【摘要】 证明了在Lp（R）尺度下,Fourier变换具有紧支集[—σ,σ]的带有限函数类B3_σ,p可以由原函数及带导数序列{f（κπ/δ）}、{f’（κπ/δ）}以及{f"（κπ/δ）},κ∈R完全重构,进一步计算了,当f在L_r^p（R）中时的逼近阶.更多还原

【Abstract】 In this paper we prove that,denote by B_3σ,p the bandlimited class p-integrable functions whose Fourier transform is supported in the interval[-σ,σ],then a function in B_3σ,p can be reconstructed in L_p（R） by its sampling sequences{/（κπ/δ）},{f’（κπ/δ）} and{f"(（κπ/δ）} in L_p（R）,Further,we calculate the order of approximation.更多还原