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Hasan abed, Inas, Mohammadzadeh, Bahram, Naji, Saad. (1405). A new characterization of the 𝟐𝒌 − adic – type cantor – like sets and 𝟐𝒌 − adic – type cantor functions. پژوهشنامه مدیریت اجرایی, 15(2), 332-344. doi: 10.22080/cjms.2026.30654.1781
Inas Hasan abed; Bahram Mohammadzadeh; Saad Naji. "A new characterization of the 𝟐𝒌 − adic – type cantor – like sets and 𝟐𝒌 − adic – type cantor functions". پژوهشنامه مدیریت اجرایی, 15, 2, 1405, 332-344. doi: 10.22080/cjms.2026.30654.1781
Hasan abed, Inas, Mohammadzadeh, Bahram, Naji, Saad. (1405). 'A new characterization of the 𝟐𝒌 − adic – type cantor – like sets and 𝟐𝒌 − adic – type cantor functions', پژوهشنامه مدیریت اجرایی, 15(2), pp. 332-344. doi: 10.22080/cjms.2026.30654.1781
Hasan abed, Inas, Mohammadzadeh, Bahram, Naji, Saad. A new characterization of the 𝟐𝒌 − adic – type cantor – like sets and 𝟐𝒌 − adic – type cantor functions. پژوهشنامه مدیریت اجرایی, 1405; 15(2): 332-344. doi: 10.22080/cjms.2026.30654.1781

A new characterization of the 𝟐𝒌 − adic – type cantor – like sets and 𝟐𝒌 − adic – type cantor functions

Caspian Journal of Mathematical Sciences
دوره 15، شماره 2 - شماره پیاپی 30، اسفند 2026، صفحه 332-344    اصل مقاله (150.83 K)
نوع مقاله: Research Articles
شناسه دیجیتال (DOI): 10.22080/cjms.2026.30654.1781
نویسندگان
Inas Hasan abed1؛ Bahram Mohammadzadeh* 2؛ Saad Naji3
1Department of Mathematic, College of Basic sciences, Babol Noshirvani University of Technology, Mazandaran
2Babol Noshirvani university of Thechnology
33Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq
تاریخ دریافت: 23 آذر 1404،  تاریخ بازنگری: 30 خرداد 1405،  تاریخ پذیرش: 02 تیر 1405 
چکیده
The aim of this article is a another method construction of 8.adic-type Cantor .like sets is studied. We introduce an important type of orthogonal sequence called an orthonormal sequence of 8-adic-type Cantor-like sets type that are useful in many applications likes: physics, engineering, computer science, signal and image processing etc. The characterization and some basic properties for this sequence with their proofs are given. Finally, the 𝒲𝓅-.Fourier series of a given function h in terms of functions .𝒲𝓅,𝓅≥0, is discussed
کلیدواژه‌ها
Cantor sets؛ 8–adic-type Cantor –like sets؛ 8-adic-type Cantor-Lebesgue functions Gray code؛ 𝒲𝓅-Fourier transforms
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