Results 261 to 270 of about 173,284,203 (287)

Conjugate Functions and the Modulus of Smoothness of Fractional Order

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2018
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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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On estimating the rate of best trigonometric approximation by a modulus of smoothness

Acta Mathematica Hungarica, 2011
The best trigonometric approximation in \(L_{p},1\leq p\leq \infty \), is characterized by a modulus of smoothness of order \(r\in N\), which is equivalent to zero if the function is a trigonometric polynomial of a given degree. The characterization is similar to the one given by the classical modulus of smoothness.
Draganov, B. R., Parvanov, P. E.
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The Necessity of a New Kind of Modulus of Smoothness

1984
A new type of modulus of smoothness is defined. It very much resembles the ordinary moduli of smoothness, only the increment in it varies togehter with the variable x. This new measurement provides a natural frame-work for the solution of several approximation-theoretical problems.
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Equivalence of K-functional and modulus of smoothness of functions on the sphere

Mathematical Notes, 1992
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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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Smoothness of a Holomorphic Function in a Ball and of its Modulus on the Sphere

Journal of Mathematical Sciences, 2018
Let \(B^n\) be the unit ball in \(\mathbb C^n,\) \(n\geq 2.\) Denote by \(H^\alpha(S^n)\) and \(H^\alpha(\overline{B}^n),\) \(0 < \alpha\leq 1,\) where \(S^n = \partial B^n,\) the spaces of functions \(\varphi\) defined on \(S^n\) and \(B^n,\) respectively, such that \[ |\varphi(z)-\varphi(\zeta)|\leq C_\varphi ||z-\zeta||^\alpha, \quad z,\zeta\in S^n \
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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 Jackson theorems for the generalized modulus of smoothness

1985
The authors prove the following interesting theorem: Let \(\lambda >- 1,1\leq ...
Potapov, M. K., Fedorov, V. M.
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