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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

Corresponding Author:[email protected]

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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.
15 Apr 2021Submitted to Mathematical Methods in the Applied Sciences
16 Apr 2021Submission Checks Completed
16 Apr 2021Assigned to Editor
05 May 2021Reviewer(s) Assigned
12 Aug 2021Review(s) Completed, Editorial Evaluation Pending
17 Aug 2021Editorial Decision: Revise Major
24 Aug 20211st Revision Received
24 Aug 2021Assigned to Editor
24 Aug 2021Submission Checks Completed
28 Aug 2021Reviewer(s) Assigned
09 Sep 2021Review(s) Completed, Editorial Evaluation Pending
10 Oct 2021Editorial Decision: Revise Major
22 Oct 20212nd Revision Received
22 Oct 2021Submission Checks Completed
22 Oct 2021Assigned to Editor
22 Oct 2021Reviewer(s) Assigned
28 Oct 2021Review(s) Completed, Editorial Evaluation Pending
12 Nov 2021Editorial Decision: Accept
22 Dec 2021Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.8067