On Some Positive Linear Operators Preserving the B^{-1}-Convexity of Functions

Authors : Mustafa Uzun, Tuncay Tunç

Pages : 134-142

Doi:10.54974/fcmathsci.1393349

View : 115 | Download : 53

Publication Date : 2024-07-31

Article Type : Research Paper

Abstract :In the study, we first give an inequality that non-negative differentiable functions must satisfy to be B^{-1}-convex. Then, using the inequality, we show that the B^{-1}-convexity property of functions is preserved by Bernstein-Stancu operators, Sz\'asz-Mirakjan operators and Baskakov operators. In addition, we compare the concepts B^{-1}-convexity and B-concavity of functions.
Keywords : B 1 convexity, Bernstein Stancu operators, Sz´asz Mirakjan operators, Baskakov operators, Shape preserving approximation