On asymptotically generalized statistical equivalent sequences via ideals

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Published: Sep 30, 2012
DOI: https://doi.org/10.5556/j.tkjm.43.2012.919
Keywords:
Asymptotically equivalent sequences statistical convergence statistical convergence and ideal convergence

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Vijay Kumar Kaushik
Department ofMathematics, Haryana College of Technology andManagement, Kaithal-136027, Haryana, India.
Archana Sharma
Haryana College of Technology and Management, Kaithal, Haryana, India

Abstract

For an admissible ideal I⊆P(N) and a non-decreasing realsequence λ=(λn) tending to ∞ with λn+1≤λn+1,λ1=1, the objective of this paper is to introduce the new notions I−statistically equivalent, I−[V,λ]−equivalent and I−λ−statistically equivalent. which are natural combinations of the definitions for asymptotically equivalent, statistical limit, λ−statistical limit and I−limit for number sequences. In addition, some relations among these new notions are also obtained.

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How to Cite
Kaushik, V. K., & Sharma, A. (2012). On asymptotically generalized statistical equivalent sequences via ideals. Tamkang Journal of Mathematics, 43(3), 469–478. https://doi.org/10.5556/j.tkjm.43.2012.919
Issue
Vol. 43 No. 3 (2012)
Section
Papers
Author Biography

Vijay Kumar Kaushik, Department ofMathematics, Haryana College of Technology andManagement, Kaithal-136027, Haryana, India.

Department ofMathematics, Haryana College of Technology andManagement, Kaithal-136027, Haryana, India.

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