On a Property of Moduli of Smoothness and K-Functionals

被引：0

作者：

Agratini, Octavian ^{[1
]}

机构：

[1] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

来源：

FILOMAT | 2015年 / 29卷 / 07期

关键词：

Moduli of smoothness; K-functional; statistical convergence; STATISTICAL CONVERGENCE;

D O I：

10.2298/FIL1507425A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new property of moduli of smoothness associated to functions belonging to some certain spaces is revealed. In terms of statistical convergence, we determine the behavior of these special functions at the point delta = 0. In this respect, Peetre's K-functional is also investigated.

引用

页码：1425 / 1428

页数：4

共 50 条

[21] ON THE CONSTANTS OF EQUIVALENCE BETWEEN SOME FUNCTIONAL MODULI AND K-FUNCTIONALS
DECHEVSKI, LT
DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1989, 42 (02): : 21 - 24
[22] K-FUNCTIONALS AND MODULI OF CONTINUITY IN WEIGHTED POLYNOMIAL-APPROXIMATION
FREUD, G
MHASKAR, HN
ARKIV FOR MATEMATIK, 1983, 21 (01): : 145 - 161
[23] Equivalence of K-Functionals and Modulus of Smoothness Constructed by Generalized Dunkl Translations
Belkina, E. S.
Platonov, S. S.
RUSSIAN MATHEMATICS, 2008, 52 (08) : 1 - 11
[24] MIXED K-FUNCTIONALS - A MEASURE OF SMOOTHNESS FOR BLENDING-TYPE APPROXIMATION
COTTIN, C
MATHEMATISCHE ZEITSCHRIFT, 1990, 204 (01) : 69 - 83
[25] Equivalence of K-functionals and modulus of smoothness constructed by generalized Jacobi transform
El Hamma, Mohamed
Daher, Radouan
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2019, 30 (12) : 1018 - 1024
[26] Equivalence of K-functionals and modulus of smoothness constructed by generalized Dunkl translations
E. S. Belkina
S. S. Platonov
Russian Mathematics, 2008, 52 (8)
[27] Estimate of K-functionals and modulus of smoothness constructed by generalized spherical mean operator
El Hamma M.
Daher R.
Proc Indian Acad Sci Math Sci, 2 (235-242): : 235 - 242
[28] Estimate of K-functionals and modulus of smoothness constructed by generalized spherical mean operator
El Hamma, M.
Daher, R.
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2014, 124 (02): : 235 - 242
[29] On the equivalence of K-functionals and modulus of smoothness constructed by the generalized Fourier–Bessel transform
M. El Hamma
R. Daher
N. Djellab
Ch. Khalil
Afrika Matematika, 2022, 33
[30] ON THE COMPUTATION OF K-FUNCTIONALS
Irodova, I. P.
ST PETERSBURG MATHEMATICAL JOURNAL, 2010, 21 (04) : 579 - 599

← 1 2 3 4 5 →