalil}, Numer. Funct. Anal. Optim. 29, No. 9--10, 1166--1170 (2008; Zbl 1166.46006) Full Text: DOI
Yang, Chengmin One-sided \(L^{1}\) norm and best approximation in one-sided \(L^{1}\) norm. (English) Zbl 1148.41027 Numer. Funct. Anal. Optim. 28, No. 3-4, 503-518 (2007). Reviewer: H. P. Dikshit (Bhopal) MSC: 41A50 41A52 PDFBibTeX XMLCite \textit{C. Yang}, Numer. Funct. Anal. Optim. 28, No. 3--4, 503--518 (2007; Zbl 1148.41027) Full Text: DOI
Hösel, Volker; Lasser, Rupert Approximation with Bernstein-Szegö polynomials. (English) Zbl 1119.41005 Numer. Funct. Anal. Optimization 27, No. 3-4, 377-389 (2006). Reviewer: Doron S. Lubinsky (Atlanta) MSC: 41A10 PDFBibTeX XMLCite \textit{V. Hösel} and \textit{R. Lasser}, Numer. Funct. Anal. Optim. 27, No. 3--4, 377--389 (2006; Zbl 1119.41005) Full Text: DOI
Cuenya, H. H.; Levis, F. E. Pólya-type polynomial inequalities in \(L^p\) spaces and best local approximation. (English) Zbl 1092.41006 Numer. Funct. Anal. Optimization 26, No. 7-8, 813-827 (2005). Reviewer: László Leindler (Szeged) MSC: 41A17 26D07 41A50 PDFBibTeX XMLCite \textit{H. H. Cuenya} and \textit{F. E. Levis}, Numer. Funct. Anal. Optim. 26, No. 7--8, 813--827 (2005; Zbl 1092.41006) Full Text: DOI
O’Regan, Donal; Shahzad, Naseer Invariant approximations for generalized \(I\)-contractions. (English) Zbl 1084.41023 Numer. Funct. Anal. Optimization 26, No. 4-5, 565-575 (2005). Reviewer: Victor Milman (Minsk) MSC: 41A50 47H10 54H25 PDFBibTeX XMLCite \textit{D. O'Regan} and \textit{N. Shahzad}, Numer. Funct. Anal. Optim. 26, No. 4--5, 565--575 (2005; Zbl 1084.41023) Full Text: DOI
Saidi, Fathi B. Generalized deviations and best approximation theory. (English) Zbl 1072.41015 Numer. Funct. Anal. Optimization 26, No. 2, 271-283 (2005). Reviewer: Hang Tong Lau (Montréal) MSC: 41A50 41A52 41A28 60F10 PDFBibTeX XMLCite \textit{F. B. Saidi}, Numer. Funct. Anal. Optim. 26, No. 2, 271--283 (2005; Zbl 1072.41015) Full Text: DOI
Mohebi, H. Downward sets and their best simultaneous approximation properties with applications. (English) Zbl 1068.41038 Numer. Funct. Anal. Optimization 25, No. 7-8, 685-705 (2004). Reviewer: Hang Tong Lau (Montréal) MSC: 41A28 26B25 46B42 PDFBibTeX XMLCite \textit{H. Mohebi}, Numer. Funct. Anal. Optim. 25, No. 7--8, 685--705 (2004; Zbl 1068.41038) Full Text: DOI
Cuenya, H. H.; Rodriguez, C. N. Rational approximation in \(L_\phi\) spaces on a finite union of disjoint intervals. (English) Zbl 1026.41020 Numer. Funct. Anal. Optimization 23, No. 7-8, 747-755 (2002). Reviewer: J.M.Quesada (Jaen) MSC: 41A50 46E30 PDFBibTeX XMLCite \textit{H. H. Cuenya} and \textit{C. N. Rodriguez}, Numer. Funct. Anal. Optim. 23, No. 7--8, 747--755 (2002; Zbl 1026.41020) Full Text: DOI
Grigorieff, Rolf Dieter On convergence in discretized minimization problems. (English) Zbl 0992.65049 Numer. Funct. Anal. Optimization 22, No. 5-6, 577-607 (2001). Reviewer: Constantin Popa (Constantza) MSC: 65J05 41A50 47J30 90C59 65K05 PDFBibTeX XMLCite \textit{R. D. Grigorieff}, Numer. Funct. Anal. Optim. 22, No. 5--6, 577--607 (2001; Zbl 0992.65049) Full Text: DOI
