## Found 495 Documents (Results 1–100)

100
MathJax

### Optimality of constants in power-weighted Birman-Hardy-Rellich-type inequalities with logarithmic refinements. (English. French summary)Zbl 07523616

MSC:  26D10 35A23 41A44
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### On asymptotically optimal cubatures for multidimensional Sobolev spaces. (English)Zbl 07512240

MSC:  41A55 41A44 26D10
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### On the norms of Boman-Shapiro difference operators. (English. Russian original)Zbl 1482.41004

Proc. Steklov Inst. Math. 315, Suppl. 1, S55-S66 (2021); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 26, No. 4, 64-75 (2020).
MSC:  41A17 41A44 47B39
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### On the optimal constants in the two-sided Stechkin inequalities. (English)Zbl 1473.41002

MSC:  41A17 41A44 46E30
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### Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces. (English)Zbl 1466.41008

MSC:  41A27 41A44 42A16
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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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### Classes of convolutions with a singular family of kernels: sharp constants for approximation by spaces of shifts. (English. Russian original)Zbl 1462.41005

St. Petersbg. Math. J. 32, No. 2, 233-260 (2021); translation from Algebra Anal. 32, No. 2, 45-84 (2020).
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### One problem of extremal functional interpolation and the Favard constants. (English. Russian original)Zbl 07424669

Dokl. Math. 102, No. 3, 41A44474-477 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 34-37 (2020).
MSC:  41A05 11B68 41A44
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### Efficient computation of Favard constants and their connection to Euler polynomials and numbers. (English)Zbl 07308388

MSC:  11B68 41A05 41A44
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### Sobolev trace inequality on $$W^{s, q}( {\mathbb R}^n )$$. (English)Zbl 1469.46032

MSC:  46E35 41A44 26A33
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### Simultaneous approximation of Birkhoff interpolation and the associated sharp inequalities. (English)Zbl 1446.41010

MSC:  41A44 41A80
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### Exact constants in Telyakovskii’s two-sided estimate of the sum of a sine series with convex sequence of coefficients. (English. Russian original)Zbl 1442.42005

Math. Notes 107, No. 6, 988-1001 (2020); translation from Mat. Zametki 107, No. 6, 906-921 (2020).
MSC:  42A05 41A44
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### Explicit error estimates for spline approximation of arbitrary smoothness in isogeometric analysis. (English)Zbl 1483.65026

MSC:  65D07 41A15 41A44
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### Sharp constants of approximation theory. I. Multivariate Bernstein-Nikolskii type inequalities. (English)Zbl 1434.41005

MSC:  41A17 41A44
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### A kind of sharp Wirtinger inequality. (English)Zbl 07459194

MSC:  41A44 41A80
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### The Betti numbers of the space $$\mathbb{C}\Omega_3$$. (English)Zbl 07437687

MSC:  41A10 41A44 46E20
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### The homology groups of the space $$\Omega_n(m)$$. (English)Zbl 07437680

MSC:  41A10 41A44 46E20
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### Extremal problems for non-periodic splines on real domain and their derivatives. (Ukrainian. English summary)Zbl 1483.41002

MSC:  41A15 41A17 41A44
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### The Bojanov-Naidenov problem for trigonometric polynomials and periodic splines. (English)Zbl 1483.41003

MSC:  41A17 41A15 41A44
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### On the Lebesgue constant of weighted Leja points for Lagrange interpolation on unbounded domains. (English)Zbl 1465.41001

MSC:  41A05 41A44
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### V. Markov’s problem for $$k$$-absolutely monotone polynomials and applications. (English)Zbl 1443.41007

MSC:  41A17 41A29 41A44
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### Best linear approximation methods for some classes of analytic functions on the unit disk. (English. Russian original)Zbl 1444.41006

Sib. Math. J. 60, No. 6, 1101-1108 (2019); translation from Sib. Mat. Zh. 60, No. 6, 1414-1423 (2019).
MSC:  41A44 30H20 41A46
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### Upper and lower bounds for the optimal constant in the extended Sobolev inequality. Derivation and numerical results. (English)Zbl 1428.26047

MSC:  26D15 41A44
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### Approximation in FEM, DG and IGA: a theoretical comparison. (English)Zbl 1428.41009

MSC:  41A15 41A44 65D07
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### An exact inequality of Jackson-Chernykh type for spline approximations of periodic functions. (English. Russian original)Zbl 1459.41003

Sib. Math. J. 60, No. 3, 412-428 (2019); translation from Sib. Mat. Zh. 60, No. 3, 537-555 (2019).
MSC:  41A17 41A15 41A44
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### Sharp constants of discrete Sobolev inequalities on a cyclic rectangular lattice. (English)Zbl 1423.05104

MSC:  05C50 41A44 46E39
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### Exact constants for simultaneous approximation of Sobolev classes by piecewise Hermite interpolation. (English)Zbl 1438.41043

MSC:  41A44 41A80
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### Generalized characteristics of smoothness and some extreme problems of the approximation theory of functions in the space $$L_2(\mathbb{R})$$. I. (English. Russian original)Zbl 1428.41015

Ukr. Math. J. 70, No. 9, 1345-1374 (2019); translation from Ukr. Mat. Zh. 70, No. 9, 1166-1191 (2018).
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### Sharp constants for approximations of convolution classes with an integrable kernel by spaces of shifts. (English. Russian original)Zbl 1423.41016

St. Petersbg. Math. J. 30, No. 5, 841-867 (2019); translation from Algebra Anal. 30, No. 5, 112-148 (2018).
MSC:  41A17 41A44
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### Optimal spline spaces for $$L^2\ n$$-width problems with boundary conditions. (English)Zbl 1416.41007

