Found 767 Documents (Results 1–100)
Some inequalities involving the sums \(\sum\sin\frac{A}{2}\) and \(\sum\cos\frac{A}{2}\). (English) Zbl 07907985
The best possible constants approach for Wilker-Cusa-Huygens inequalities via stratification. (English) Zbl 07877085
Chebyshev polynomials corresponding to a vanishing weight. (English) Zbl 07870170
Reviewer: Klaus Schiefermayr (Wels)
The best constant for inequality involving the sum of the reciprocals and product of positive numbers with unit sum. (English) Zbl 1540.26007
The best majoration for the sums \(\sum\sin\frac{A}{2},\sum\cos\frac{A}{2},\sum\frac{1}{\sin\frac{A}{2}}\) and \(\sum\frac{1}{\cos\frac{A}{2}}\) in a triangle. (English) Zbl 07846012
Approximation of periodic functions of high generalized smoothness by Fourier sums. (English. Russian original) Zbl 1540.42001
Math. Notes 115, No. 2, 275-278 (2024); translation from Mat. Zametki 115, No. 2, 304-307 (2024).
Reviewer: Włodzimierz Łenski (Poznań)
Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold. (English) Zbl 07817021
On a general approach to some problems of approximation of operators. (English) Zbl 1542.41021
J. Math. Sci., New York 279, No. 1, 67-76 (2024); and Ukr. Mat. Visn. 20, No. 4, 544-556 (2023).
Reviewer: Radu Păltănea (Braşov)
Discrete Chebyshev polynomials for the numerical solution of stochastic fractional two-dimensional Sobolev equation. (English) Zbl 1531.65197
A numerical solution for a quasi solution of the time-fractional stochastic backward parabolic equation. (English) Zbl 1527.65088
Reviewer: Abdallah Bradji (Annaba)
MSC:
65M32
65M30
65M06
65T60
65K10
65J20
65F22
65M12
65M15
60G22
35A15
41A50
35A01
35A02
35R30
26A33
35R11
35R60
The best matching parameters and norm calculation of bounded operators with super-homogeneous kernel. (English) Zbl 07921277
A new reverse half-discrete Hilbert-type inequality with one partial sum involving one derivative function of higher order. (English) Zbl 07919392
MSC:
26D15
A new Hilbert-type integral inequality with the general nonhomogeneous kernel and applications. (English) Zbl 07811275
MSC:
26D15
Shifted second-kind Chebyshev spectral collocation-based technique for time-fractional KdV-Burgers’ equation. (English) Zbl 1538.65411
Exact constants in estimates of approximation of Lipschitz classes of periodic functions by Cesàro means. (English) Zbl 1537.42001
Reviewer: Stefan Neuwirth (Besançon)
Near extensions and alignment of data in \(R^n\). Whitney extensions of near isometries, shortest paths, equidistribution, clustering and non-rigid alignment of data in Euclidean space. (English) Zbl 07787146
Hoboken, NJ: John Wiley & Sons (ISBN 978-1-394-19677-7/hbk; 978-1-394-19681-4/ebook). xx, 164 p. (2023).
MSC:
68-02
42-02
41-02
49-02
60-02
42B35
30H35
30E10
14Q15
53A45
58Z05
68P01
42B37
49J35
49J30
49J10
49J21
46-11
57Z25
68-11
68T09
62G05
41A05
62H30
46T20
26B05
68T45
41A50
15A72
05C38
33D50
58C25
65D18
68U10
94C30
68Q25
11K38
30E05
26E10
68Q17
A new reverse half-discrete Mulholland-type inequality with a nonhomogeneous kernel. (English) Zbl 1532.26036
Relationship between the best \(L_p\) approximations of splines by polynomials with estimates of the values of intermediate derivatives in Sobolev spaces. (English. Russian original) Zbl 1535.41006
Math. Notes 114, No. 4, 625-629 (2023); translation from Mat. Zametki 114, No. 4, 623-627 (2023).
