English

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

Functional Analysis 2020-05-19 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2005.07747,
  title  = {Derivation of new Degrees for Best (Co)convex and Unconstrained Polynomial Approximation in $\mathbb{L}^{\alpha, \beta}_p$ space: I},
  author = {Malik Saad Al-Muhja and Habibulla Akhadkulov and Nazihah Ahmad},
  journal= {arXiv preprint arXiv:2005.07747},
  year   = {2020}
}

Comments

21 pages, 3 authors, 4 figures, 1 table, 26 reference. Constrained and unconstrained approximation, Approximation by (co)convex polynomial, Lebesgue Stieltjes integral