ROUGH LACUNARY STATISTICAL ANALYSIS OF ORDER n OF TRIPLE DIFFERENCE SEQUENCE SPACES

被引：0

作者：

Subramanian, Nagarajan ^{[1
]}

Esi, Ayhan ^{[2
]}

机构：

[1] SASTRA Deemed Univ, Sch Arts Sci & Humanities, Dept Math, Thanjavur 613401, India

[2] Malatya Turgut Ozal Univ, Fac Engn, Dept Basic Engn Sci, TR-44040 Malatya, Turkiye

来源：

JOURNAL OF SCIENCE AND ARTS | 2024年 / 01期

关键词：

Density; analytic sequence; Musielak-Orlicz function; triple sequences; statistical convergence; lacunary statistical convergence;

D O I：

10.46939/J.Sci.Arts-24.1-a05

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We generalized the concepts in the probability of rough lacunary statistical analysis of order n by introducing the difference operator A y " of fractional order, where a is a proper fraction and y = ( y mnk ) is any fixed sequence of nonzero real or complex numbers. We study some properties of this operator involving lacunary sequence 8 and arbitrary sequence p = ( p rst ) of strictly positive real numbers and investigate the topological structures of related with triple difference sequence spaces. The main focus of the present paper is to generalize rough lacunary statistical analysis of order n of triple difference sequence spaces and give the relations between statistical analysis and lacunary statistical analysis of order n .

引用

页码：45 / 56

页数：12

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