Browsing by Author "Odabasi, Nadire Fulda"

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A New Modification of Baskakov-Schurer Operators: Weighted and Pointwise Approximation Theories
(MDPI, 2026) Odabasi, Nadire Fulda; Farid, Mohammad; Rao, Nadeem; Aslan, Resat
The behavior of a new modification of operators of the Baskakov-Schurer-Stancu variant is discussed in this study. First, we establish certain necessary moment and central moment estimates. We then demonstrate the weighted approximation result of the suggested operators using a Korovkin-type theorem in weighted spaces. We also give the rate at which these operators converge. Next, we establish theorems of pointwise convergence. Finally, we show several graphical representations to illustrate the accuracy and functionality of the operators.
On Approximation Properties of Α-Baskakov Operators: Graphical Investigations
(Springer, 2025) Quan, Jun-Jie; Aslan, Resat; Yuksel, Ismet; Odabasi, Nadire Fulda; Cai, Qing-Bo
This paper deals with some behavior of Baskakov-Schurer-Stancu type operators in approximating functions, grounded on non-negative parameter alpha. Firstly, we establish some needed moment estimations. Next, according to the famous Korovkin theorem we prove weighted approximation result of proposed operators. Also, we provide rate of convergence of these operators and as well as pointwise convergence theorems. Lastly, to demonstrate the efficiency and consistency of the operators, we provide some graphical representations.