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Applications of statistically probability convergence to approximation theorem
  • Swati Jasrotia,
  • Uday SINGH,
  • Kuldip Raj
Swati Jasrotia
Shri Mata Vaishno Devi University
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Uday SINGH
Shri Mata Vaishno Devi University
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Kuldip Raj
Shri Mata Vaishno Devi University
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Abstract

The purpose of this article is to study and investigate statistically probability convergence for the sequence of random variables by virtue of deferred N\“{o}rlund and deferred Euler summability mean. With the aid of MATLAB software, we also graphically exhibits the statistically probability convergence for probability density function of random variables. Further, as an application of our newly form summability mean, we prove Korovkin type approximation theorem via deferred N\”{o}rlund and deferred Euler statistically probability convergence and present compelling instances to illustrate the findings.

Peer review status:UNDER REVIEW

15 Apr 2021Submitted to Mathematical Methods in the Applied Sciences
16 Apr 2021Assigned to Editor
16 Apr 2021Submission Checks Completed
05 May 2021Reviewer(s) Assigned