Huotari, Robert; Prophet, M. P. Constrained optimal location. (English) Zbl 1024.90049 Numer. Funct. Anal. Optimization 22, No. 1-2, 69-78 (2001). MSC: 90B80 41A30 PDFBibTeX XMLCite \textit{R. Huotari} and \textit{M. P. Prophet}, Numer. Funct. Anal. Optim. 22, No. 1--2, 69--78 (2001; Zbl 1024.90049) Full Text: DOI
Dicheva, N. K. On the best recovery of a linear functional in a certain class of bivariate functions. (English) Zbl 0970.41019 Numer. Funct. Anal. Optimization 21, No. 7-8, 829-843 (2000). Reviewer: Ioan Şerb (Cluj-Napoca) MSC: 41A50 41A58 41A15 65D05 65D17 PDFBibTeX XMLCite \textit{N. K. Dicheva}, Numer. Funct. Anal. Optim. 21, No. 7--8, 829--843 (2000; Zbl 0970.41019) Full Text: DOI
Ali, Sayel A.; Al-Jarrah, Radwan Best approximation of finite sets in normed linear spaces. (English) Zbl 0964.41016 Numer. Funct. Anal. Optimization 21, No. 5-6, 571-578 (2000). Reviewer: T.D.Narang (Amritsar) MSC: 41A50 PDFBibTeX XMLCite \textit{S. A. Ali} and \textit{R. Al-Jarrah}, Numer. Funct. Anal. Optim. 21, No. 5--6, 571--578 (2000; Zbl 0964.41016) Full Text: DOI
Kitahara, Kazuaki; Kuri, Ken-ichi On a theorem of Jackson type in \(k\) dimensions. (English) Zbl 0957.41019 Numer. Funct. Anal. Optimization 21, No. 3-4, 465-470 (2000). Reviewer: Ioan Şerb (Cluj-Napoca) MSC: 41A50 PDFBibTeX XMLCite \textit{K. Kitahara} and \textit{K.-i. Kuri}, Numer. Funct. Anal. Optim. 21, No. 3--4, 465--470 (2000; Zbl 0957.41019) Full Text: DOI
Srivastava, H. M. Some recent developments in the theory and applications of a class of finite Fourier transformations. (English) Zbl 0969.42003 Numer. Funct. Anal. Optimization 21, No. 1-2, 295-306 (2000). Reviewer: B.P.Duggal (Al Ain) MSC: 42A38 33C10 33C45 42A16 42A24 PDFBibTeX XMLCite \textit{H. M. Srivastava}, Numer. Funct. Anal. Optim. 21, No. 1--2, 295--306 (2000; Zbl 0969.42003) Full Text: DOI
Singer, Ivan On nearest points in closed convex sets. (English) Zbl 0898.46010 Numer. Funct. Anal. Optimization 19, No. 1-2, 115-119 (1998). Reviewer: Juan-E.Martínez-Legaz (Barcelona) MSC: 46B03 46B20 41A65 PDFBibTeX XMLCite \textit{I. Singer}, Numer. Funct. Anal. Optim. 19, No. 1--2, 115--119 (1998; Zbl 0898.46010) Full Text: DOI
Kamal, Aref The similarity between the best approximation and the best copositive approximation. (English) Zbl 0907.41016 Numer. Funct. Anal. Optimization 18, No. 7-8, 789-803 (1997). Reviewer: M.A.Jiménez (Puebla) MSC: 41A29 41A50 PDFBibTeX XMLCite \textit{A. Kamal}, Numer. Funct. Anal. Optim. 18, No. 7--8, 789--803 (1997; Zbl 0907.41016) Full Text: DOI
Felten, Michael; Mache, Detlef H. Estimations of Chebyshev convolution operators by an algebraic modulus of smoothness. (English) Zbl 0868.41013 Numer. Funct. Anal. Optimization 17, No. 5-6, 577-585 (1996). MSC: 41A25 41A28 41A36 PDFBibTeX XMLCite \textit{M. Felten} and \textit{D. H. Mache}, Numer. Funct. Anal. Optim. 17, No. 5--6, 577--585 (1996; Zbl 0868.41013) Full Text: DOI
Zó, Felipe; Favier, Sergio Convergence of \(\|\;\|_ \varphi\) approximations to the strict approximation in \(\mathbb{R}^ n\). (English) Zbl 0824.41029 Numer. Funct. Anal. Optimization 16, No. 5-6, 825-834 (1995). MSC: 41A50 46B20 PDFBibTeX XMLCite \textit{F. Zó} and \textit{S. Favier}, Numer. Funct. Anal. Optim. 16, No. 5--6, 825--834 (1995; Zbl 0824.41029) Full Text: DOI
