一类混合指数型积分算子的整体饱和定理  

A Global Saturation Theorem for the Mixed Exponential Type Integral Operators

作　　者：田军[1] 彭建华[2] 

机构地区：[1]西南交通大学经济管理学院,四川成都610031 [2]郑州航空工业管理学院,河南郑州450005

出　　处：《西南交通大学学报》2000年第4期430-433,共4页Journal of Southwest Jiaotong University

基　　金：河南省自然科学基金资助项目!(984052600)

摘　　要：引入了一类广义指数型积分算子 ,称其为混合指数型积分算子。研究了该类混合指数型积分算子的性质 ,利用改进的Bajsanski Bojanic抛物线技巧及积分算子的有关性质 ,建立了一类混合指数型积分算子的整体饱和定理。这样 ,包含Baskakov型在内的相关积分算子的饱和结果便可以很容易得到 ,为研究混合指数型积分算子的逼近转化定理奠定了基础 。A general exponential type integral operator, called mixed exponential type integral operator, is introduced, and the properties of this type of integral operator are studied. Based on the improved BajsanskiBojanic parabolic method and the related properties of integral operators, a global saturation theorem for the mixed exponential type integral operator L n is established. So, the saturation results of some operators including Baskakov operator can be obtained easily, hence laying a basis for studying the approximation transformation theorem of the mixed exponential type integral operators, and presenting a new method for studying the saturation problems.

关 键 词：积分算子 二次插值法 混合指数 饱和定理 

分 类 号：O174[理学—数学]