由广义光滑模定义的函数的逼近类
Approximating classes of functions defined by a generalised modulus of smoothness
摘要：
在本文中，我们使用一个广义的移位算子，以定义一个广义光滑模。通过它，我们定义了广义Lipschitz函数类，并给出了它们的构造特征。具体地说，我们证明了逼近论中代数多项式的最佳逼近的某些正、逆定理。
英文摘要：
In the present paper, we use a generalised shift operator in order to define a generalised modulus of smoothness. By its means, we define generalised Lipschitz classes of functions, and we give their constructive characteristics. Specifically, we prove certain direct and inverse types theorems in approximation theory for best approximation by algebraic polynomials.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
