Results 241 to 250 of about 12,005 (284)

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., Kislyakov, S. V., Medvedev, A. N.   +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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Influence of particle modulus (softness) and matrix rheology on the sensory experience of ‘grittiness’ and ‘smoothness’

Food Hydrocolloids, 2020
The perception of particles that arises during food oral processing, described using sensory terms such as gritty, powdery, chalky and rough, is critical to sensory perception and consumer satisfaction.
H. Shewan, J. Stokes, H. Smyth
semanticscholar   +1 more source

Generalized Modulus of Smoothness and K-functional.

Communications on Applied Nonlinear Analysis
Many articles introduced about direct and inverse theorems interims of ordinary modulus of smoothness andK-functional. Here we shall define a generalized modulus of smoothness andK-functional, then we prove they are equivalent.
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Equivalence of K-functionals and modulus of smoothness constructed by first Hankel–Clifford transform

The Journal of Analysis, 2021
M. El hamma, R. Daher, Chaimaa Khalil
semanticscholar   +1 more source

Modulus of Smoothness and Theorems Concerning Approximation in the Space $$L^{2}_{q,\alpha }(\mathbb {R}_{q})$$ L q

, 2021
R. Daher, O. Tyr
semanticscholar   +1 more source

Some properties of a new kind of modulus of smoothness

Zeitschrift für Analysis und ihre Anwendungen, 1984
The modulus of smoothness \omega (f, \delta)_{\varphi, p} = \mathrm {sup}_{0 < h ≤ \delta} \| \Delta^2_{h, \varphi} \|_{L^p} has arisen during the investigation of positive operators of the Kantorovich type ...
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On the K-Functional for the Mixed Generalized Modulus of Smoothness

Mathematical Notes, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Modulus of Smoothness and Discrete Data in a Square Domain

IMA Journal of Numerical Analysis, 1988
This paper relates to a function f on a two-dimensional square domain that is finite, infinite, or semi-infinite. It is shown that, if the second difference of f with respect to a uniform square lattice of mesh- size \(2^{-n}\) is uniformly of order \(2^{-n\alpha}\), with ...
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On Banaś modulus of smoothness and Gao Pythagorean constant of L(μ)

Journal of Mathematical Analysis and Applications
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Amini-Harandi, Alireza, Peyvaste, Malihe
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