Approximation Properties of a Modified Gamma Type Operator
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Authors: A. KUMAR
DOI: 10.46793/KgJMat2606.855K
Abstract:
This article presents a new sequence of Gamma-type operators that retains the test function er(t) = tr, r ∈ ℕ. Initially, we derive the moment formulas for these operators. Later, we analyze the approximation properties using the standard and weighted modulus of smoothness and prove an asymptotic Voronovskaja-type theorem. Furthermore, we compare the convergence rate and error estimation of the proposed operators with existing ones that preserve test functions in various ways, using numerical examples.
Keywords:
Gamma operator, rate of convergence, modulus of continuity, Voronovskaja type theorem.
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