New moduli of smoothness
Copyright policy )New moduli of smoothness
We discuss various properties of the new modulus of smoothness ?? k,r (f(r), t)p := sup 0<h?t ?Wr kh(?)?k h?(?)(f(r), ?)? Lp[?1,1], where ?(x):= ?1?x2 and W?(x) = (1-x)-??(x)/2)(1+x???(x)/2))1/2. Related moduli with more general weights are also considered.
- Tel Aviv University Israel
- Taras Shevchenko National University of Kyiv Ukraine
- University of Manitoba Canada
Primary 41A17, Secondary 41A10, 42A10, 41A25, 41A27, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Rate of convergence, degree of approximation, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities)
Primary 41A17, Secondary 41A10, 42A10, 41A25, 41A27, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Rate of convergence, degree of approximation, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities)
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