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On a third-order modulus of smoothness

Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science, 2023
In this paper we define a new third-order modulus of smoothness and we prove the conservation by Stancu operators of the Lipschitz classes defined with this modulus.
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Modulus of Smoothness and Approximation Theorems in Clifford Analysis

Complex Analysis and Operator Theory, 2023
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Discrete Modulus of Smoothness of Splines with Equally Spaced Knots

SIAM Journal on Numerical Analysis, 1995
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Hu, Yingkang, Yu, Xiang Ming
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Adaptive Sampling Recovery of Functions with Bounded Modulus of Smoothness

Acta Mathematica Vietnamica, 2016
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Nguyen Manh Cuong, Mai Xuan Thao
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Optimal stochastic Bernstein polynomials in Ditzian–Totik type modulus of smoothness

Journal of Computational and Applied Mathematics, 2022
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Gao, Qinjiao   +2 more
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Equivalence of K-functionals and modulus of smoothness for Laguerre type operator

Journal of Pseudo-Differential Operators and Applications, 2021
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L. Rakhimi, R. Daher
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Local smoothness of an analytic function compared to the smoothness of its modulus

St. Petersburg Mathematical Journal, 2014
Summary: Let \(\Phi\) be a function analytic in the disk and continuous up to the boundary, and let its modulus of continuity satisfy the Hölder condition of order \(\alpha ...
Vasin, A. V.   +2 more
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Conjugate Functions and the Modulus of Smoothness of Fractional Order

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2018
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A modulus of smoothness on the unit sphere

Journal d'Analyse Mathématique, 1999
For functions on \(S^{d-1}\) (the unit sphere in \(\mathbb{R}^d\)), and, in particular, for \(f \in L_p(S^{d-1 ...
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Sharp estimates of the k -modulus of smoothness of Bessel potentials

Journal of the London Mathematical Society, 2010
Let X(Rn) = X(Rn, ¥in) be a rearrangement-invariant Banach function space over the measure space (Rn, ¥in), where ¥in stands for the n-dimensional Lebesgue measure in Rn. We derive a sharp estimate for the k-modulus of smoothness of the convolution of a function f io X(Rn) with the Bessel potential kernel g¥o, where ¥o io (0, n).
Gogatishvili, A. (Amiran)   +2 more
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