Mustansiriyah Journal of Pure and Applied Sciences

The Relation Between the Degree of Monotone Approximation and the Degree of Unconstrained Approximation

W. A. Ajel

E. S. Bhaya

DOI: https://doi.org/10.47831/mjpas.v1i2.28

Keywords: (Unconstrained  Approximation: Monotone Approximation: Bounded Functions)

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Abstract

Many researchers related to the degree of unconstrained approximation to  constrained approximation,  and proved the inequality: For a continuous  function  on a closed interval we have                                               

where  is a positive constant. The converse  of the relation  is not achieved, so we will obtain the converse  of the relation under some conditions on   which belonging to quasi normed spaces.