Fractional monotone approximation theory


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

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