For some locally bounded function f measurable on the interval [0,∞) we have estimated the rate of convergence of the modified Szasz-Mirakyan operators Mnf at those points x∈[0,∞) at which one sided limits f(±...For some locally bounded function f measurable on the interval [0,∞) we have estimated the rate of convergence of the modified Szasz-Mirakyan operators Mnf at those points x∈[0,∞) at which one sided limits f(±) exist. We have used the Chanturiya's modulus of variation. Our result improves the estimate of [1], [3], [4], [5], [6] and [9].展开更多
文摘For some locally bounded function f measurable on the interval [0,∞) we have estimated the rate of convergence of the modified Szasz-Mirakyan operators Mnf at those points x∈[0,∞) at which one sided limits f(±) exist. We have used the Chanturiya's modulus of variation. Our result improves the estimate of [1], [3], [4], [5], [6] and [9].
