#### Title

Fractional monotone approximation theory

#### Abstract

Let/∈ Cp ([-1,1]), p ≥ 0 and let L be a linear left fractional differential operator such that L(f) ≥ 0 throughout [0,1]. We can find a sequence of polynomials Qn of degree ≤ n such that L (Qn) ≥ 0 over [0,1], furthermore f is approximated uniformly by Qn. The degree of this restricted approximations is given by an inequalities using the modulus of continuity of f(p).

#### Publication Title

Indian Journal of Mathematics

#### Recommended Citation

Anastassiou, G.
(2015). Fractional monotone approximation theory.* Indian Journal of Mathematics**, 57* (1), 141-149.
Retrieved from https://digitalcommons.memphis.edu/facpubs/4710