论文标题
Taylor-Abel Poisson均值在六角形域上的近似值
Approximation on hexagonal domains by Taylor-Abel-Poisson means
论文作者
论文摘要
在积分度量中，考虑了几个变量的函数，在几个变量的函数中考虑了傅里叶序列的泰勒 - 阿贝尔 - 偏见线性求和的近似属性。特别是，泰勒 - 阿贝尔 - 波森均值和径向衍生物生成的$ k $函数证明了直接定理和逆定理。还获得了伯恩斯坦类型的$ l_1 $ - 泊松内核的高阶径向衍生物的不平等现象。
Approximative properties of the Taylor-Abel-Poisson linear summation me\-thod of Fourier series are considered for functions of several variables, periodic with respect to the hexagonal domain, in the integral metric. In particular, direct and inverse theorems are proved in terms of approximations of functions by the Taylor-Abel-Poisson means and $K$-functionals generated by radial derivatives. Bernstein type inequalities for $L_1$-norm of high-order radial derivatives of the Poisson kernel are also obtained.
