Supported by the Tian Yuan Special Funds of the National Natural Science Foundation of China(Grant No.11426082);the National Natural Science Foundation of China(Grant No.10771049);the Science Foundation of Hebei Province(Grant No.A2015402034)
We investigate some fundamental properties of the higher order Teodorescu operators which are defined by the high order Cauchy-Pompeiu formulas in superspace. Moreover,we get an expansion of Almansi type for k-supermo...
In this paper, with the help of modulus of smoothness ω2r(f,t), we discuss the pointwise approximation properties for the iterated Boolean sums of Bernstein operator B n and obtain direct and inverse theorems when ...