The Cesaro Lacunary Ideal Double Sequence Ⲭ2− of φ− Statistical Defined by a Musielak-Orlicz Function

Authors

C. Priya, Department of Mathematics, Sri Angalamman College of Engineering and Technology, Trichirappalli-621 105, IndiaFollow
N. Saivaraju, Department of Mathematics, Sri Angalamman College of Engineering and Technology, Trichirappalli-621 105, IndiaFollow
N. Subramanian, Department of Mathematics, SASTRA University, Thanjavur-613 401, IndiaFollow

Author Country (or Countries)

India

Abstract

In this paper we introduce some definitions which are the natural combination of the definition of asymptotic equivalence, statistical convergence, f−statistical convergence of Musielak Orlicz function and ideal. In addition, we introduce asymptotically ideal equivalent of double sequences and Musielak fuzzy real numbers and established some relations related to this concept. Finally we introduce the notion of Ces´aro Orlicz asymptotically equivalent sequences of Musielak Orlicz function and establish their relationship with other classes.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100438

Recommended Citation

Priya, C.; Saivaraju, N.; and Subramanian, N. (2016) "The Cesaro Lacunary Ideal Double Sequence Ⲭ2− of φ− Statistical Defined by a Musielak-Orlicz Function," Applied Mathematics & Information Sciences: Vol. 10: Iss. 4, Article 38.
DOI: http://dx.doi.org/10.18576/amis/100438
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss4/38