Weighted \(L_p\) Markov factors with doubling weights on the ball. (English) Zbl 1530.41010
Reviewer: Anjali (Delhi)
A new method of solving the best approximate solution for a nonlinear fractional equation. (English) Zbl 1538.65310
On the best polynomials approximation of segment functions. (Russian. English summary) Zbl 1538.65035
Sharp inequalities of Iyengar-Madhava Rao-Nanjundiah type including \(\cos\left(\frac{x}{\sqrt{3}} + ax^r\right)\). (English) Zbl 1538.26043
MSC:
26D05
Spectral treatment for the fractional-order wave equation using shifted Chebyshev orthogonal polynomials. (English) Zbl 1538.65413
Simple bounds with best possible accuracy for ratios of modified Bessel functions. (English) Zbl 1516.33004
Reviewer: Thomas Ernst (Uppsala)
Sharp uncertainty principle inequality for solenoidal fields. (English. French summary) Zbl 1511.26020
Reviewer: Michael Perelmuter (Kyïv)
Weighted Hardy-Sobolev, log-Sobolev and Moser-Onofri-Beckner inequalities with monomial weights. (English) Zbl 1507.26029
Spaces of Besov-Sobolev type and a problem on nonlinear approximation. (English) Zbl 1517.46024
Reviewer: Hans Triebel (Jena)
Extremal polynomials and polynomial preimages. arXiv:2312.12992
Preprint, arXiv:2312.12992 [math.CA] (2023).
On extremal filling of partially ordered sets. arXiv:2307.07716
Preprint, arXiv:2307.07716 [math.FA] (2023).
Whitney extensions and orthonormal expansions. arXiv:2302.08045
Preprint, arXiv:2302.08045 [math.CA] (2023).
A more accurate half-discrete Hilbert-type inequality involving one higher-order derivative function. (English) Zbl 07885466
On the constant in the estimate of deviation of Fejér averages in terms of best approximations. (English) Zbl 1543.41017
Reviewer: Francisco Pérez Acosta (La Laguna)
Numerical solution of fuzzy fractional diffusion equation by Chebyshev spectral method. (English) Zbl 1535.65225
A solution to Stechkin’s problem for functions of a self-adjoint operator in a Hilbert space, Taikov-type inequalities, and their applications. (English) Zbl 07681189
Reviewer: Neha Malik (New Delhi)
Equivalence conditions of the optimal matching parameters for Hilbert-type multiple integral inequality with quasi-homogeneous kernel and applications. (Chinese. English summary) Zbl 1524.26066
The best approximation of closed operators by bounded operators in Hilbert spaces. (English) Zbl 1511.47015
Kolyada inequality between mixed moduli of smoothness in metrics \(L_p\) and \(L_{\infty} \). (English. Russian original) Zbl 1504.42002
Mosc. Univ. Math. Bull. 77, No. 4, 161-175 (2022); translation from Vestn. Mosk. Univ., Ser. I 77, No. 4, 3-15 (2022).
Advanced shifted first-kind Chebyshev collocation approach for solving the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel. (English) Zbl 1513.65398
General form of \((\lambda,\varphi)\)-additive operators on spaces of \(L\)-space-valued functions. (English) Zbl 1510.41015
The best matching parameters conditions of Hilbert-type series inequality with quasi-homogeneous kernel and applications. (Chinese. English summary) Zbl 1513.26049
MSC:
26D15
Hypercontractivity on the unit circle for ultraspherical measures: linear case. (English) Zbl 1537.46029
Some \(L^p\)-Hardy and \(L^p\)-Rellich type inequalities with remainder terms. (English) Zbl 1503.26032
Equivalent conditions of optimal half discrete Hilbert type multiple integral inequalities with quasi homogeneous kernel and applications. (English) Zbl 1498.26048
Optimality of constants in power-weighted Birman-Hardy-Rellich-type inequalities with logarithmic refinements. (English. French summary) Zbl 1485.26024
Sharp inequalities for sine polynomials. (English) Zbl 1499.26053
Reviewer: Petr Gurka (Praha)
Improved Hardy inequalities and weighted Hardy type inequalities with spherical derivatives. (English) Zbl 1486.26030
Reviewer: Sanja Varošanec (Zagreb)
Probabilistic bounds on best rank-one approximation ratio. arXiv:2201.02191
Preprint, arXiv:2201.02191 [math.FA] (2022).
