Combinatorial Inequalities and Smoothness of Functions
نویسندگان
چکیده
In most of our work we have been concerned with the one-dimensional case, but here we shall be able to say something about the general case. Roughly speaking, our aim has been to use the finiteness of Iv,P(f) to derive a priori bounds for other important functionals of ƒ, such as its modulus of continuity or other high order norms. The bounds we have obtained involve, of course, M* and p but they depend on ƒ only through the value of I*,pCf).
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