Results 261 to 270 of about 165,935,923 (285)

Estimates of Mixed Moduli of Smoothness in Metrics of Lq Through Mixed Moduli of Smoothness in Metrics of L1

Moscow University Mathematics Bulletin, 2018
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Potapov, M. K., Simonov, B. V.
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On Hyperbolic Summation and Hyperbolic Moduli of Smoothness

Constructive Approximation, 1996
For the functions of one variable, the relation between smoothness of a function and the order of the best approximation by trigonometric polynomials or spline functions with given knots is well understood. The situation is different in the multidimensional case of tensor products, as we have several possible orders. This paper deals with the method of
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Moduli of Convexity and Smoothness

1986
The “modulus of convexity” of the space E is the function δ E :[0,2] → [0,1] denned by $$ {\delta _E}(\varepsilon ) \equiv \inf \{ 1 - \frac{1}{2}\parallel u + v\parallel ;u,v \in {S_E},\parallel u - v\parallel \geqslant \varepsilon \} $$
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Moduli of Smoothness of Special Type

2000
In this chapter we study from computational point of view some special types of moduli of smoothness, different from those in the Chapters 2 and 3 but they appear in many important cases in approximation theory.
George A. Anastassiou, Sorin G. Gal
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Nonisotropic moduli of smoothness

1984
Let \(\alpha_ 1,\alpha_ 2,...,\alpha_ N\) (N\(\geq 2)\) be positive integers and let \(A_ t\) \((t>0)\) be the non-isotropic dilations of \({\mathbb{R}}^ N\) such that \(A_ t=diag(t^{\alpha_ 1},t^{\alpha_ 2},...,t^{\alpha_ N}).\) Then we can associate to \(A_ t\) a unique value \(t_ x\) such that \(| A^{-1}_{t_ x}| =1\).
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On relations between partial moduli of smoothness in mixed metrics

Periodica Mathematica Hungarica, 2023
B V Simonov
exaly  

Moduli of Smoothness

1987
Z. Ditzian, V. Totik
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The averaged moduli of smoothness

Mathematics and Computers in Simulation, 1989
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Moduli of smoothness andK-functionals inL p, 0

Constructive Approximation, 1995
Z Ditzian
exaly  

Moduli of smoothness and growth properties of Fourier transforms: Two-sided estimates

Journal of Approximation Theory, 2012
Sergey Tikhonov, Dmitry Gorbachev
exaly