Submitted:
24 January 2022
Posted:
25 January 2022
You are already at the latest version
Abstract
We construct a novel family of summation-integral type hybrid operators in terms of shape parameter $\alpha\in \lbrack 0,1]$ in this paper. Basic estimates, rate of convergence, and order of approximation are also studied using the Korovkin theorem and the modulus of smoothness. We investigate the local approximation findings for these sequences of positive linear operators utilising Peetre's K-functional, Lipschitz class, and second-order modulus of smoothness.
Keywords:
Baskakov operators
; gamma operators
; rate of convergence
; Lipschitz maximal space
; q-density
; q-statistical convergence.
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