Generalized Positive Linear Operators based on PED and IPED
Naokant Deo, Minakshi Dhamija
TL;DR
This paper introduces generalized positive linear operators based on PED and IPED distributions, providing moments, convergence, and approximation results to enhance understanding of their mathematical properties.
Contribution
It presents new generalized operators based on PED and IPED, with detailed moments and convergence analysis, advancing approximation theory.
Findings
Derived moments using Stirling numbers of the second kind.
Established convergence and approximation properties.
Provided local and weighted approximation results.
Abstract
The paper deals with generalized positive linear operators based on P\'olya-Eggenberger distribution(PED) as well as inverse P\'olya-Eggenberger distribution(IPED). Initially, we give the moments by using Stirling numbers of second kind and then establish direct results, convergence with the help of local and weighted approximation of proposed operators.
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