In the present paper approximating functions for certain periodic functions in several variables with bounded mixed derivatives are constructed by making use of their values at the knots of some number-theoretic nets....In the present paper approximating functions for certain periodic functions in several variables with bounded mixed derivatives are constructed by making use of their values at the knots of some number-theoretic nets. The errors are estimated in the L_q-norm where l≤q≤∝.展开更多
基金This work is supported in part by the Alexander von Humboldt Foundationthe National Natural Science Foundation of China
文摘In the present paper approximating functions for certain periodic functions in several variables with bounded mixed derivatives are constructed by making use of their values at the knots of some number-theoretic nets. The errors are estimated in the L_q-norm where l≤q≤∝.
