Results 1 to 10 of about 165,977,978 (255)

Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent

Demonstratio Mathematica, 2017
The relation between derivatives of a polynomial of best approximation and the best approximation of the function is investigated in generalized Lebesgue spaces with variable exponent.
Jafarov Sadulla Z.
doaj   +6 more sources

Equivalence of K-functionals and modulus of smoothness generated by a Dunkl type operator on the interval $(-1, 1)$

Comptes Rendus. Mathématique, 2023
Our aim in this paper is to show that the modulus of smoothness and the $K$-functionals constructed from the Sobolev-type space corresponding to the Dunkl operator are equivalent on the interval $(-1,1)$.
Saadi, Faouaz, Daher, Radouan
doaj   +4 more sources

Direct and inverse theorems of approximation theory for a generalized modulus of smoothness [PDF]

Analysis Mathematica, 1999
An asymmetric operator of generalised translation is introduced in this paper. Using this operator, we define a generalised modulus of smoothness and prove direct and inverse theorems of approximation theory for it.
Potapov, M. K., Berisha, F. M.
exaly   +4 more sources

Estimate of K-functionals and modulus of smoothness constructed by generalized spherical mean operator

Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R Daher
exaly   +3 more sources

Generalized Jacobian Weighted Modulus of Smoothness

Iraqi Journal of Science, 2023
      The topic of modulus of smoothness still gets the interest of many researchers due to its applicable usage in different fields, especially for function approximation. In this paper, we define a new modulus of smoothness of weighted type. The properties of our modulus are studied.
Ahmad AbdulKarim Al-Dhahabi, Hawraa Abbas Almurieb   +1 more
openaire   +1 more source

Application of a New Class of Characteristic Function

Journal of Harbin University of Science and Technology, 2021
In Banach space，considering introducing a new class of real characteristic functions fx + ty ( y) and fx + ty ( y) ，the independent variable is t，and the domain is ［0，+ ∞ ) ，and the corresponding properties of those new characteristic functions are used ...
ZHAO Liang, HAN Zhao-yang
doaj   +1 more source

Properties of Generalized Modulus of Smoothness and Generalized Modulus of Convexity

Journal of Harbin University of Science and Technology, 2020
Based on the definitions of generalized modulus of smoothness, the relation between generalized modulus of smoothness and t in the Banach spaces is studied, which proves three equivalent conditions of uniform normal structure and four equivalent ...
ZHAO Liang, YU Yang
doaj   +1 more source

Modulus of Smoothness and K-Functionals Constructed by Generalized Laguerre-Bessel Operator

Tatra Mountains Mathematical Publications, 2022
Abstract In this paper, we prove the equivalence between a K-functional and a modulus of smoothness generated by Laguerre-Bessel operator on 𝕂
Rakhimi, Larbi, Daher, Radouan
openaire   +1 more source

Characterization of best algebraic approximation by a generalized modulus of smoothness [PDF]

AIP Conference Proceedings, 2019
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
openaire   +1 more source

Generalized Hankel shifts and exact Jackson–Stechkin inequalities in L2

Қарағанды университетінің хабаршысы. Математика сериясы, 2023
In this paper, we have solved several extremal problems of the best mean-square approximation of functions f on the semiaxis with a power-law weight.
T.E. Tileubayev
doaj   +1 more source