Yang-Fourier transforms of Lipschitz local fractional continuous functions

被引：3

作者：

Bouhlal, A. ^{[1
]}

Ahmad, O. ^{[2
]}

机构：

[1] Univ Chouaib Doukkali, Fac Sci Jurid Econ & Sociales, Lab Rech Gest Econ & Sci Sociales, El Jadida, Morocco

[2] Natl Inst Technol, Dept Math, Srinagar 190006, Jammu & Kashmir, India

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 08期

关键词：

Fractal space; Fourier transforms; Fractional; CALCULUS; GROWTH;

D O I：

10.1007/s12215-023-00869-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we examine the order of magnitude of the Yang-Fourier transforms for local fractional continuous functions on R and satisfiying certain Lipschitz conditions. Furthermore, using the analogue of the operator Steklov, we construct the generalized modulus of smoothness in the fractal space L2,alpha(R) and we use the Yang-Fourier transforms to prove the equivalence between K-functionals and modulus of smoothness.

引用

页码：3891 / 3904

页数：14

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