Work

Applications of equi-statistical convergence and Korovkin-type theorem

Year: 2025

Type: article

Abstract: The paper aims to introduce and investigate equi-statistical convergence, pointwise statistical convergence and uniform statistical convergence for a sequence of real-valued functions via deferred N¨orlund and deferred Euler statistical convergence. Based on the above defined method, we study different results with compelling instances to illustrate the findings. Moreover, we give an illustrative example that proves that our Korovkin-type theorem is stronger version of the classical theorem. Finally, we study rates of deferred N¨orlund and deferred Euler equi-statistical convergence through modulus of continuity.

Source: Acta Universitatis Sapientiae Mathematica

DOI: 10.47745/ausm-2024-0011

Authors: Swati Jasrotia, Uday Pratap Singh, Kuldip Raj

Institutions: Shri Mata Vaishno Devi University, Central University of Jammu

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,390

OpenAlex ID: W4408550837

FWCI:

Cites: 23

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Related to: 10