Sliding Window Rough measurable function on $I-$ core of triple sequences of Bernstein operator

Deepmala Rai; N. Subramanian

doi:10.22342/jims.25.3.687.183-193

Deepmala Rai ⁽¹⁾ , N. Subramanian ⁽²⁾

(1) Mathematics Discipline, PDPM Indian Institute of Technology, Design & Manufacturing (IIITDM) Jabalpur-482005, (M.P.) India, India,

(2) , India

https://doi.org/10.22342/jims.25.3.687.183-193

Issue
Volume 25 Number 3 (November 2019)

Submitted
September 25, 2017

Accepted
March 26, 2018

Published
October 31, 2019

Keywords:

ideal, triple sequences, rough convergence, closed and convex, cluster points and rough limit points, Bernstein operator.

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Abstract

We introduce sliding window rough $I-$ core and study some basic properties of Bernstein polynomials of rough $I-$ convergent of triple sequence spaces and also study the set of all Bernstein polynomials of sliding window of rough $I-$ limits of a triple sequence spaces and relation between analytic ness and Bernstein polynomials of sliding window of rough $I-$ core of a triple sequence spaces.

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Authors

Deepmala Rai

Mathematics Discipline, PDPM Indian Institute of Technology, Design & Manufacturing (IIITDM) Jabalpur-482005, (M.P.) India

dmrai23@gmail.com (Primary Contact)

N. Subramanian

Rai, D., & Subramanian, N. (2019). Sliding Window Rough measurable function on $I-$ core of triple sequences of Bernstein operator. Journal of the Indonesian Mathematical Society, 25(3), 183–193. https://doi.org/10.22342/jims.25.3.687.183-193