On Szász–Mirakyan Operators Preserving $$\varvec{e^{2ax}},$$ e 2 a x , $$\varvec{a>0}$$ a > 0

Approximation by Baskakov-Szász-Stancu Operators Preserving Exponential Functions

“…In 2016 Acar et al [1] investigated approximation properties of Szász-Mirakyan operators which preserving constant and e 2ax , a > 0. In that paper the rate of convergence of this generalization was obtained by means of the modulus of continuity.…”

“…In this study, inspired by the main paper [1], we constructed a new family of linear positive operators by using Baskakov-Szász-Stancu operators which is based on preserving exponential functions.…”

Reconstruction of Baskakov operators preserving some exponential functions

“…In recent years, various operators were conveniently modified, which preserve the test functions emerged in this field and a lot of advancements have been made regarding this subject to acquire better approximation. For some recent studies on linear positive operators preserving exponential functions, we refer the readers to the works of Acar et al, 1,2 Yilmaz et al, 3 Gupta and Aral, 4 Bessenyei and Páles, 5 and Murat et al 6 In this paper, we recover a generalization of the classical Baskakov operators. Particularly, we focus on a sequence of operators that regenerate the exponential functions exp( t) and exp(2 t), > 0.…”

Approximation properties of Szász‐Mirakyan‐Kantorovich type operators

“…Many researchers have developed relevant studies on these operators, and numerous articles can be mentioned, interrelated with Kantorovich research: see, eg, Ditzian and Totik 2 and Duman et al 3 In the literature, there are a lot of studies that involve Szàsz operators, Szàsz-Kantorovich operators, and their generalizations. Some of them are Duman et al, 3 Aral et al, 4 Acar et al, 5,6 Boyanov and Veselinov, 7 and Gupta and Aral. 8 We are now concerned only with the known results which are necessary for this study.…”