عنوان البحث(Papers / Research Title)
A Saturation theorem and negative theorem for monotone
الناشر \ المحرر \ الكاتب (Author / Editor / Publisher)
سكينة عبد الله البيرماني
Citation Information
سكينة,عبد,الله,البيرماني ,A Saturation theorem and negative theorem for monotone , Time 6/9/2011 9:17:38 AM : كلية التربية الاساسية
وصف الابستركت (Abstract)
A Saturation theorem and negative theorem for monotone
الوصف الكامل (Full Abstract)
A Saturation theorem and negative theorem for monotone Approximation
Sukeina Abdulla Al- Bermani Babylon University
Science College For Women
Computer Science Department
Abstract:-
In [3]. we introduce inverse and direct theorems for monotone approximation in , spaces. To complete the idea and characterize the monotone function in the generalized Lipschitz space through their approximation properties we introduce a theorem concerning the saturation of the increasing polynomial for this monotone approximation. One may hope that for a continuous increasing target function it would be possible to obtain estimate involving higher moduli of smoothness of this target function and this give better rate of monotone approximation. In our second result of this chapter we show that it is not possible to obtain direct theorem with higher moduli of smoothness when we assume the target function increasing with three continuous derivatives.
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