L^p APPROXIMATION BY GENERAL BERNSTEIN-DURRMEYER OPERATORDEFINED ON SIMPLEX

• 作 者: CaoFeilong
• 机 构: ShaoxingCollegeofArtsandSciences
• 出 处: 分析理论与应用：英文刊
• 发表日期: 2004年1期
• 关键词: 多项式 算子 函数 近似值 伯恩斯坦 general Bernstein-Durrmeyer operators direct theorem invers
• 基金项目: Foundation of Key Item of Science and Technology of Education Ministry of China，Foundation of Higher School of Ningxia，国家自然科学基金

As a generalization of the Bernstein-Durrmeyer operators defined on the simplex, a class of general Bernstein- Durrmeyer operators is introduced. With the weighted moduli of smoothness as a metric, we prove a strong direct theorem and an inverse theorem o