In this paper, some equivalent theorems on simultaneous approximation for combinations of Gamma operators by weighted moduli of smoothness ωφλ^r(f,t)wφ^s(0≤λ≤1)are given. The relation between derivatives ...In this paper, some equivalent theorems on simultaneous approximation for combinations of Gamma operators by weighted moduli of smoothness ωφλ^r(f,t)wφ^s(0≤λ≤1)are given. The relation between derivatives of combinations of Gamma operators and smoothness of derivatives of functions is also investigated.展开更多
文摘In this paper, some equivalent theorems on simultaneous approximation for combinations of Gamma operators by weighted moduli of smoothness ωφλ^r(f,t)wφ^s(0≤λ≤1)are given. The relation between derivatives of combinations of Gamma operators and smoothness of derivatives of functions is also investigated.