## Found 6,634 Documents (Results 1–100)

100
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### The Chebyshev set problem in Riesz space. (English)Zbl 07525264

MSC:  41-XX 41A50 46A40
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### Best approximations in a class of Lorentz ideals. (English)Zbl 07511281

MSC:  41A50 47B10 47B35
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### Extremal interpolation with the least value of the norm of the second derivative in $$L_p(\mathbb{R})$$. (English. Russian original)Zbl 07503384

Izv. Math. 86, No. 1, 203-219 (2022); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 1, 219-236 (2022).
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### Approximate calculation of the Chebyshev center for a convex compact set in $$\mathbb{R}^n$$. (English)Zbl 07499213

MSC:  52A20 90C05 41A50
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### Best $$k$$-layer neural network approximations. (English)Zbl 07493726

MSC:  68-XX 41A50 41A30
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### Estimates of approximating characteristics and the properties of the operators of best approximation for the classes of periodic functions in the space $$B_{1,1}$$. (English. Ukrainian original)Zbl 07491010

Ukr. Math. J. 73, No. 8, 1278-1298 (2022); translation from Ukr. Mat. Zh. 73, No. 8, 1102-1119 (2021).
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### Inverse theorems on the approximation of periodic functions with high generalized smoothness. (English. Russian original)Zbl 07488510

Math. Notes 111, No. 2, 320-323 (2022); translation from Mat. Zametki 111, No. 2, 312-315 (2022).
MSC:  42A10 41A50 46E35
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### Exact solutions to a nonlinear partial differential equation: the Product-of-Curvatures Poisson $$(u_{x x} u_{y y} = 1)$$. (English)Zbl 07472414

MSC:  33F05 42A10 41A50
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### Ridge functions and applications in neural networks. (English)Zbl 07498870

Mathematical Surveys and Monographs 263. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6765-4/pbk; 978-1-4704-6800-2/ebook). ix, 186 p. (2021).
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### Weighted Chebyshev polynomials on compact subsets of the complex plane. (English)Zbl 1483.30023

Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 357-370 (2021).
MSC:  30C10 30E10 41A50
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### On min-max affine approximants of convex or concave real-valued functions from $$\mathbb{R}^k$$, Chebyshev equioscillation and graphics. (English)Zbl 07451979

Hirn, Matthew (ed.) et al., Excursions in harmonic analysis, Volume 6. In honor of John Benedetto’s 80th birthday. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 373-383 (2021).
MSC:  41A50 90C90
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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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### Birkhoff-James orthogonality and applications: a survey. (English)Zbl 1482.46017

Bastos, M. Amélia (ed.) et al., Operator theory, functional analysis and applications. Proceedings of the 30th international workshop on operator theory and its applications, IWOTA 2019, Lisbon, Portugal, July 22–26, 2019. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 282, 293-315 (2021).
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### Coproximinality of linear subspaces in generalized Minkowski spaces. (English)Zbl 1481.41016

MSC:  41A50 51B20
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### Order estimates of the uniform approximations by Zygmund sums on the classes of convolutions of periodic functions. (English)Zbl 1476.41014

MSC:  41A46 41A50
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### Relation between Fourier series and Wiener algebras. (English. Ukrainian original)Zbl 1469.42008

J. Math. Sci., New York 256, No. 6, 785-802 (2021); translation from Ukr. Mat. Visn. 18, No. 1, 80-103 (2021).
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### Method of orthogonal polynomials for an approximate solution of singular integro-differential equations as applied to two-dimensional diffraction problems. (English. Russian original)Zbl 07373283

Differ. Equ. 57, No. 6, 814-823 (2021); translation from Differ. Uravn. 57, No. 6, 830-839 (2021).
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### Monotone path-connectedness of Chebyshev sets in three-dimensional spaces. (English. Russian original)Zbl 1472.41019

Sb. Math. 212, No. 5, 636-654 (2021); translation from Mat. Sb. 212, No. 5, 37-57 (2021).
MSC:  41A65 41A50 46A55
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### Properties of monotone connected sets. (English. Russian original)Zbl 1479.46018

Math. Notes 109, No. 5, 819-827 (2021); translation from Mat. Zametki 109, No. 5, 781-792 (2021).
MSC:  46B20 41A50 41A65
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### A Chebyshev-type theorem characterizing best approximation of a continuous function by elements of the sum of two algebras. (English. Russian original)Zbl 1468.41011

Math. Notes 109, No. 1, 15-20 (2021); translation from Mat. Zametki 109, No. 1, 19-26 (2021).
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### Study of minimal invariant pairs for relatively nonexpansive mappings with respect to orbits. (English)Zbl 1475.90127

MSC:  90C48 41A50
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### Efficient and accurate Chebyshev dual-Petrov-Galerkin methods for odd-order differential equations. (English)Zbl 1474.65460