Saidi, Fathi B. Subdifferentials and approximation theory. (English) Zbl 0863.41020 Numer. Funct. Anal. Optimization 16, No. 5-6, 765-783 (1995). Reviewer: A.L.Brown (Chandigarh) MSC: 41A65 46C15 PDFBibTeX XMLCite \textit{F. B. Saidi}, Numer. Funct. Anal. Optim. 16, No. 5--6, 765--783 (1995; Zbl 0863.41020) Full Text: DOI
Legg, D. A.; Townsend, D. W.; Huotari, R. A strict best approximant by non-decreasing functions. (English) Zbl 0873.41024 Numer. Funct. Anal. Optimization 16, No. 5-6, 737-741 (1995). Reviewer: D.Zarnadze (Tbilisi) MSC: 41A50 41A30 41A52 PDFBibTeX XMLCite \textit{D. A. Legg} et al., Numer. Funct. Anal. Optim. 16, No. 5--6, 737--741 (1995; Zbl 0873.41024) Full Text: DOI
Butnariu, Dan; Flåm, Sjur Didrik Strong convergence of expected-projection methods in Hilbert spaces. (English) Zbl 0834.65041 Numer. Funct. Anal. Optimization 16, No. 5-6, 601-636 (1995). Reviewer: V.Berinde (Baia Mare) MSC: 65J05 65K05 47H40 90C15 41A50 92C55 PDFBibTeX XMLCite \textit{D. Butnariu} and \textit{S. D. Flåm}, Numer. Funct. Anal. Optim. 16, No. 5--6, 601--636 (1995; Zbl 0834.65041) Full Text: DOI
Favier, Sergio Convergence of function averages in Orlicz spaces. (English) Zbl 0823.46028 Numer. Funct. Anal. Optimization 15, No. 3-4, 263-278 (1994). MSC: 46E30 41A50 PDFBibTeX XMLCite \textit{S. Favier}, Numer. Funct. Anal. Optim. 15, No. 3--4, 263--278 (1994; Zbl 0823.46028) Full Text: DOI
Zhong, Jun Best restricted range approximation. (English) Zbl 0794.41020 Numer. Funct. Anal. Optimization 14, No. 1-2, 179-194 (1993). MSC: 41A50 PDFBibTeX XMLCite \textit{J. Zhong}, Numer. Funct. Anal. Optim. 14, No. 1--2, 179--194 (1993; Zbl 0794.41020) Full Text: DOI
Mabizela, S.; Zhong, J. On the best uniform \(\epsilon\)-interpolation operator. (English) Zbl 0794.41017 Numer. Funct. Anal. Optimization 14, No. 1-2, 117-124 (1993). MSC: 41A50 41A05 41A36 PDFBibTeX XMLCite \textit{S. Mabizela} and \textit{J. Zhong}, Numer. Funct. Anal. Optim. 14, No. 1--2, 117--124 (1993; Zbl 0794.41017) Full Text: DOI
Kohlenbach, Ulrich New effective moduli of uniqueness and uniform a priori estimates for constants of strong unicity by logical analysis of known proofs in best approximation theory. (English) Zbl 0795.41020 Numer. Funct. Anal. Optimization 14, No. 5-6, 581-606 (1993). MSC: 41A50 PDFBibTeX XMLCite \textit{U. Kohlenbach}, Numer. Funct. Anal. Optim. 14, No. 5--6, 581--606 (1993; Zbl 0795.41020) Full Text: DOI
Kitahara, Kazuaki Representations of weak Tchebycheff systems. (English) Zbl 0794.41016 Numer. Funct. Anal. Optimization 14, No. 3-4, 383-388 (1993). MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{K. Kitahara}, Numer. Funct. Anal. Optim. 14, No. 3--4, 383--388 (1993; Zbl 0794.41016) Full Text: DOI
Bartelt, Martin W.; Swetits, John J. The strong derivative of the best approximation operator. (English) Zbl 0802.41025 Numer. Funct. Anal. Optimization 14, No. 3-4, 229-248 (1993). Reviewer: S.S.Dragomir (Timişoara) MSC: 41A50 41A36 PDFBibTeX XMLCite \textit{M. W. Bartelt} and \textit{J. J. Swetits}, Numer. Funct. Anal. Optim. 14, No. 3--4, 229--248 (1993; Zbl 0802.41025) Full Text: DOI
Kamal, Aref On the proximinality of compact operators over spaces of measurable functions. (English) Zbl 0760.41027 Numer. Funct. Anal. Optimization 13, No. 5-6, 585-590 (1992). Reviewer: A.Kamal MSC: 41A65 41A50 41A36 PDFBibTeX XMLCite \textit{A. Kamal}, Numer. Funct. Anal. Optim. 13, No. 5--6, 585--590 (1992; Zbl 0760.41027) Full Text: DOI
