Results 1 to 10 of about 499 (64)
On a more accurate half-discrete Hilbert-type inequality involving hyperbolic functions
Open Mathematics, 2022 In this work, by the introduction of a new kernel function composed of exponent functions with several parameters, and using the method of weight coefficient, Hermite-Hadamard’s inequality, and some other techniques of real analysis, a more accurate half-
You Minghui, Sun Xia, Fan Xiansheng
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Hyperbolic Tangent Like Relied Banach Space Valued Neural Network Multivariate Approximations
Annals of the West University of Timisoara: Mathematics and Computer Science, 2023 Here we examine the multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or ℝN , N ∈ ℕ, by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature type neural network ...
Anastassiou George A.
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On a new generalization of some Hilbert-type inequalities
Open Mathematics, 2021 In this work, by introducing several parameters, a new kernel function including both the homogeneous and non-homogeneous cases is constructed, and a Hilbert-type inequality related to the newly constructed kernel function is established.
You Minghui, Song Wei, Wang Xiaoyu
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Complete Approximations by Multivariate Generalized Gauss-Weierstrass Singular Integrals
Moroccan Journal of Pure and Applied Analysis, 2021 This research and survey article deals exclusively with the study of the approximation of generalized multivariate Gauss-Weierstrass singular integrals to the identity-unit operator.
Anastassiou George A.
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APPROXIMATING SMOOTH, MULTIVARIATE FUNCTIONS ON IRREGULAR DOMAINS
Forum of Mathematics, Sigma, 2020 In this paper, we introduce a method known as polynomial frame approximation for approximating smooth, multivariate functions defined on irregular domains in $d$ dimensions, where $d$ can be arbitrary. This method is simple, and relies only on orthogonal
BEN ADCOCK, DAAN HUYBRECHS
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On multivariate Ostrowski type inequalities and their applications
, 2020 We prove sharp Ostorowski type inequality for multivariate Sobolev classes and apply it to the problem of optimal recovery of integrals. Mathematics subject classification (2010): 26D10, 41A17, 41A44, 41A55.
V. Babenko, Y. Babenko, O. Kovalenko
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Sharp Bernstein inequalities using convex analysis techniques
, 2020 In this paper we consider the space of polynomials of degree at most three in the real line endowed with the sup norm over the unit interval. We provide, explicitly, all the extreme points of the unit ball of this space.
G. Araújo +3 more
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Polynomial inequalities in L^p norms with generalized Jacobi weights
Mathematical Inequalities & Applications, 2019 We give concrete estimates of Schurand Nikolskii-type inequalities with the best exponent of polynomial degree in Lp norms with generalized Jacobi weights. In particular, we obtain these inequalities with the Chebyshev weight, with the Gegenbauer weights
L. Białas-Cież, G. Sroka
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An interpolation formula in relation to a polynomial inequality of Schur
, 2020 We study a recent interpolation formula for algebraic polynomials due to Dryanov, Fournier and Ruscheweyh and its links to a polynomial inequality of Schur. Mathematics subject classification (2010): 30C10, 41A17, 42A05.
R. Fournier
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On the approximation by trigonometric polynomials in weighted Lorentz spaces
Journal of Function Spaces, Volume 8, Issue 1, Page 67-86, 2010., 2010 We obtain estimates of structural characteristics of 2π‐periodic functions by the best trigonometric approximations in weighted Lorentz spaces, and show that the order of generalized modulus of smoothness depends not only on the rate of the best approximation, but also on the metric of the spaces.
Vakhtang Kokilashvili +2 more
wiley +1 more source