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Jain-Baskakov Operators and its Different Generalization
Prashantkumar Patel
,
Vishnu Narayan Mishra
Abstract
The aim of this work is to introduce a new sequence of positive linear operators, which is an integral version of Jain operators. We studied some direct results in ordinary approximation. Weighted approximation, rate of convergence, and $A$-statistical convergence are investigated. Also, we discussed approximation properties of King-type and Stancu-type generalization of these new sequences of linear positive operators and investigated a modification of Jain-Baskakov operators with parameter $c$. At the end, we propose a $q$-analogue of Jain operators based on a $q$-integer.