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Properties of moduli of smoothness in Lp(Rd)
Journal of Approximation Theory ( IF 0.9 ) Pub Date : 2020-04-24 , DOI: 10.1016/j.jat.2020.105423 Yurii Kolomoitsev , Sergey Tikhonov
中文翻译:
光滑模量的性质
更新日期:2020-04-24
Journal of Approximation Theory ( IF 0.9 ) Pub Date : 2020-04-24 , DOI: 10.1016/j.jat.2020.105423 Yurii Kolomoitsev , Sergey Tikhonov
In this paper, we discuss various basic properties of moduli of smoothness of functions from , . In particular, complete versions of Jackson-, Marchaud-, and Ulyanov-type inequalities are given for the whole range of . Moreover, equivalences between moduli of smoothness and the corresponding -functionals and the realization concept are proved.
中文翻译:
光滑模量的性质
在本文中,我们讨论了函数光滑度模量的各种基本性质, , 。特别是,给出了杰克逊型,马尔凯型和乌里扬诺夫型不等式的完整版本。。此外,光滑度的模量与相应的-功能和实现概念得到证明。