Generalized modulus of smoothness

2021
The paper presents Jackson inequality and the corresponding inverse inequality for the best algebraic approximation in terms of the generalized moduli of smoothness. Moreover the equivalence between the generalized modulus and the Butzer-Stens modulus is shown.
Teodora Zapryanova, Diko Souroujon
exaly +2 more sources

Equivalence of K-functionals and modulus of smoothness generated by a generalized Jacobi–Dunkl transform on the real line

Rendiconti Del Circolo Matematico Di Palermo, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Othman Tyr, Radouan Daher
exaly +2 more sources

Polynomial approximation of functions with given order of thekth generalized modulus of smoothness

Mathematical Notes, 1998
Let \(1\leq p\leq\infty\) and \(\alpha, \beta\geq-1/2\). The authors consider the approximation by algebraic polynomials of functions \(f\) such that \(f(1-\cdot)^\alpha(1+\cdot)^\beta\in L_p\) with respect to the norm \(\| f\| _{p,\alpha,\beta}:=\| f(1-\cdot)^\alpha(1+\cdot)^\beta\| _p\). Given \(\rho>0\), with the notation \(E_n(f)_{p,\alpha,\beta} :=
M K Potapov
exaly +3 more sources

On the K-Functional for the Mixed Generalized Modulus of Smoothness

Mathematical Notes, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly +2 more sources

modulus of smoothness
mathematics
rate of convergence, degree of approximation

\ k\ -functional
16. peace & justice
generalized translation operator

modulus of continuity
embeddings
rearrangement-invariant banach function spaces