Rate of pointwise convergence of a new kind of gamma operators for functions of bounded variation

In the present paper we investigate the behavior of the operators L n ( f , x ) , defined as L n ( f ; x ) = ( 2 n + 3 ) ! x n + 3 n ! ( n + 2 ) ! ∫ 0 ∞ t n ( x + t ) 2 n + 4 f ( t ) d t , x > 0 , and give an estimate of the rate of pointwise convergence of these operators on a Lebesgue point of bounded variation function f defined on the interval ( 0 , ∞ ) . We use analysis instead of probability methods to obtain the rate of pointwise convergence. This type of study is different from the earlier studies on such a type of operator.