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Theory of locally concave functions and its applications to sharp estimates of integral functionals. / Stolyarov, D.M.; Zatitskiy, P.B.

In: Advances in Mathematics, Vol. 291, 2016, p. 228-273.

Research output: Contribution to journal › Article

Harvard

Stolyarov, DM & Zatitskiy, PB 2016, 'Theory of locally concave functions and its applications to sharp estimates of integral functionals', Advances in Mathematics, vol. 291, pp. 228-273. https://doi.org/10.1016/j.aim.2015.11.048

APA

Stolyarov, D. M., & Zatitskiy, P. B. (2016). Theory of locally concave functions and its applications to sharp estimates of integral functionals. Advances in Mathematics, 291, 228-273. https://doi.org/10.1016/j.aim.2015.11.048

Vancouver

Stolyarov DM, Zatitskiy PB. Theory of locally concave functions and its applications to sharp estimates of integral functionals. Advances in Mathematics. 2016;291:228-273. https://doi.org/10.1016/j.aim.2015.11.048

Author

Stolyarov, D.M. ; Zatitskiy, P.B. / Theory of locally concave functions and its applications to sharp estimates of integral functionals. In: Advances in Mathematics. 2016 ; Vol. 291. pp. 228-273.

BibTeX

@article{4ca7e441a9f14b42b860b23c84e62e02,
title = "Theory of locally concave functions and its applications to sharp estimates of integral functionals",
abstract = "{\textcopyright} 2016 Elsevier Inc. We prove a duality theorem the computation of certain Bellman functions is usually based on. As a byproduct, we obtain sharp results about the norms of monotonic rearrangements. The main novelty of our approach is a special class of martingales and an extremal problem on this class, which is dual to the minimization problem for locally concave functions.",
author = "D.M. Stolyarov and P.B. Zatitskiy",
year = "2016",
doi = "10.1016/j.aim.2015.11.048",
language = "English",
volume = "291",
pages = "228--273",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Theory of locally concave functions and its applications to sharp estimates of integral functionals

AU - Stolyarov, D.M.

AU - Zatitskiy, P.B.

PY - 2016

Y1 - 2016

N2 - © 2016 Elsevier Inc. We prove a duality theorem the computation of certain Bellman functions is usually based on. As a byproduct, we obtain sharp results about the norms of monotonic rearrangements. The main novelty of our approach is a special class of martingales and an extremal problem on this class, which is dual to the minimization problem for locally concave functions.

AB - © 2016 Elsevier Inc. We prove a duality theorem the computation of certain Bellman functions is usually based on. As a byproduct, we obtain sharp results about the norms of monotonic rearrangements. The main novelty of our approach is a special class of martingales and an extremal problem on this class, which is dual to the minimization problem for locally concave functions.

U2 - 10.1016/j.aim.2015.11.048

DO - 10.1016/j.aim.2015.11.048

M3 - Article

VL - 291

SP - 228

EP - 273

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

ER -

ID: 7927099