Derivation of new Degrees for Best (Co)convex and Unconstrained Polynomial Approximation in $\mathbb{L}^{α, β}_p$ space: I

preprint2020arXivOpen access

The purpose of this work is to present the derivation and an estimate of the degrees of the best approximation based on convex, coconvex and unconstrained polynomials, and discuss some applications. We simplify the term convex and coconvex polynomial as (co)convex polynomial herein.

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Derivation of new Degrees for Best (Co)convex and Unconstrained Polynomial Approximation in $\mathbb{L}^{α, β}_p$ space: I

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Derivation of new Degrees for Best (Co)convex and Unconstrained Polynomial Approximation in Lpα,β\mathbb{L}^{α, β}_pLpα,β​ space: I

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Derivation of new Degrees for Best (Co)convex and Unconstrained Polynomial Approximation in $\mathbb{L}^{α, β}_p$ space: I