Yang, Chengmin Uniqueness of best \(\alpha\)-norm approximation and \(A\)-spaces. (English) Zbl 0763.41027 Numer. Funct. Anal. Optimization 13, No. 3-4, 403-412 (1992). MSC: 41A50 PDFBibTeX XMLCite \textit{C. Yang}, Numer. Funct. Anal. Optim. 13, No. 3--4, 403--412 (1992; Zbl 0763.41027) Full Text: DOI
Vetrivel, V.; Veeramani, P.; Bhattacharyya, P. Some extensions of Fan’s best approximation theorem. (English) Zbl 0763.41026 Numer. Funct. Anal. Optimization 13, No. 3-4, 397-402 (1992). MSC: 41A50 PDFBibTeX XMLCite \textit{V. Vetrivel} et al., Numer. Funct. Anal. Optim. 13, No. 3--4, 397--402 (1992; Zbl 0763.41026) Full Text: DOI
Legg, David A.; Townsend, Douglas W. A family of natural best \(L_ 1\)-approximants by nondecreasing functions. (English) Zbl 0763.41024 Numer. Funct. Anal. Optimization 13, No. 1-2, 173-183 (1992). MSC: 41A50 PDFBibTeX XMLCite \textit{D. A. Legg} and \textit{D. W. Townsend}, Numer. Funct. Anal. Optim. 13, No. 1--2, 173--183 (1992; Zbl 0763.41024) Full Text: DOI
Egger, A.; Huotari, R. Polya properties in \(\mathbb{R}^ n\). (English) Zbl 0768.41025 Numer. Funct. Anal. Optimization 13, No. 1-2, 123-128 (1992). Reviewer: W.H.Fuchs (Ithaca) MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{A. Egger} and \textit{R. Huotari}, Numer. Funct. Anal. Optim. 13, No. 1--2, 123--128 (1992; Zbl 0768.41025) Full Text: DOI
Kroó, A.; Swetits, J. J. On uniqueness of best \(L_ 1\)-approximation in Sobolev spaces. (English) Zbl 0765.41023 Numer. Funct. Anal. Optimization 13, No. 1-2, 29-41 (1992). Reviewer: W.W.Breckner (Cluj-Napoca) MSC: 41A50 41A46 PDFBibTeX XMLCite \textit{A. Kroó} and \textit{J. J. Swetits}, Numer. Funct. Anal. Optim. 13, No. 1--2, 29--41 (1992; Zbl 0765.41023) Full Text: DOI
Dragomir, Sever Silvestru Characterizations of proximinal, semichebychevian and Chebychevian subspaces in real normed spaces. (English) Zbl 0838.46009 Numer. Funct. Anal. Optimization 12, No. 5-6, 487-491 (1991). Reviewer: T.V.Tonev (Missoula) MSC: 46B20 41A50 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Numer. Funct. Anal. Optim. 12, No. 5--6, 487--491 (1991; Zbl 0838.46009) Full Text: DOI
Mhaskar, H. N. Weighted polynomials, radial basis functions and potentials on locally compact spaces. (English) Zbl 0744.31004 Numer. Funct. Anal. Optimization 11(1990), No. 9-10, 987-1017 (1991). Reviewer: S.K.Rangarajan (Karaikudi) MSC: 31C15 41A10 PDFBibTeX XMLCite \textit{H. N. Mhaskar}, Numer. Funct. Anal. Optim. 11, No. 9--10, 987--1017 (1991; Zbl 0744.31004) Full Text: DOI
Deeb, W.; Khalil, R. Best approximation in function and operator spaces. (English) Zbl 0737.41034 Numer. Funct. Anal. Optimization 11(1990), No. 9-10, 917-927 (1991). MSC: 41A65 41A50 PDFBibTeX XMLCite \textit{W. Deeb} and \textit{R. Khalil}, Numer. Funct. Anal. Optim. 11, No. 9--10, 917--927 (1991; Zbl 0737.41034) Full Text: DOI
Swetits, J. J.; Weinstein, S. E.; Xu, Yuesheng The computation of a best monotone \(L_ p\) approximation for \(1\leq p<\infty\). (English) Zbl 0733.65007 Numer. Funct. Anal. Optimization 11, No. 7-8, 811-822 (1990). Reviewer: H.T.Lau (Verdun/Quebec) MSC: 65D15 41A50 PDFBibTeX XMLCite \textit{J. J. Swetits} et al., Numer. Funct. Anal. Optim. 11, No. 7--8, 811--822 (1990; Zbl 0733.65007) Full Text: DOI
