One-Sided Multiplier Approximation of Unbounded Functions

Raad F. Hassan, Saheb K. Al-Saidy, Naseif J. Al-Jawari
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Abstract

The main objective of this article is to study the degree of best one-sided multiplier approximation of unbounded functions ,( ),[ 1,1]npgLY Y= −by means of the average modulus of smoothness by using sequences of algebraic polynomials Pn of degree less than n, nr+ 1, also in this search we shall prove a direct theorem by sequences Pn and some results.
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无界函数的单侧乘子逼近
本文的主要目的是利用阶数小于n, n≤≤1的代数多项式序列Pn,利用平均光滑模研究无界函数(),[1,1]npgLY Y == -的最佳单侧乘子逼近的阶数,并利用序列Pn和一些结果证明了一个直接定理。
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