Results 21 to 30 of about 76 (75)
Uniform approximation by incomplete polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 4, Page 407-420, 1978., 1978 For any θ with 0 < θ < 1, it is known that, for the set of all incomplete polynomials of type θ, i.e, , to have the Weierstrass property on [aθ, 1], it is necessary that In this paper, we show that the above inequalities are essentially sufficient as well.
E. B. Saff, R. S. Varga
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Quantitative estimates for perturbed sampling Kantorovich operators in Orlicz spaces
Demonstratio MathematicaIn the present work, we establish a quantitative estimate for the perturbed sampling Kantorovich operators in Orlicz spaces, in terms of the modulus of smoothness, defined by means of its modular functional.
Costarelli Danilo +2 more
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Integral Modification of Lupaş‐Type Operators for Improved Approximation and Reduced Bias
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we introduce a generalized class of Lupaş‐type operators constructed through an integral modification of the classical formulation. Instead of using discrete point evaluations, the proposed operators are defined by means of weighted local integral averages together with a parameter‐dependent structure.
Nadiyah Hussain Alharthi +3 more
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Bivariate Maximum Product–Type Favard–Szasz–Mirakyan and Meyer–König–Zeller Operators
Journal of Mathematics, Volume 2026, Issue 1, 2026.In the present paper, we set up the structure of the bivariate maximum product (max‐product)–type of Meyer–König and Zeller operators and Favard–Szasz–Mirakyan operators corresponding to the linear univariate counterparts. Then, we provide an error estimation for these bivariate max‐product type operators in terms of the modulus of continuity.
Sevilay Kırcı Serenbay +2 more
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Efficient α-Dense Curve Strategies for Multiple Integrals over Hyper-rectangle Regions
Annals of the West University of Timisoara: Mathematics and Computer ScienceIn this paper, we propose an approximation technique to compute multiple integrals of a non-negative real continuous function over a hyper-rectangle Ω of ℝn.
Rahal Mohamed, Guettal Djaouida
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Joint discrete universality for periodic zeta-functions. II
, 2021 In the paper, for certain classes of operators F in the space of analytic functions, we prove the discrete universality for compositions F (ζ(s, α ; , )), where ζ(s, α ; ;
Laurinčikas, Antanas
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Unique compact representation of magnetic fields using truncated solid harmonic expansions
European Journal of Applied MathematicsPrecise knowledge of magnetic fields is crucial in many medical imaging applications such as magnetic resonance imaging (MRI) or magnetic particle imaging (MPI), as they form the foundation of these imaging systems. Mathematical methods are essential for
Marija Boberg +2 more
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European Journal of Applied MathematicsThe unprecedented success of deep learning (DL) makes it unchallenged when it comes to classification problems. However, it is well established that the current DL methodology produces universally unstable neural networks (NNs).
Alexander Bastounis +2 more
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Approximate Approximations for the Poisson and the Stokes Equations [PDF]
, 2008 The method of approximate approximations is based on generating functions representing an approximate partition of the unity, only. In the present paper this method is used for the numerical solution of the Poisson equation and the Stokes system in R n ...
Tatiana S Samrowski, Werner Varnhorn
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APPROXIMATION ON THE SPHERE USING RADIAL BASIS FUNCTIONS PLUS POLYNOMIALS
, 2008 . In this paper we analyse a hybrid approximation of functions on the sphere S 2 ⊂ R 3 by radial basis functions combined with polynomials, with the radial basis functions assumed to be generated by a (strictly) positive definite kernel.
Alvise Sommariva +3 more
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