Necessary and sufficient conditions and optimal constant factors for the validity of multiple integral half-discrete Hilbert type inequalities with a class of quasi-homogeneous kernels. (English) Zbl 07905129
A modified Chebyshev \(\vartheta \)-weighted Crank-Nicolson method for analyzing fractional sub-diffusion equations. (English) Zbl 1534.65130
On two kinds of the Hardy-type integral inequalities in the whole plane with the equivalent forms. (English) Zbl 1496.26040
Parasidis, Ioannis. N. (ed.) et al., Mathematical analysis in interdisciplinary research. Cham: Springer. Springer Optim. Appl. 179, 1025-1048 (2021).
Best proximity point results and application to a system of integro-differential equations. (English) Zbl 1502.47069
Ridge functions and applications in neural networks. (English) Zbl 1489.26001
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).
Reviewer: Bilal Bilalov (Baku)
Converse theorem of the approximation theory of functions in Morrey-Smirnov classes related to the derivatives of functions. (English) Zbl 1483.41008
The construction of a new operational matrix of the distributed-order fractional derivative using Chebyshev polynomials and its applications. (English) Zbl 1491.65113
Corrigendum to: “Sharp \(L^p\) Hardy type and uncertainty principle inequalities on the sphere”. (English) Zbl 1479.26015
On two kinds of the reverse half-discrete Mulholland-type inequalities involving higher-order derivative function. (English) Zbl 1504.26044
Some Padé approximations and inequalities for the complete elliptic integrals of the first kind. (English) Zbl 1504.33016
On some inequalities for sine polynomials. (English) Zbl 1492.26014
Reviewer: Raghib Abu-Saris (Edmonton)
The equivalent parameter conditions for constructing multiple integral half-discrete Hilbert-type inequalities with a class of nonhomogeneous kernels and their applications. (English) Zbl 1475.26021
On Hardy-Littlewood-Pólya and Taikov type inequalities for multiple operators in Hilbert spaces. (English) Zbl 1495.47035
Numerical solution of the nonlinear conformable space-time fractional partial differential equations. (English) Zbl 1528.65054
The best matching parameters for semi-discrete Hilbert-type inequality with quasi-homogeneous kernel. (Chinese. English summary) Zbl 1488.26102
MSC:
26D15
Matching parameter conditions for the best Hilbert-type integral inequality with a class of non-homogeneous kernels. (Chinese. English summary) Zbl 1488.26103
MSC:
26D15
Optimal general Hermite-Hadamard-type inequalities in a ball and their applications in multidimensional numerical integration. (English) Zbl 1492.65057
A note on the Rellich inequality on half-space. (English) Zbl 1488.26060
Reviewer: Michael Perelmuter (Kyïv)
A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates. (English) Zbl 1476.26015
A remark on the Steklov-Poincaré inequality. (English. Russian original) Zbl 1482.46042
Math. Notes 110, No. 2, 221-225 (2021); translation from Mat. Zametki 110, No. 2, 234-238 (2021).
The Chebyshev collocation method for a class of time fractional convection-diffusion equation with variable coefficients. (English) Zbl 1496.65185
Best \(L^2\)-extension of algebraic polynomials from the unit Euclidean sphere to a concentric sphere. (English. Russian original) Zbl 1470.41030
Proc. Steklov Inst. Math. 313, Suppl. 1, S6-S13 (2021); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 26, No. 2, 47-55 (2020).
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