Results 11 to 20 of about 165,935,923 (285)
ORDER EQUALITIES IN DIFFERENT METRICS FOR MODULI OF SMOOTHNESS OF VARIOUS ORDERS [PDF]
Ural Mathematical Journal, 2018 In this paper, we obtain order equalities for the \(k\)th order \(L_{q}(T)\)-moduli of smoothness \(\omega_{k}(f;\delta)_{q}\) in terms of expressions that contain the \(l\)th order \(L_{p}(T)\)-moduli of smoothness \(\omega_{ l }(f;\delta)_{p}\) on the ...
Niyazi A. Il'yasov
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On Approximations by Trigonometric Polynomials of Classes of Functions Defined by Moduli of Smoothness [PDF]
Abstract and Applied Analysis, 2017 In this paper, we give a characterization of Nikol’skiĭ-Besov type classes of functions, given by integral representations of moduli of smoothness, in terms of series over the moduli of smoothness.
Nimete Sh. Berisha +3 more
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Weighted Moduli of Smoothness and Spline Spaces [PDF]
Journal of Approximation Theory, 1999 A relationship between the moduli of smoothness on \(I=[0, 1]\) with variable step function and approximation by spline spaces with suitable knots is etablished. The class of moduli of smoothness corresponding to step-weight function \(\varphi(x)\sim x^{\beta(0)}(1-x)^{\beta(1)}\) is considered. The direct and converse results are obtained. It is shown
Kamont, Anna
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Best Approximation and Moduli of Smoothness for Doubling Weights [PDF]
Journal of Approximation Theory, 2001 The authors relate the rate of weighted polynomial approximation to some weighted moduli of smoothness for so-called doubling weights. They also consider the problem in a more restrictive sense for generalized Jacobi weights with zeros in the interval of approximation. These zeros constitute a special problem that has not been resolved so far.
Giuseppe Mastroianni, Vilmos Totik
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A note on equivalence of moduli of smoothness on the sphere [PDF]
Journal of Approximation Theory, 2007 This note deals with the following recently introduced moduli of smoothness on the unite sphere \(S^{d-1}\subset {\mathbb R}^d\) defined as follows: \[ \omega^r(f,t)_p=\sup\left(| | \triangle^r_{\rho}f| | _{L_p(S^{d-1})}:\rho\in \text{SO}(d),\rho x\cdot x\geq {\text{cost}\,}t, \forall x\in S^{d-1}\right), \] where \(\text{SO}(d)\) is the group of ...
Ditzian, Z.
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Generalization of Szász–Mirakjan–Kantorovich operators using multiple Appell polynomials
Journal of Inequalities and Applications, 2020 The purpose of the present paper is to introduce and study a sequence of positive linear operators defined on suitable spaces of measurable functions on [ 0 , ∞ ) $[0,\infty )$ and continuous function spaces with polynomial weights.
Chetan Swarup +3 more
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Smoothness of functions versus smoothness of approximation processes
Bulletin of Mathematical Sciences, 2020 We provide a comprehensive study of interrelations between different measures of smoothness of functions on various domains and smoothness properties of approximation processes.
Yu. S. Kolomoitsev, S. Yu. Tikhonov
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On Various Moduli of Smoothness and K-Functionals [PDF]
Ukrainian Mathematical Journal, 2020 33 pages, the paper is in Russian, with the title, abstract and key words in ...
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New theorems in approximation theory
مجلة بغداد للعلوم, 2010 The aim of this paper is to prove some results for equivalence of moduli of smoothnes in approximation theory , we used a"non uniform" modulus of smoothness and the weighted Ditzian –Totik moduli of smoothness in by spline functions ,several ...
Baghdad Science Journal
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Some Upper Bounds for RKHS Approximation by Bessel Functions
Axioms, 2022 A reproducing kernel Hilbert space (RKHS) approximation problem arising from learning theory is investigated. Some K-functionals and moduli of smoothness with respect to RKHSs are defined with Fourier–Bessel series and Fourier–Bessel transforms ...
Mingdang Tian +2 more
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