The regularly present paper proposes a new natural weak condition to replace the quasimonotone and Ovarying quasimonotone conditions, and shows the conclusion of the main result in still holds. Moreover, we prove that...The regularly present paper proposes a new natural weak condition to replace the quasimonotone and Ovarying quasimonotone conditions, and shows the conclusion of the main result in still holds. Moreover, we prove that any O-regularly varying quasimonotone condition implies this condition, thus the vague implication of quasimonotonieity can be avoided in practice展开更多
We investigate some conditions in Fourier analysis as a generalization of monotonicity condition. Especially, we give some applications of GBVS and sequences satisfy the condition ΔB1 and ΔB2.
The present paper gives a Jackson type estimate for Nevai operators under weighted L^p norm, and establishes the direct and converse theorems in some proper Besov spaces
基金Supported in paxt by Natural Science Foundation of China under the grant number 10471130.
文摘The regularly present paper proposes a new natural weak condition to replace the quasimonotone and Ovarying quasimonotone conditions, and shows the conclusion of the main result in still holds. Moreover, we prove that any O-regularly varying quasimonotone condition implies this condition, thus the vague implication of quasimonotonieity can be avoided in practice
文摘We investigate some conditions in Fourier analysis as a generalization of monotonicity condition. Especially, we give some applications of GBVS and sequences satisfy the condition ΔB1 and ΔB2.
基金Supported in part by National and Zhejiang Provincial Natural Science Foundations of China under grant numbers 10471130 and 101009 respectively.
文摘The present paper gives a Jackson type estimate for Nevai operators under weighted L^p norm, and establishes the direct and converse theorems in some proper Besov spaces