MSC:  41A15 41A44 47G10
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### Sharp estimates of asymptotic error of approximation by general positive linear operators in terms of the first and the second moduli of continuity. (English)Zbl 1416.41030

MSC:  41A36 41A25 41A44
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### Markov factors on average – an $$L_2$$ case. (English)Zbl 07043335

MSC:  41A17 41A44
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MSC:  41A44
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### On the dependence of the norm of a multiply monotone function on the norms of its derivatives. (English. Ukrainian original)Zbl 1416.41012

Ukr. Math. J. 70, No. 7, 1001-1011 (2018); translation from Ukr. Mat. Zh. 70, No. 7, 867-875 (2018).
MSC:  41A17 47A30 41A44
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### A note on some approximation kernels on the sphere. (English)Zbl 1405.41022

Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer (ISBN 978-3-319-72455-3/hbk; 978-3-319-72456-0/ebook). 443-453 (2018).
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### Estimates of functions, orthogonal to piecewise constant functions, in terms of the second modulus of continuity. (English. Russian original)Zbl 1401.41013

J. Math. Sci., New York 234, No. 3, 330-337 (2018); translation from Zap. Nauchn. Semin. POMI 456, 96-106 (2017).
MSC:  41A17 41A44
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### Sharp estimates for mean square approximations of classes of differentiable periodic functions by shift spaces. (English. Russian original)Zbl 1402.41003

Vestn. St. Petersbg. Univ., Math. 51, No. 1, 15-22 (2018); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 1, 20-29 (2018).
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### On asymptotics of the sharp constants of the Markov-Bernshtein inequalities for the Sobolev spaces. (English)Zbl 1400.41022

MSC:  41A44 26D05
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### Numerical integration using integrals over hyperplane sections of simplices in a triangulation of a polytope. (English)Zbl 06940690

MSC:  65D32 33C45 41A44
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### Optimal recovery of multivariate functions restricted by second-order differential operator. (English)Zbl 1393.41008

MSC:  41A44 26D10 65D15
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### Asymptotic constant in approximation of twice differentiable functions by a class of positive linear operators. (English)Zbl 1393.41007

MSC:  41A36 41A25 41A44
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### Nikol’skii type inequality; Bessel weight; extremal functions; extremal constants. (English)Zbl 1424.47026

MSC:  47A30 41A44 41A17
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### On the norms and minimal properties of de la Vallée Poussin’s type operators. (English)Zbl 1395.42002

MSC:  42A10 47A58 41A44
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### A multivariate version of Hammer’s inequality and its consequences in numerical integration. (English)Zbl 06859346

MSC:  65D32 33C45 41A44
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### Estimates for the best constant in a Markov $$L_2$$-inequality with the assistance of computer algebra. (English)Zbl 1474.41071

MSC:  41A44 41A10 41A17
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### Optimal asymptotic Lebesgue constant of Berrut’s rational interpolation operator for equidistant nodes. (English)Zbl 1411.41019

MSC:  41A44 41A20 65D05
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### Lebesgue constants arising in a class of collocation methods. (English)Zbl 1433.41009

MSC:  41A55 41A44 65D30
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### Best constants for a class of Hausdorff operators on Lebesgue spaces. (Chinese. English summary)Zbl 1399.42063

MSC:  42B25 42B35 41A44
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### A hierarchical structure for the sharp constants of discrete Sobolev inequalities on a weighted complete graph. (English)Zbl 1390.46040

MSC:  46E39 41A44 05C50
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### Sharp Jackson type inequalities for spline approximation on the axis. (English)Zbl 1399.41012

MSC:  41A15 41A17 41A44
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### Estimates for weighted $$K$$-functionals using the least concave majorant of weighted moduli of continuity. (English)Zbl 1381.41011

MSC:  41A17 26A15 41A44
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### Asymptotically sharp inequalities for polynomials involving mixed Gegenbauer norms. (English)Zbl 1376.41027

MSC:  41A44 41A17 15A60
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### Exact constants in Jackson-type inequalities for the best mean square approximation in $$L_2(\mathbb{R})$$ and exact values of mean $$\nu$$-widths of the classes of functions. (English. Ukrainian original)Zbl 1371.41037

J. Math. Sci., New York 224, No. 4, 582-603 (2017); translation from Ukr. Mat. Visn. 13, No. 4, 543-569 (2016).
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### A harmonic mean inequality for the digamma function and related results. (English)Zbl 1366.33003

MSC:  33B15 39B62 41A44
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### On the constants in Markov inequalities for the Laplace operator on polynomials with the Laguerre norm. (English)Zbl 1365.41013

MSC:  41A44 26D15
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### Generalized alomari functionals. (English)Zbl 1364.41018

MSC:  41A55 41A44 65D30
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### Optimal spline spaces of higher degree for $$L^2$$ $$n$$-widths. (English)Zbl 1358.41007

MSC:  41A15 41A44 47G10
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### Schatten class integral operators occurring in Markov-type inequalities. (English)Zbl 1377.47009

Eisner, Tanja (ed.) et al., Operator theory, function spaces, and applications. International workshop on operator theory and applications, Amsterdam, The Netherlands, July 14–18, 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-31381-8/hbk; 978-3-319-31383-2/ebook). Operator Theory: Advances and Applications 255, 91-104 (2016).
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### The best constants in the Wirtinger inequality. (English)Zbl 1354.41025

MSC:  41A44 41A80
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### On the best constants in Sobolev inequalities on the solid torus in the limit case $$p = 1$$. (English)Zbl 1359.46033

MSC:  46E35 41A44 35B33
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### Two types of discrete Sobolev inequalities on a weighted Toeplitz graph. (English)Zbl 1343.05097

MSC:  05C50 41A44 46E39
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### Best constant in stability of some positive linear operators. (English)Zbl 1353.39028

MSC:  39B82 41A35 41A44
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