For bounded or some locally bounded functions f measurable on an interval I there is estimated the rate of convergence of the Durrmeyer-type operators Lnf at those points x∈IntI at which the one-sided limits f(x±...For bounded or some locally bounded functions f measurable on an interval I there is estimated the rate of convergence of the Durrmeyer-type operators Lnf at those points x∈IntI at which the one-sided limits f(x± 0) exist. In the main theorems the Chanturiya's modulus of variation is used.展开更多
For measurable functions f of two real variables there are considered the Biikean sums L_m,n∫ of parametric extensions of certain univariate Durrmerer-ivpe operulorsand.The welghted mixed moduli of continuity of_(m,n...For measurable functions f of two real variables there are considered the Biikean sums L_m,n∫ of parametric extensions of certain univariate Durrmerer-ivpe operulorsand.The welghted mixed moduli of continuity of_(m,n)f are estimated and the degrees of appraximation of f by_m,nf in some weighted norms are investigated.展开更多
文摘For bounded or some locally bounded functions f measurable on an interval I there is estimated the rate of convergence of the Durrmeyer-type operators Lnf at those points x∈IntI at which the one-sided limits f(x± 0) exist. In the main theorems the Chanturiya's modulus of variation is used.
文摘For measurable functions f of two real variables there are considered the Biikean sums L_m,n∫ of parametric extensions of certain univariate Durrmerer-ivpe operulorsand.The welghted mixed moduli of continuity of_(m,n)f are estimated and the degrees of appraximation of f by_m,nf in some weighted norms are investigated.
