## Found 458 Documents (Results 1–100)

100
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### The best proximity pair focusing on monotonicity and $$T$$-absolutely direct sets. (English)Zbl 1481.41018

MSC:  41A65 41A52
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### Extension of the best polynomial approximation operator in Musielak-Orlicz spaces. (English)Zbl 07393055

MSC:  41A10 41A50 41A52
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### Best low-rank approximations and Kolmogorov $$n$$-widths. (English)Zbl 07331676

MSC:  65F55 41A50 41A52
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### Best uniform approximation of the differentiation operator by operators bounded in the space $$L_2$$. (English. Russian original)Zbl 1472.41013

Proc. Steklov Inst. Math. 308, Suppl. 1, 9-30 (2020); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 4, 34-56 (2018).
MSC:  41A50 41A52
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### The uniqueness of the best non-symmetric $$L_1$$-approximant with a weight for continuous functions with values in KB-space. (English)Zbl 07437683

MSC:  41A52 41A65 46B40
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### Best coapproximation in quotient spaces. (English)Zbl 1455.41007

MSC:  41A50 41A52 41A65
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### Extensions of linear operators from hyperplanes and strong uniqueness of best approximation in $$\mathcal{L}(X, W)$$. (English)Zbl 1428.46013

MSC:  46B20 41A52 41A65
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### Some results on convergence and existence of best proximity points. (English)Zbl 1408.41027

MSC:  41A65 41A52 46N10
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### Existence and convergence theorems for best proximity points. (English)Zbl 1379.41029

MSC:  41A52 41A65
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### Proximinality and remotality in normed linear spaces. (English)Zbl 1408.41032

MSC:  41A65 41A52 46N10
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### Best proximity points for semi-cyclic contraction pairs in regular cone metric spaces. (English)Zbl 1381.41030

MSC:  41A65 41A52 46N10

### Strongly proximinal sets are convex. (English)Zbl 1374.41049

MSC:  41A50 41A52 41A65
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### Best $$L_{1}$$ approximation of Heaviside-type functions from Chebyshev and weak-Chebyshev spaces. (English)Zbl 1379.41025

MSC:  41A50 41A10 41A52
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### Best approximation in metric spaces. (English)Zbl 1369.41032

MSC:  41A50 41A52 41A65
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### Best approximation by logarithmically concave classes of functions. (English)Zbl 1369.41024

Govil, Narenda Kumar (ed.) et al., Progress in approximation theory and applicable complex analysis. In memory of Q.I. Rahman. Cham: Springer (ISBN 978-3-319-49240-7/hbk; 978-3-319-49242-1/ebook). Springer Optimization and Its Applications 117, 317-339 (2017).
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### Best approximation and best coapproximation in metric linear spaces. (English)Zbl 1413.41036

MSC:  41A50 41A52 41A65
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### Common best proximity points for cyclic $$\phi$$-contraction maps. (English)Zbl 1386.41011

MSC:  41A65 41A52 46N10
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### Best simultaneous approximation in quotient spaces. (English)Zbl 1366.41015

Cushing, Jim M. (ed.) et al., Applied analysis in biological and physical sciences. ICMBAA, Aligarh, India, June 4–6, 2015. New Delhi: Springer (ISBN 978-81-322-3638-2/hbk; 978-81-322-3640-5/ebook). Springer Proceedings in Mathematics & Statistics 186, 339-349 (2016).
MSC:  41A28 41A52 41A65
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### On best approximation and best coapproximation. (English)Zbl 1365.41017

MSC:  41A50 41A52 41A65
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### On $$\varepsilon$$-coapproximation in quotient spaces. (English)Zbl 1343.41001

MSC:  41A50 41A52 54B15

### Chebyshev sets in geodesic spaces. (English)Zbl 1347.41037

MSC:  41A52 41A65
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MSC:  41A52

### Chebyshev subspaces of JBW$$^{\ast}$$-triples. (Čebyšëv subspaces of JBW$$^{\ast}$$-triples.) (English)Zbl 1334.41039

MSC:  41A50 41A52 41A65
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### Some approximation problems in semi-algebraic geometry. (English)Zbl 1338.14055

Białas-Cież, Leokadia (ed.) et al., Constructive approximation of functions. Selected papers based on the presentations at the conference, Bȩdlewo, Poland, June 29 – July 5, 2014. Warsaw: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-30-0/pbk). Banach Center Publications 107, 133-147 (2015).
MSC:  14P10 41A52 41A65
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### An analog of the Haar condition for simple partial fractions. (English. Russian original)Zbl 1351.41023

J. Math. Sci., New York 208, No. 2, 174-180 (2015); translation from Probl. Mat. Anal. 80, 25-30 (2015).
MSC:  41A52 41A20
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### Chebyshev polynomials and best approximation of some classes of functions. (English)Zbl 1323.41027

MSC:  41A50 41A52
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### Linear approximation of vector functions. (English. Russian original)Zbl 1326.41032

Proc. Steklov Inst. Math. 288, Suppl. 1, S40-S45 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 4, 38-43 (2014).
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### Strong approximative compactness and strong proximinality in metric linear spaces. (English)Zbl 1323.41029

MSC:  41A50 41A52 41A65

### Some new results on remotal points in normed spaces. (English)Zbl 1408.41030

MSC:  41A65 41A52 46N10
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### The linearity coefficient of metric projections onto one-dimensional Chebyshev subspaces of the space $$C$$. (English. Russian original)Zbl 1321.41048