Swetits, J. J.; Weinstein, S. E.; Xu, Yuesheng Approximation in \(L_ p[0,1]\) by n-convex functions. (English) Zbl 0722.41023 Numer. Funct. Anal. Optimization 11, No. 1-2, 167-179 (1990). MSC: 41A30 41A50 PDFBibTeX XMLCite \textit{J. J. Swetits} et al., Numer. Funct. Anal. Optim. 11, No. 1--2, 167--179 (1990; Zbl 0722.41023) Full Text: DOI
Ali, S. A.; Anastassiou, G. A.; Shisha, O. Discrete best \(L_ 1\), approximation in the gauges sense. (English) Zbl 0694.41032 Numer. Funct. Anal. Optimization 11, No. 5-6, 411-427 (1990). Reviewer: G.Anastassian MSC: 41A50 PDFBibTeX XMLCite \textit{S. A. Ali} et al., Numer. Funct. Anal. Optim. 11, No. 5--6, 411--427 (1990; Zbl 0694.41032) Full Text: DOI
Chalmers, B. L.; Metcalf, F. T. Determination of a minimal projection from C[-1,1] onto the quadratics. (English) Zbl 0689.41022 Numer. Funct. Anal. Optimization 11, No. 1-2, 1-10 (1990). Reviewer: L.Chalmers MSC: 41A50 41A10 41A65 65D15 PDFBibTeX XMLCite \textit{B. L. Chalmers} and \textit{F. T. Metcalf}, Numer. Funct. Anal. Optim. 11, No. 1--2, 1--10 (1990; Zbl 0689.41022) Full Text: DOI
Owens, R. W.; Sreedharan, V. P. An algorithm for approximation by elements of a cone in a Banach space. (English) Zbl 0686.90041 Numer. Funct. Anal. Optimization 10, No. 11-12, 1161-1189 (1989). Reviewer: R.W.Owens MSC: 90C48 46B99 41A50 PDFBibTeX XMLCite \textit{R. W. Owens} and \textit{V. P. Sreedharan}, Numer. Funct. Anal. Optim. 10, No. 11--12, 1161--1189 (1989; Zbl 0686.90041) Full Text: DOI
Sehgal, V. M.; Singh, S. P. A theorem on best approximations. (English) Zbl 0635.41022 Numer. Funct. Anal. Optimization 10, No. 1-2, 181-184 (1989). Reviewer: R.Artzy MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{V. M. Sehgal} and \textit{S. P. Singh}, Numer. Funct. Anal. Optim. 10, No. 1--2, 181--184 (1989; Zbl 0635.41022) Full Text: DOI
Park, Sehie On generalizations of KY Fan’s theorems on best approximations. (English) Zbl 0642.41017 Numer. Funct. Anal. Optimization 9, 619-628 (1987). Reviewer: S.Park MSC: 41A50 47H10 41A65 PDFBibTeX XMLCite \textit{S. Park}, Numer. Funct. Anal. Optim. 9, 619--628 (1987; Zbl 0642.41017) Full Text: DOI
Khalil, Roshdi Best approximation in \(L^ 1\). (English) Zbl 0629.41019 Numer. Funct. Anal. Optimization 9, 1031-1037 (1987). MSC: 41A65 41A50 PDFBibTeX XMLCite \textit{R. Khalil}, Numer. Funct. Anal. Optim. 9, 1031--1037 (1987; Zbl 0629.41019) Full Text: DOI
Zwick, D. Strong uniqueness of best spline approximation for a class of piecewise n-convex functions. (English) Zbl 0623.41011 Numer. Funct. Anal. Optimization 9, 371-379 (1987). MSC: 41A15 41A50 41A65 PDFBibTeX XMLCite \textit{D. Zwick}, Numer. Funct. Anal. Optim. 9, 371--379 (1987; Zbl 0623.41011) Full Text: DOI
Khalil, Roshdi Best approximation in tensor products. (English) Zbl 0636.41017 Numer. Funct. Anal. Optimization 8(1985-86), 347-356 (1986). Reviewer: N.Nashed MSC: 41A50 41A65 46M05 PDFBibTeX XMLCite \textit{R. Khalil}, Numer. Funct. Anal. Optim. 8, 347--356 (1986; Zbl 0636.41017) Full Text: DOI