MSC:  65N35 65N30 41A50
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### Reconstruction of functions from prescribed proximal points. (English)Zbl 1472.41014

MSC:  41A50 41A29 41A65
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### Chebyshev multivariate polynomial approximation and point reduction procedure. (English)Zbl 1470.90097

MSC:  90C26 41A15 41A50
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MSC:  41A50
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MSC:  41A50
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### Convergence rates on spectral orthogonal projection approximation for functions of algebraic and logarithmatic regularities. (English)Zbl 1465.41003

MSC:  41A10 41A25 41A50
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### Multiplicator type operators and approximation of periodic functions of one variable by trigonometric polynomials. (English. Russian original)Zbl 1464.42001

Sb. Math. 212, No. 2, 234-264 (2021); translation from Mat. Sb. 212, No. 2, (2021).
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### Sharp inequalities of Jackson-Stechkin type and widths of classes of functions in $$L_2$$. (Russian. English translation)Zbl 1474.42012

Ufim. Mat. Zh. 13, No. 1, 56-68 (2021); translation in Ufa Math. J. 13, No. 1, 56-67 (2021).
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### A note on uniquely remotal sets in 2-Banach spaces. (English)Zbl 1474.46031

MSC:  46B20 41A50 41A65
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### Best low-rank approximations and Kolmogorov $$n$$-widths. (English)Zbl 07331676

MSC:  65F55 41A50 41A52
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### Approximations on classes of Poisson integrals by Fourier-Chebyshev rational integral operators. (English. Russian original)Zbl 1460.42003

Sib. Math. J. 62, No. 2, 292-312 (2021); translation from Sib. Mat. Zh. 62, No. 2, 362-386 (2021).
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### Norm estimates for Chebyshev polynomials, I. (English)Zbl 1462.41012

MSC:  41A50 30C10 30E10
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### Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness. (English. Ukrainian original)Zbl 1462.41013

J. Math. Sci., New York 252, No. 4, 526-540 (2021); translation from Ukr. Mat. Visn. 17, No. 3, 396-413 (2020).
MSC:  41A50 42A10
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### Approximation of the Lebesgue constant of a Lagrange polynomial by a logarithmic function with shifted argument. (English. Russian original)Zbl 1459.42005

J. Math. Sci., New York 252, No. 3, 445-452 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 153, 151-157 (2018).
MSC:  42A15 41A50 41A10
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### On the numerical solution of optimal control problems via Bell polynomials basis. (English)Zbl 07497021

MSC:  49J15 65M70 41A50
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### Pointwise best coapproximation in the space of Bochner integrable functions. (English)Zbl 07473689

MSC:  41A50 41A52 41A65

### Multivalued weak cyclic $$\delta$$-contraction mappings. (English)Zbl 07461024

MSC:  41A50 47H10 54H25
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### Best proximity point results via simulation functions in metric-like spaces. (English)Zbl 07415811

MSC:  47H10 41A50 54H25
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### Chebyshev polynomials. From approximation theory to algebra and number theory. Corrected reprint of the 1990 2nd edition. (English)Zbl 1458.41001

Mineola, NY: Dover Publications (ISBN 978-0-486-84233-2/pbk). xiii, 254 p. (2020).
MSC:  41-01 41A50 41A05

### Further results on the zeros of the derivative of oscillating polynomials with Laguerre weight. (English)Zbl 1460.26016

Draganov, Borislav (ed.) et al., Constructive theory of functions. Proceedings of the 13th international conference, Sozopol, Bulgaria, June 2–8, 2019. Dedicated to the memory of Blagovest Sendov. Sofia: Prof. Marin Drinov Academic Publishing House. 147-155 (2020).
MSC:  26C10 41A50 65H04
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### Approximative characteristics of the Nikol’skii-Besov-type classes of periodic functions in the space $$B_{\infty,1}$$. (English)Zbl 1458.41009

MSC:  41A46 41A50
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### Research progress of the best approximation problems based on Banach space geometry. (Chinese. English summary)Zbl 1463.41068

MSC:  41A50 41A65
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MSC:  41A50
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### Uniform approximation of differentiation operators by bounded linear operators in the space $$L_r$$. (English)Zbl 1474.41035

MSC:  41A35 26D10 41A50
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### Chebyshev approximation by a rational expression for functions of many variables. (English. Russian original)Zbl 1458.65017

Cybern. Syst. Anal. 56, No. 5, 811-819 (2020); translation from Kibern. Sist. Anal. 2020, No. 5, 146-156 (2020).
MSC:  65D15 41A50
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### Chebyshev approximation of functions of several variables. (English. Russian original)Zbl 1455.65030

Cybern. Syst. Anal. 56, No. 1, 118-125 (2020); translation from Kibern. Sist. Anal. 2020, No. 1, 138-146 (2020).
MSC:  65D15 41A50
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