A new modification of Gamma operators with a better error estimation. (English) Zbl 1514.41019

Summary: The present paper deals with new modification of Gamma operators preserving polynomials in Bohman-Korovkin sense and study their approximation properties: Voronovskaya type theorems, weighted approximation and rate of convergence are captured. The effectiveness of the newly modified operators according to classical ones are presented in certain senses as well. Numerical examples are also presented, highlighting the performance of the new constructions of Gamma operators in the context of one dimensional approximation.


41A36 Approximation by positive operators
41A25 Rate of convergence, degree of approximation
Full Text: DOI


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