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Two-Sided Estimates for Some Functionals in Terms of the Best Approximations

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Published in 2017 at "Journal of Mathematical Sciences"

DOI: 10.1007/s10958-017-3501-6

Abstract: Let C be the space of continuous 2π-periodic functions. For some integrals of the form∫0πωrftΦtdt,$$ \underset{0}{\overset{\pi }{\int }}{\omega}_r\left(f,t\right)\Phi (t) dt, $$ where ωr(f, t) is the modulus of continuity of order r of a function… read more here.

Keywords: best approximations; two sided; estimates functionals; sided estimates ... See more keywords