Two-Sided Estimates for Some Functionals in Terms of the Best Approximations
Sign Up to like & getrecommendations! 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
Two-sided estimates for the relative growth of functions and their derivatives
Sign Up to like & getrecommendations! Published in 2017 at "Ufa Mathematical Journal"
DOI: 10.13108/2017-9-3-18
Abstract: We provide an extended presentation of a talk given at the International mathematical conference on theory of functions dedicated to centenary of corresponding member of AS USSR A.F. Leont’ev. We propose a new method for… read more here.
Keywords: two sided; relative growth; estimates relative; sided estimates ... See more keywords