Results 231 to 240 of about 12,005 (284)

The Modulus of Smoothness in Metric Spaces and Related Problems

Potential Analysis, 2010
The paper studies generalized Besov and Sobolev spaces of functions on a metric measure space. The definition involves a rather general modulus of smoothness with two Banach lattices \(E\) and \(F\), and an auxiliary nondecreasing function. Let \(f^*\) stand for the decreasing rearrangement of \(f\) on \((0,\mu(X))\), and \(f^{**}\) for its maximal ...
M. Mastyło
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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 ...
Z. Ditzian
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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), Neves, J. S., Opic, B. (Bohumír)   +2 more
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Equivalence of K-Functionals and Modulus of Smoothness Generated by The $ q $-Rubin Operator

Sarajevo Journal of Mathematics, 2022
In this paper, the equivalence between K-functionals and modulus of smoothness tied to a $ q $-Rubin operator was studied.
S. Rebhi
semanticscholar   +1 more source

Modulus of Smoothness and Approximation Theorems in Clifford Analysis

Complex Analysis and Operator Theory, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Equivalence of K-functionals and modulus of smoothness constructed by generalized Jacobi transform

Integral transforms and special functions, 2019
In this paper, we study the generalized Jacobi translation constructed by the Jacobi operator. Using the generalized Jacobi translation, we define generalized modulus of smoothness in the space .
M. El hamma, R. Daher
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Adaptive Sampling Recovery of Functions with Bounded Modulus of Smoothness

Acta Mathematica Vietnamica, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen Manh Cuong, Mai Xuan Thao
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Inverse approximation theorem using Bernstein’s Durrmeyer operator in terms of 2nd modulus of smoothness

Journal of Interdisciplinary Mathematics
Many inverse theorems have been proven using the ordinary modulus of smoothness but no one proved the invers theorems for approximation by Bernstein’s Durrmeyer operator in terms 2nd modulus of smoothness.
Amenah Hassan Ibrahim
semanticscholar   +1 more source

Equivalence of K-functionals and modulus of smoothness generated by the q-Dunkl operator

International Journal of Mathematical Analysis, 2019
On this paper, we study the equivalence between K-functionals and modulus of smoothness tied to a q-Dunkl operator.
S. Rebhi
semanticscholar   +1 more source

Optimal stochastic Bernstein polynomials in Ditzian–Totik type modulus of smoothness

Journal of Computational and Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gao, Qinjiao, Sun, Xingping, Zhang, Shenggang   +2 more
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