Approximation properties of Szász–Mirakyan operators preserving exponential functions

On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving Exp(2ax), a>0

“…By taking ( ) = and = = = 0, we obtain the Szász-Mirakyan-Durrmeyer operators [1]. Some recent papers are Szász-Mirakyan type operators which fix exponentials [5], Szász-Mirakyan operators which preserve exponential functions [6], Baskakov-Szász-Stancu operators which preserve exponential functions [7], Baskakov-Szász-Mirakyan-type operators preserving exponential type functions [8] and Szász-Mirakyan-Kantorovich operators which preserve − [9].…”

Gamma operators reproducing exponential functions

“…Further modifications and their approximation results showed the effectiveness of operators preserving some exponential functions in certain senses, hence many researchers have focused on the introduction and investigation of exponential-type operators. Among others, we refer the readers to [4][5][6][7][8][9][10]20] and the references therein.…”

Approximation properties of the Post‐Widder operators preserving e2ax,a>0

“…In 2017, Acar et al examined Szász‐Mirakyan operators, which preserve constant and . Along with this idea, some approximation results on well‐known operators have been discussed, see, eg, Aral et al, Gupta and Acu, Gupta and Tachev, Gupta and Aral, and Gürel Yilmaz et al Accordingly, we construct a new modification of Post‐Widder operators, which reproduce constant and the exponential function for fixed . As the motivation of this modification, we can say that the new constructed operators are more suitable to calculate exponential moments and achieve better approximation when we compare with Post‐Widder operators preserving test function .…”