Math. Notes 96, No. 4, 556-562 (2014); translation from Mat. Zametki 96, No. 4, 588-595 (2014).
MSC:  41A65 41A52 41A40
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### A note on generalized projections in $$c_{0}$$. (English)Zbl 1311.47015

MSC:  47A58 41A52
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### Uniqueness of minimal Fourier-type extensions in $$L_1$$-spaces. (English)Zbl 1270.41007

MSC:  41A35 41A52 46E30
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### The best uniform polynomial approximation of two classes of rational functions. (English)Zbl 1303.41013

MSC:  41A50 41A52
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### A monotone path connected Chebyshev set is a sun. (English. Russian original)Zbl 1285.41018

Math. Notes 91, No. 2, 290-292 (2012); translation from Mat. Zametki 91, No. 2, 305-307 (2012).
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### A complete algorithm to find exact minimal polynomial by approximations. (English)Zbl 1257.41017

MSC:  41A52 65D99 68W30
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### Chalmers-Metcalf operator and uniqueness of minimal projections in $$\ell^{n}_{\infty}$$ and $$\ell^{n}_{1}$$ spaces. (English)Zbl 1263.41014

Neamtu, Marian (ed.) et al., Approximation theory XIII: San Antonio 2010. Selected papers based on the presentations at the conference, San Antonio, TX, USA, March 7–10, 2010. New York, NY: Springer (ISBN 978-1-4614-0771-3/hbk; 978-1-4614-0772-0/ebook). Springer Proceedings in Mathematics 13, 331-344 (2012).
MSC:  41A35 41A52
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### On the convexity of $$N$$-Chebyshev sets. (English. Russian original)Zbl 1239.46013

Izv. Math. 75, No. 5, 889-914 (2011); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 75, No. 5, 19-46 (2011).
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### A note on reflexivity and nonconvexity. (English)Zbl 1244.47047

MSC:  47H08 41A52 47H10
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### On uniform constants of strong uniqueness in Chebyshev approximations and fundamental results of N. G. Chebotarev. (English. Russian original)Zbl 1229.41030

Izv. Math. 75, No. 3, 603-630 (2011); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 2011, No. 3, 161-188 (2011).
MSC:  41A50 41A52
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### The unicity of best approximation in a space of compact operators. (English)Zbl 1208.41022

MSC:  41A65 41A52
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### Asymptotic uniqueness of best rational approximants to complex Cauchy transforms in $$L^2$$ of the circle. (English)Zbl 1204.41021

Arvesú, Jorge (ed.) et al., Recent trends in orthogonal polynomials and approximation theory. International workshop in honor of Guillermo López Lagomasino’s 60th birthday, Universidad Carlos III de Madrid, Leganés, Spain. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4803-6/pbk). Contemporary Mathematics 507, 87-111 (2010).
MSC:  41A52 41A20 30E10
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### On $$f$$-best approximation in quotient topological vector spaces. (English)Zbl 1195.41034

MSC:  41A65 41A50 41A52
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### The basic theorem and its consequences. (English)Zbl 1301.41020

MSC:  41A52 41A65
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### On lower semicontinuity of the restricted center multifunction. (English)Zbl 1212.41058

MSC:  41A28 41A52 41A65

### On best approximations of polynomials in matrices in the matrix 2-norm. (English)Zbl 1190.41011

MSC:  41A52 15A60 65F35
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### Strong unicity of best approximations from $$RS$$-sets in spaces of complex bounded linear operators. (Chinese. English summary)Zbl 1199.41183

MSC:  41A65 41A52

### Universal $$L^s$$-rate-optimality of $$L^r$$-optimal quantizers by dilatation and contraction. (English)Zbl 1193.60055

MSC:  60G35 41A52 60G15
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### Best approximation in Chebyshev subspaces of $${\mathcal L}(l_1^n,l_1^n)$$. (English)Zbl 1182.41025

MSC:  41A50 41A52 41A05
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### Differentiability of distance functions in $$p$$-normed spaces. (English)Zbl 1175.41027

MSC:  41A52 41A65 58C20
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### Strongly unique best approximation in linear 2-normed spaces. (English)Zbl 1179.41029

MSC:  41A50 41A52

### The best uniform polynomial approximation to class of the form $$\frac{1}{(a^2\pm x^2)}$$. (English)Zbl 1171.41310

MSC:  41A50 41A52
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### Čebyšev sets in hyperspaces over $$\mathbb{R}^{n}$$. (English)Zbl 1167.41005

MSC:  41A52 52A20
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### An inequality for generalized spline functions. (English)Zbl 1212.41032

Acu, Dumitru (ed.) et al., Proceedings of the 5th international symposium “Mathematical inequalities”, Sibiu, Romania, September 25–27, 2008. Sibiu: “Lucian Blaga” University Press (ISBN 978-973-739-740-9). 33-39 (2008).

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### Best simultaneous coapproximation in linear 2- normed spaces. (English)Zbl 1160.41311

MSC:  41A50 41A52 41A28
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### Well posed optimization problems and nonconvex Chebyshev sets in Hilbert spaces. (English)Zbl 1161.41010

MSC:  41A65 41A52
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### Some Čebyšev sets with dimension $$d+1$$ in hyperspaces over $$\mathbb{R}^d$$. (English)Zbl 1162.41008

MacG. Dawson, Robert J. (ed.) et al., Convex and fractal geometry. Papers of the conference, Będlewo, Poland, May 21–26, 2007. Warsaw: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-03-4/pbk). Banach Center Publications 84, 89-110 (2009).

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