Recurrence formula and better approximation for q-Durrmeyer operators

Approximation properties of (p,q)-Meyer-Konig-Zeller Durrmeyer operators

“…In the past two decades, Studies of Durrmeyer variants of various operators remained the centre of attraction for the researchers, for which one may refer to [2,5,7,15,17]. Motivated by these studies, now we introduce the Meyer-König-Zeller Durrmeyer operators based on (p, q)−integers in the following section.…”

αβ-statistical convergence of modified q-Durrmeyer operators

“…The Durrmeyer type modification of q-Bernstein operators were established by Gupta [14] and it's local approximation, global approximation and simultaneous approximation properties were discussed in [15], we refer some of the important papers in this direction as [8,[16][17][18][19][20][21][22][23]. Also, better approximation properties were established by Gupta and Sharma [24]. Stancu type generalization of the q-Durrmeyer operators were discussed by Mishra and Patel [1,25], which define for f ∈ C ([0, 1]) as…”

q-Durrmeyer operators based on Pólya distribution

“…Some other results and forms of qDurrmeyer type operators were discussed in [2,5,7,10,11] and [8] etc. We now introduce the q-analogue of Lupaş Durrmeyer operators for f ∈ C[0, 1] and 0 < q < 1 by…”