Results 11 to 20 of about 94,079 (317)
On the nonsymmetric approximation of continuous functions in the integral metric
Researches in Mathematics, 2020 In the paper, an exact estimate of the best nonsymmetric approximation in the integral metric by the constants of continuous functions that belong to the classes $H^\omega[a,b]$ is proved.
V.F. Babenko, O.V. Polyakov
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New Construction and New Error Bounds for (0, 2, 4) Lacunary Interpolation By Six Degree Spline [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2011 The object of this paper obtains the existence, uniqueness and upper bounds for errors of six degree splines interpolating the lacunary data (0, 2, 4). We also show that the changes of the boundary conditions and the class of spline functions has a main
Karwan Jwamer, Ridha Karem
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Luzin's condition (N) and modulus of continuity [PDF]
Advances in Calculus of Variations, 2014 Abstract In this paper, we establish Luzin's condition (N) for mappings in certain Sobolev–Orlicz spaces with certain moduli of continuity. Further, given a mapping in these Sobolev–Orlicz spaces, we give bounds on the size of the exceptional set where Luzin's condition (N) may fail.
Malý, Jan +2 more
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Approximation on a class of Phillips operators generated by q-analogue
Journal of Inequalities and Applications, 2020 The main purpose of this article is to introduce a new generalization of q-Phillips operators generated by Dunkl exponential function. We establish some approximation results for these operators. We also determine the order of approximation, and the rate
Abdullah Alotaibi
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Journal of Inequalities and Applications, 2022 In this article, we consider a bivariate Chlodowsky type Szász–Durrmeyer operators on weighted spaces. We obtain the rate of approximation in connection with the partial and complete modulus of continuity and also for the elements of the Lipschitz type ...
Reşat Aslan, M. Mursaleen
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Parametric Extension of a Certain Family of Summation-Integral Type Operators
Cumhuriyet Science Journal, 2023 In this paper, we introduce a parametric extension of a certain family of summation-integral type operators on the interval [0,∞). Firstly, we obtain test functions and central moments. Secondly, we investigate weighted approximation properties for these
İsmet Yüksel, Nadire Fulda Odabaşı
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Modulus of continuity of operator functions [PDF]
St. Petersburg Mathematical Journal, 2009 Summary: Let \(A\) and \(B\) be bounded selfadjoint operators on a separable Hilbert space, and let \(f\) be a continuous function defined on an interval \( [a,b]\) containing the spectra of \(A\) and \(B\). If \(\omega _f\) denotes the modulus of continuity of \(f\), then \[ \| f(A)-f(B)\| \leq 4\Big[\log\Big(\frac{b-a}{\| A-B\|}+1\Big)+1\Big]^2 \cdot
Farforovskaya, Yu. B., Nikolskaya, L.
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Optimal bounds on the modulus of continuity of the uncentered Hardy-Littlewood maximal function [PDF]
Journal of Geometric Analysis, 2010 J. M. Aldaz +2 more
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On adaptive estimation of linear functionals [PDF]
, 2005 Adaptive estimation of linear functionals over a collection of parameter spaces is considered. A between-class modulus of continuity, a geometric quantity, is shown to be instrumental in characterizing the degree of adaptability over two parameter spaces
Cai, T. Tony, Low, Mark G.
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Моделирование и анализ информационных систем, 2015 The sharp Jackson–Stechkin inequalities are received, in which a special module of continuity Ωem(f;t) determined by Steklov’s function is used instead the usual modulus of continuity of mth order ωm(f;t).
K. Tukhliev
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