Approximation of Durrmeyer Type Operators Depending on Certain Parameters

Abstract

Motivated by a number of recent investigations, we consider a new analogue of Bernstein-Durrmeyer operators based on certain variants. We derive some approximation properties of these operators. We also compute local approximation and Voronovskaja type asymptotic formula. We illustrate the convergence of aforementioned operators by making use of the software MATLAB which we stated in the paper.

Convergence Estimates for Gupta-Srivastava Operators

“…Durrmeyer variants of many hybrid operators have been extensively studied in literature since then (cf. [6,9,14,17]). Varied approximation properties of these operators have been studied and investigated (cf.…”

Approximation for difference of Lupaş and some classical operators

“…We also refer some references here, wherein researchers have studied approximation properties of classical linear positive operators (cf. [7], [10], [11], [12], [13], [14], [17], [18], [19], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35]). Throughout the paper, let C 2 [0, ∞) denote the class of all continuous functions on positive real axis and f (x) = O(1 + x 2 ).…”

Approximation by (p,q) Szász-beta–Stancu operators

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