-Baskakov-Durrmeyer type Operators and their Approximation Properties

Abstract

the present research article, we construct a new family of summation-integral type
hybrid operators in terms of shape parameter 2 [0; 1]. Further, basic estimates, rate of convergence
and the order of approximation with the aid of Korovkin theorem and modulus of
smoothness are investigated. Moreover, numer4ical simulation and graphical approximations
are studied. For these sequences of positive linear operators, we study the local approximation
results using Peetre's K-functional, Lipschitz class and modulus of smoothness of second
order. Next, we obtain the approximation results in weighted space. Lastly, A-statisticalapproximation
results are presented.