Geodesic
Asymptotic estimates of $p$-variational and $L^p$-moduli of continuity of functions of certain classes
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2016), pp. 68-79

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We obtain sharp estimates for upper bound of $p$-variational or $L^p$-modulus of continuity on the classes of functions with given majorants of trigonometric best approximations or moduli of continuity. We also obtain the refined direct and inverse theorems of approximation in $p$-variational metric for conjugate function.
Keywords: functions of bounded $p$-variation, moduli of smoothness, best approximations, conjugate function.
Mots-clés : $L^p$ 
@article{IVM_2016_11_a5,
     author = {A. A. Tyuleneva},
     title = {Asymptotic estimates of $p$-variational and $L^p$-moduli of continuity of functions of certain classes},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {68--79},
     publisher = {mathdoc},
     number = {11},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_11_a5/}
}
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A. A. Tyuleneva. Asymptotic estimates of $p$-variational and $L^p$-moduli of continuity of functions of certain classes. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2016), pp. 68-79. http://geodesic.mathdoc.fr/item/IVM_2016_11_a5/