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A mapping phi : [-1, 1] -> [0, infinity) is a curved majorant for a polynomial p in one real variable if vertical bar p(x)vertical bartexto impreso
Let parallel to . parallel to(infinity) denote the sup norm on [-1,1]. If x is an element of [-1,1] is fixed and M-m,M-n(x) is the best constant in vertical bar p'(x)vertical bartexto impreso
Gámez Merino, José Luis ; Muñoz-Fernández, Gustavo A. ; Sánchez, V.M. ; Seoane-Sepúlveda, Juan B. | American Mathematical Society | 2010-11We find large algebraic structures inside the following sets of pathological functions: (i) perfectly everywhere surjective functions, (ii) differentiable functions with almost nowhere continuous derivatives, (iii) differentiable nowhere monoton[...]