Chalmers, Bruce L. Best approximation in finite-dimensional spaces. (English) Zbl 0641.41010 Numer. Funct. Anal. Optimization 8(1985-86), 435-446 (1986). Reviewer: G.D.Taylor MSC: 41A15 41A65 41A50 PDFBibTeX XMLCite \textit{B. L. Chalmers}, Numer. Funct. Anal. Optim. 8, 435--446 (1985; Zbl 0641.41010)
Abdelmalek, Nabih N. Chebyshev and \(L_ 1\) solutions of overdetermined systems of linear equations with bounded variables. (English) Zbl 0586.65031 Numer. Funct. Anal. Optimization 8(1985-86), 399-418 (1986). MSC: 65F20 PDFBibTeX XMLCite \textit{N. N. Abdelmalek}, Numer. Funct. Anal. Optim. 8, 399--418 (1985; Zbl 0586.65031) Full Text: DOI
Zwick, D. Alternants for generalized convex functions. (English) Zbl 0563.41023 Numer. Funct. Anal. Optimization 8(1985-86), 383-398 (1986). MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{D. Zwick}, Numer. Funct. Anal. Optim. 8, 383--398 (1985; Zbl 0563.41023) Full Text: DOI
Strauß, H. On semi-infinite optimization and Chebyshev approximation with constraints. (English) Zbl 0553.41029 Numer. Funct. Anal. Optimization 8, 153-171 (1985). MSC: 41A29 41A50 41A65 PDFBibTeX XMLCite \textit{H. Strauß}, Numer. Funct. Anal. Optim. 8, 153--171 (1985; Zbl 0553.41029) Full Text: DOI
Nürnberger, Günther Global unicity in semi-infinite optimization. (English) Zbl 0545.41037 Numer. Funct. Anal. Optimization 8, 173-191 (1985). MSC: 41A52 90C05 41A50 PDFBibTeX XMLCite \textit{G. Nürnberger}, Numer. Funct. Anal. Optim. 8, 173--191 (1985; Zbl 0545.41037) Full Text: DOI
Sommer, Manfred Parametric approximation by splines. (English) Zbl 0534.41010 Numer. Funct. Anal. Optimization 7, 1-21 (1984). MSC: 41A15 41A50 PDFBibTeX XMLCite \textit{M. Sommer}, Numer. Funct. Anal. Optim. 7, 1--21 (1984; Zbl 0534.41010) Full Text: DOI
Zălinescu, Constantin An algorithm for the best approximation by elements of a polyhedral set in Banach spaces. (English) Zbl 0606.65037 Numer. Funct. Anal. Optimization 6, 273-285 (1983). MSC: 65J05 41A65 41A50 PDFBibTeX XMLCite \textit{C. Zălinescu}, Numer. Funct. Anal. Optim. 6, 273--285 (1983; Zbl 0606.65037) Full Text: DOI
Owens, R. W. A characterization of an element of best simultaneous approximation. (English) Zbl 0564.41021 Numer. Funct. Anal. Optimization 6, 447-455 (1983). Reviewer: C.G.Lascarides MSC: 41A65 41A50 41A52 PDFBibTeX XMLCite \textit{R. W. Owens}, Numer. Funct. Anal. Optim. 6, 447--455 (1983; Zbl 0564.41021) Full Text: DOI
Strauss, Hans Comparison theorems for monosplines and best one-sided approximation. (English) Zbl 0541.41034 Numer. Funct. Anal. Optimization 6, 423-445 (1983). MSC: 41A55 41A15 41A50 PDFBibTeX XMLCite \textit{H. Strauss}, Numer. Funct. Anal. Optim. 6, 423--445 (1983; Zbl 0541.41034) Full Text: DOI
Nürnberger, Günther Strong unicity of best approximations: A numerical aspect. (English) Zbl 0541.41030 Numer. Funct. Anal. Optimization 6, 399-421 (1983). MSC: 41A52 41A15 65D15 65D99 PDFBibTeX XMLCite \textit{G. Nürnberger}, Numer. Funct. Anal. Optim. 6, 399--421 (1983; Zbl 0541.41030) Full Text: DOI Link
Zălinescu, Constantin Estimating the distance from a point to a convex set. (English) Zbl 0538.41047 Numer. Funct. Anal. Optimization 6, 287-289 (1983). MSC: 41A65 41A25 46B20 41A50 52Bxx PDFBibTeX XMLCite \textit{C. Zălinescu}, Numer. Funct. Anal. Optim. 6, 287--289 (1983; Zbl 0538.41047) Full Text: DOI
