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http://dx.doi.org/10.14317/jami.2019.037

RIESZ TRIPLE ALMOST LACUNARY χ3 SEQUENCE SPACES DEFINED BY A ORLICZ FUNCTION-I  

SUBRAMANIAN, N. (Department of Mathematics, SASTRA Deemed to be University)
Esi, Ayhan (Department of Mathematics,Adiyaman University Adiyaman)
AIYUB, M. (Department of Mathematics,College of Science University of Bahrain)
Publication Information
Journal of applied mathematics & informatics / v.37, no.1_2, 2019 , pp. 37-52 More about this Journal
Abstract
In this paper we introduce a new concept for Riesz almost lacunary ${\chi}^3$ sequence spaces strong P - convergent to zero with respect to an Orlicz function and examine some properties of the resulting sequence spaces. We introduce and study statistical convergence of Riesz almost lacunary ${\chi}^3$ sequence spaces and some inclusion theorems are discussed.
Keywords
analytic sequence; modulus function; double sequences; chi sequence; Riesz space;
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