Estimates of Functions, Orthogonal to Piecewise Constant Functions, in Terms of the Second Modulus of Continuity
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DOI: 10.1007/s10958-018-4008-5
Abstract: The paper is devoted to the problem of finding the exact constant W2∗$$ {W}_2^{\ast } $$ in the inequality ‖f‖ ≤ K ⋅ ω2(f, 1) for bounded functions f with the property∫kk+1fxdx=0,k∈ℤ.$$ \underset{k}{\overset{k+1}{\int }}f(x) dx=0,\kern0.5em k\in \mathrm{\mathbb{Z}}. $$Our approach allows… read more here.
Keywords: piecewise constant; functions orthogonal; functions terms; orthogonal piecewise ... See more keywords