Brannigan, M. Uniform non-linear constrained approximation in normed linear spaces. (English) Zbl 0536.41031 Numer. Funct. Anal. Optimization 6, 341-361 (1983). MSC: 41A50 65F20 PDFBibTeX XMLCite \textit{M. Brannigan}, Numer. Funct. Anal. Optim. 6, 341--361 (1983; Zbl 0536.41031) Full Text: DOI
Sommer, Manfred Some results on best \(L_ 1\)-approximation of continuous functions. (English) Zbl 0534.41017 Numer. Funct. Anal. Optimization 6, 253-271 (1983). MSC: 41A52 41A30 41A50 41A63 PDFBibTeX XMLCite \textit{M. Sommer}, Numer. Funct. Anal. Optim. 6, 253--271 (1983; Zbl 0534.41017) Full Text: DOI
Deutsch, Frank; Nürnberger, Günther Weakly interpolating subspaces. (English) Zbl 0531.41002 Numer. Funct. Anal. Optimization 5, 267-288 (1983). Reviewer: C.G.Lascarides MSC: 41A05 41A50 41A65 46E10 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{G. Nürnberger}, Numer. Funct. Anal. Optim. 5, 267--288 (1983; Zbl 0531.41002) Full Text: DOI
Sommer, Manfred Continuous selections and convergence of best \(L_ p\)-approximations in subspaces of spline functions. (English) Zbl 0529.41012 Numer. Funct. Anal. Optimization 6, 213-234 (1983). MSC: 41A15 41A65 41A50 PDFBibTeX XMLCite \textit{M. Sommer}, Numer. Funct. Anal. Optim. 6, 213--234 (1983; Zbl 0529.41012) Full Text: DOI
Nürnberger, Günther Strong unicity constants for spline functions. (English) Zbl 0516.41011 Numer. Funct. Anal. Optimization 5, 319-347 (1983). MSC: 41A15 41A50 41A52 PDFBibTeX XMLCite \textit{G. Nürnberger}, Numer. Funct. Anal. Optim. 5, 319--347 (1983; Zbl 0516.41011) Full Text: DOI
Prolla, Joao B. Fixed-point theorems for set-valued mappings and existence of best approximants. (English) Zbl 0513.41015 Numer. Funct. Anal. Optimization 5, 449-455 (1983). MSC: 41A50 PDFBibTeX XMLCite \textit{J. B. Prolla}, Numer. Funct. Anal. Optim. 5, 449--455 (1983; Zbl 0513.41015) Full Text: DOI
Strauss, Hans Chebyshev approximations in subspaces of spline functions. (English) Zbl 0513.41006 Numer. Funct. Anal. Optimization 5, 421-445 (1983). MSC: 41A15 41A65 41A52 PDFBibTeX XMLCite \textit{H. Strauss}, Numer. Funct. Anal. Optim. 5, 421--445 (1983; Zbl 0513.41006) Full Text: DOI
Kroó, András On strong unicity of best approximation in \(C(R)\). (English) Zbl 0518.41023 Numer. Funct. Anal. Optim. 4, 437-443 (1982). MSC: 41A52 41A50 PDFBibTeX XMLCite \textit{A. Kroó}, Numer. Funct. Anal. Optim. 4, 437--443 (1982; Zbl 0518.41023) Full Text: DOI
Nürnberger, Günther A local version of Haar’s theorem in approximation theory. (English) Zbl 0506.41031 Numer. Funct. Anal. Optimization 5, 21-46 (1982). MSC: 41A52 41A15 41A30 PDFBibTeX XMLCite \textit{G. Nürnberger}, Numer. Funct. Anal. Optim. 5, 21--46 (1982; Zbl 0506.41031) Full Text: DOI
Sommer, Manfred; Strauss, Hans Unicity of best one-sided \(L_ 1-\)approximations for certain classes of spline functions. (English) Zbl 0498.41017 Numer. Funct. Anal. Optimization 4, 413-435 (1982). MSC: 41A52 41A15 41A30 41A50 41A55 PDFBibTeX XMLCite \textit{M. Sommer} and \textit{H. Strauss}, Numer. Funct. Anal. Optim. 4, 413--435 (1982; Zbl 0498.41017) Full Text: DOI
