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

共 50 条

[1] Yang-Fourier transforms of Lipschitz local fractional continuous functions
A. Bouhlal
O. Ahmad
Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 3891 - 3904
[2] Applications of Yang-Fourier transform to local fractional equations with local fractional derivative and local fractional integral
Zhong, Weiping
Gao, Feng
Shen, Xiaoming
ADVANCED BUILDING MATERIALS AND STRUCTURAL ENGINEERING, 2012, 461 : 306 - +
[3] A Novel Approach to Processing Fractal Signals Using the Yang-Fourier Transforms
Yang, Xiao-Jun
Liao, Meng-Ke
Chen, Jiang-Wen
2012 INTERNATIONAL WORKSHOP ON INFORMATION AND ELECTRONICS ENGINEERING, 2012, 29 : 2950 - 2954
[4] On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions
Banu Ünalmış Uzun
Journal of Inequalities and Applications, 2017
[5] On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions
Uzun, Banu Unalmis
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[6] THE YANG-FOURIER TRANSFORMS TO HEAT-CONDUCTION IN A SEMI-INFINITE FRACTAL BAR
Yang, Ai-Min
Zhang, Yu-Zhu
Long, Yue
THERMAL SCIENCE, 2013, 17 (03): : 707 - 713
[7] On Directional Frames Having Lipschitz Continuous Fourier Transforms
Fujinoki K.
Hashimoto H.
Kinoshita T.
International Journal of Applied and Computational Mathematics, 2021, 7 (6)
[8] GENERALIZED LIPSCHITZ CLASS OF FUNCTIONS AND THEIR FOURIER-TRANSFORMS
KINUKAWA, M
TOHOKU MATHEMATICAL JOURNAL, 1983, 35 (04) : 583 - 595
[9] SELF FOURIER FUNCTIONS AND FRACTIONAL FOURIER-TRANSFORMS
MENDLOVIC, D
OZAKTAS, HM
LOHMANN, AW
OPTICS COMMUNICATIONS, 1994, 105 (1-2) : 36 - 38
[10] Heat-conduction in a semi-infinite fractal bar using advanced Yang-Fourier transforms
Ali, Mohd Farman
Katoch, Nisha
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (05) : 5893 - 5899

← 1 2 3 4 5 →