(JOURNAL OF MATHEMATICAL ANALYSIS, 2024-08-16) Dalmanoglu, Ozge
The goal of the current paper is to present an integral type FavardSzasz operators including Apostol-Genocchi poynomials. With the help of the moments, we investigate the order of convergence in terms of the first and the second order modulus of continuity and Peetres K- functional. We also examine the convergence in the weighted spaces of functions by means of weighted Korovkin type theorem.
In this paper we introduce Stancu type generalization of Gamma operators based on the concept of q-integers. We first establish local approximation theorems for these operators. Next, we investigate the weighted approximation properties and give an estimate for the rate of convergence using classical modulus of continuity. Lastly, we obtain a Voronovskaya type theorem.
