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 Ln(f,x)Ln(f,x), defined as Ln(f;x)=(2n+3)!xn+3n!(n+2)!∫0∞tn(x+t)2n+4f(t)dt,x>0, and give an estimate of the rate of pointwise convergence of these operators on a Lebesgue point of bounded variation function ff defined on the interval (0,∞)(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.