Results 1 to 10 of about 43 (43)

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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Approximations by multivariate sublinear and Max-product operators under convexity

Demonstratio Mathematica, 2018
Here we search quantitatively under convexity the approximation of multivariate function by general multivariate positive sublinear operators with applications to multivariate Max-product operators.
Anastassiou George A.
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Univariate right fractional polynomial high order monotone approximation

Demonstratio Mathematica, 2016
Let f ∈ Cr([−1,1]), r ≥ 0 and let L* be a linear right fractional differential operator such that L*(f) ≥ 0 throughout [−1,0]. We can find a sequence of polynomials Qn of degree ≤ n such that L*(Qn) ≥ 0 over [−1,0], furthermore f is approximated right ...
Anastassiou George A.
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Transformation of the second order modulus by positive linear operators

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
We obtain estimates for the transformation of the second order modulus of continuity by positive linear operators which satisfy certain conditions, which are common to a large class of approximation operators.
Pǎltǎnea Radu, Stan Gabriel
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Multivariate and abstract approximation theory for Banach space valued functions

Demonstratio Mathematica, 2017
Here we study quantitatively the high degree of approximation of sequences of linear operators acting on Banach space valued Fréchet differentiable functions to the unit operator, as well as other basic approximations including those under convexity ...
Anastassiou George A.
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Construction of a class of half-discrete Hilbert-type inequalities in the whole plane

Open Mathematics
In this work, we first define two special sets of real numbers, and then, we construct a half-discrete kernel function where the variables are defined in the whole plane, and the parameters in the kernel function are limited to the newly constructed ...
You Minghui
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