Nürnberger, Günther; Braess, Dietrich Nonuniqueness of best \(L_ p-\)approximation for generalized convex functions by splines with free knots. (English) Zbl 0489.41015 Numer. Funct. Anal. Optimization 4(1981), 199-209 (1982). MSC: 41A15 41A50 PDFBibTeX XMLCite \textit{G. Nürnberger} and \textit{D. Braess}, Numer. Funct. Anal. Optim. 4, 199--209 (1982; Zbl 0489.41015) Full Text: DOI
Blatt, Hans-Peter; Nürnberger, Günther; Sommer, Manfred A characterization of pointwise-Lipschitz-continuous selections for the metric projection. (English) Zbl 0488.41034 Numer. Funct. Anal. Optimization 4(1981), 101-121 (1982). MSC: 41A65 41A50 41A30 41A15 PDFBibTeX XMLCite \textit{H.-P. Blatt} et al., Numer. Funct. Anal. Optim. 4, 101--121 (1982; Zbl 0488.41034) Full Text: DOI
Light, William A. Convergence of the Diliberto-Straus algorithm in \(L_ 1(\)XxY). (English) Zbl 0472.65011 Numer. Funct. Anal. Optimization 3, 137-146 (1981). MSC: 65D15 41A50 PDFBibTeX XMLCite \textit{W. A. Light}, Numer. Funct. Anal. Optim. 3, 137--146 (1981; Zbl 0472.65011) Full Text: DOI
Sklar, Michael G. \(L_\infty\) norm estimation with linear restrictions on the parameters. (English) Zbl 0463.65042 Numer. Funct. Anal. Optimization 3, 53-68 (1981). MSC: 65K05 90C05 41A50 PDFBibTeX XMLCite \textit{M. G. Sklar}, Numer. Funct. Anal. Optim. 3, 53--68 (1981; Zbl 0463.65042) Full Text: DOI
Dierieck, C. Applications of a separation principle in good and best approximation theory. (English) Zbl 0463.41018 Numer. Funct. Anal. Optimization 3, 169-183 (1981). MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{C. Dierieck}, Numer. Funct. Anal. Optim. 3, 169--183 (1981; Zbl 0463.41018) Full Text: DOI
Grimard, Irene; Bacopoulos, Alexis Computation of best simultaneous approximations with a singularity. (English) Zbl 0469.65009 Numer. Funct. Anal. Optimization 2, 543-578 (1980). MSC: 65D15 41A50 PDFBibTeX XMLCite \textit{I. Grimard} and \textit{A. Bacopoulos}, Numer. Funct. Anal. Optim. 2, 543--578 (1980; Zbl 0469.65009) Full Text: DOI
Armstrong, Ronald D.; Sklar, Michael G. A linear programming algorithm for curve fitting in the \(L_{\infty}\) norm. (English) Zbl 0448.65008 Numer. Funct. Anal. Optimization 2, 187-218 (1980). MSC: 65D15 65D10 65-04 65K05 90C05 65F20 PDFBibTeX XMLCite \textit{R. D. Armstrong} and \textit{M. G. Sklar}, Numer. Funct. Anal. Optim. 2, 187--218 (1980; Zbl 0448.65008) Full Text: DOI
Eichner, L. Existence of best nonlinear \(L_p\)-approximations. (English) Zbl 0447.41022 Numer. Funct. Anal. Optimization 2, 421-439 (1980). MSC: 41A65 41A50 41A46 34A30 PDFBibTeX XMLCite \textit{L. Eichner}, Numer. Funct. Anal. Optim. 2, 421--439 (1980; Zbl 0447.41022) Full Text: DOI
Brannigan, M. Uniform linear approximation in normed linear spaces. (English) Zbl 0438.41024 Numer. Funct. Anal. Optimization 2, 79-91 (1980). MSC: 41A65 41A45 41A50 PDFBibTeX XMLCite \textit{M. Brannigan}, Numer. Funct. Anal. Optim. 2, 79--91 (1980; Zbl 0438.41024) Full Text: DOI
von Golitschek, M.; Cheney, E. W. On the algorithm of Diliberto and Straus for approximating bivariate functions by univariate ones. (English) Zbl 0479.41026 Numer. Funct. Anal. Optimization 1, 341-363 (1979). MSC: 41A50 65D15 PDFBibTeX XMLCite \textit{M. von Golitschek} and \textit{E. W. Cheney}, Numer. Funct. Anal. Optim. 1, 341--363 (1979; Zbl 0479.41026) Full Text: DOI