Results 1 to 10 of about 85,893 (168)

Weighted approximation: Korovkin and quantitative type theorems

Modern Mathematical Methods, 2023
In the present paper, we consider Korovkin and quantitative theorems, which have been treated by various authors to date, under weighted approximation.
Ali Aral
doaj  

Approximate Weights

The Annals of Mathematical Statistics, 1948
The greatest fractional increase in variance when a weighted mean is calculated with approximate weights is, quite closely, the square of the largest fractional error in an individual weight. The average increase will be about one-half this amount. The use of weights accurate to two significant figures, or even to the nearest number of the form: 10, 11,
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The Weighted Ambrosio--Tortorelli Approximation Scheme [PDF]

SIAM Journal on Mathematical Analysis, 2017
The Ambrosio-Tortorelli approximation scheme with weighted underlying metric is investigated. It is shown that it Γ-converges to a Mumford-Shah image segmentation functional depending on the weight $ωdx$, where $ω\in SBV(Ω)$, and on its value $ω^-$.
Irene Fonseca, Pan Liu 0004
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Weighted Approximation by Szász–Mirakyan-Type Operators Preserving Two Exponential Functions

Mathematics
In this paper, we study the weighted approximation properties of a family of Szász–Mirakyan-type operators preserving two exponential functions on the unbounded interval [0,∞).
Gülsüm Ulusoy Ada, Ali Aral
doaj   +1 more source

Approximation by weighted means of Walsh-Fourier series

International Journal of Mathematics and Mathematical Sciences, 1996
We study the rate of approximation to functions in Lp and, in particular, in Lip(α,p) by weighted means of their Walsh-Fourier series, where α>0 and 1≤p≤∞.
F. Móricz, B. E. Rhoades
doaj   +1 more source

Approximation by Jakimovski–Leviatan-beta operators in weighted space

Advances in Difference Equations, 2020
The main purpose of this article is to introduce a more generalized version of Jakimovski–Leviatan-beta operators through the Appell polynomials. We present some uniform convergence results of these operators via Korovkin’s theorem and obtain the rate of
M. Nasiruzzaman, M. Mursaleen
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Approximating Polynomials for Functions of Weighted Smirnov-Orlicz Spaces

Journal of Function Spaces and Applications, 2012
Let 𝐺0 and 𝐺∞ be, respectively, bounded and unbounded components of a plane curve Γ satisfying Dini's smoothness condition. In addition to partial sum of Faber series of 𝑓 belonging to weighted Smirnov-Orlicz space 𝐸𝑀,𝜔 (𝐺0), we prove that interpolating ...
Ramazan Akgün
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Unveiling the Potential of Sheffer Polynomials: Exploring Approximation Features with Jakimovski–Leviatan Operators

Mathematics, 2023
In this article, we explore the construction of Jakimovski–Leviatan operators for Durrmeyer-type approximation using Sheffer polynomials. Constructing positive linear operators for Sheffer polynomials enables us to analyze their approximation properties,
Mohra Zayed, Shahid Ahmad Wani, Mohammad Younus Bhat   +2 more
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On approximation in Weighted Orlicz spaces

Mathematica Slovaca, 2011
Abstract An inverse theorem of the trigonometric approximation theory in Weighted Orlicz spaces is proved and the constructive characterization of the generalized Lipschitz classes defined in these spaces is obtained.
Güven, Ali, Israfilov, Daniyal M.
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Approximation in weighted Orlicz spaces

Mathematica Slovaca, 2011
Abstract We prove some direct and converse theorems of trigonometric approximation in weighted Orlicz spaces with weights satisfying so called Muckenhoupt’s A p condition.
Akgün, Ramazan, İsrafilov, Daniyal M.
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