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010 a| 2022007702;

020 a| 9781470447588q| (paperback);

020 z| 9781470466282q| (epub);

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100 1 a| Kolomoitsev, Yurii.?| UNAUTHORIZED;

245 10 a| Hardy-Littlewood and Ulyanov inequalitiesh| [electronic resource] /c| Yurii Kolomoitsev, Sergey Tikhonov.;

260 a| Providence, RI :b| American Mathematical Society,c| [2021];

300 a| viii, 118 pages :b| illustrations ;c| 26 cm.;

490 0 a| Memoirs of the American Mathematical Society,x| 0065-9266 ;v| number 1325;

500 a| "May 2021, volume 271, number 1325 (second of 7 numbers).";

504 a| Includes bibliographical references.;

505 0 a| Auxiliary results -- Polynomial inequalities of Nikolʹskii-Stechkin-Boas-types -- Basic properties of fractional moduli of smoothness -- Hardy-Littlewood-Nikolʹskii inequalities for trigonometric polynomials -- General form of the Ulyanov inequality for moduli of smoothness, K-functionals, and their realizations -- Sharp Ulyanov inequalities for K-functionals and realizations -- Sharp Ulyanov inequalities for moduli of smoothness -- Sharp Ulyanov inequalities for realizations of K-functionals related to Riesz derivatives and corresponding moduli of smoothness -- Sharp Ulyanov inequality via Marchaud inequality -- Sharp Ulyanov and Kolyada inequalities in Hardy spaces -- (Lp, Lq) inequalities of Ulyanov-type involving derivatives -- Embedding theorems for function spaces.;

506 a| Available only to authorized users.;

520 a| "We give the full solution of the following problem: obtain sharp inequalities between the moduli of smoothness f, t)q and (f, t)p for 0 < p < q . A similar problem for the generalized K-functionals and their realizations between the couples (Lp,W p ) and (Lq,W q ) is also solved"--c| Provided by publisher.;

538 a| Mode of access: World Wide Web;

650 0 a| Inequalities (Mathematics)=| ^A22093;

650 0 a| Hardy-Littlewood method.=| ^A387726;

650 0 a| Smoothness of functions.=| ^A182188;

650 7 a| Approximations and expansions -- Approximations and expansions -- Multidimensional problems.2| msc;

650 7 a| Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Multipliers.2| msc;

650 7 a| Real functions -- Inequalities -- Inequalities involving derivatives and differential and integral operators.2| msc;

650 7 a| Functional analysis -- Linear function spaces and their duals -- Sobolev spaces and other spaces of "smooth'' functions, embedding theorems, trace theorems.2| msc;

650 7 a| Real functions -- Functions of one variable -- Fractional derivatives and integrals.2| msc;

650 7 a| Approximations and expansions -- Approximations and expansions -- Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities).2| msc;

650 7 a| Real functions -- Polynomials, rational functions -- Polynomials: analytic properties, etc..2| msc;

650 7 a| Approximations and expansions -- Approximations and expansions -- Approximation by polynomials.2| msc;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Tikhonov, Sergey,d| 1976-?| UNAUTHORIZED;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=6715028;

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Hardy-Littlewood and Ulyanov inequalities / Yurii Kolomoitsev, Sergey Tikhonov.

Author/creator	Kolomoitsev, Yurii
Other author	Tikhonov, Sergey, 1976-
Format	Electronic
Publication Info	Providence, RI : American Mathematical Society, [2021]
Description	viii, 118 pages : illustrations ; 26 cm.
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Inequalities (Mathematics) Hardy-Littlewood method. Smoothness of functions.

Series	Memoirs of the American Mathematical Society, 0065-9266 ; number 1325
Contents	Auxiliary results -- Polynomial inequalities of Nikolʹskii-Stechkin-Boas-types -- Basic properties of fractional moduli of smoothness -- Hardy-Littlewood-Nikolʹskii inequalities for trigonometric polynomials -- General form of the Ulyanov inequality for moduli of smoothness, K-functionals, and their realizations -- Sharp Ulyanov inequalities for K-functionals and realizations -- Sharp Ulyanov inequalities for moduli of smoothness -- Sharp Ulyanov inequalities for realizations of K-functionals related to Riesz derivatives and corresponding moduli of smoothness -- Sharp Ulyanov inequality via Marchaud inequality -- Sharp Ulyanov and Kolyada inequalities in Hardy spaces -- (Lp, Lq) inequalities of Ulyanov-type involving derivatives -- Embedding theorems for function spaces.
Abstract	"We give the full solution of the following problem: obtain sharp inequalities between the moduli of smoothness f, t)q and (f, t)p for 0 < p < q . A similar problem for the generalized K-functionals and their realizations between the couples (Lp,W p ) and (Lq,W q ) is also solved"-- Provided by publisher.
General note	"May 2021, volume 271, number 1325 (second of 7 numbers)."
Bibliography note	Includes bibliographical references.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2022007702
ISBN	9781470447588 (paperback)
ISBN	(epub)

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Hardy-Littlewood and Ulyanov inequalities / Yurii Kolomoitsev, Sergey Tikhonov.

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