Best one-sided algebraic approximation by average modulus
Raheam A. Al-Saphory1,*, Abdullah A. Al-Hayani2 and **Alaa A. Auad3
1, 2 Department f Mathematics; C llege f Education f r Pure Sciences; Tikrit University, Salahaddin; IRAQ.
3Department of Mathematic; College of Education for Pure Sciences University of Anbar; Ramadi; IRAQ.
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Abstract
The aim of this work is to introduced the concept of the best one-sided approximation of unbounded functions in weighted space by using algebraic operators in terms the average modulus of smoothness. We also show an estimate of the degree of best one-sided approximation of unbounded functions in the terms of average modulus of smoothness.
Keywords: weighted space, algebraic polynomial unbounded function, and average modulus of smoothness.
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