Cover Image

Landau-Kolmogorov problem for a class of functions absolutely monotone on a finite interval

We solve the Landau - Kolmogorov problem for the class of functions absolutely monotone on a finite interval. For this class of functions, a new exact additive inequalities of the Kolmogorov type are obtained.

Saved in:

Bibliographic Details
Date:	2011
Main Authors:	Skorokhodov, D. S., Скороходов, Д. С.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2011
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2739
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

On inequalities for the norms of intermediate derivatives of multiply monotone functions defined on a finite segment
by: Skorokhodov, D. S., et al.
Published: (2012)

Kolmogorov problem on a class of multiple monotone functions
by: O. V. Kovalenko
Published: (2013)

On Kolmogorov-type inequalities for functions defined on a semiaxis
by: Babenko, V. F., et al.
Published: (2007)

Kolmogorov&#039;s problem about the existence of absolute monotone and multiply monotone functions with given norms of derivatives
by: V. F. Babenko, et al.
Published: (2015)

Kolmogorov type inequalities for norms of fractional derivatives of functions defined on the positive half-line
by: Kozynenko, O., et al.
Published: (2020)

On the Best Linear Approximation Method for Hölder Classes
by: Skorokhodov, D. S., et al.
Published: (2015)

Pointwise Inequalities of Landau–Kolmogorov Type for Functions Defined on a Finite Segment
by: Babenko, Yu. V., et al.
Published: (2001)

Kolmogorov and linear widths of classes of s-monotone integrable functions
by: Konovalov, V. N., et al.
Published: (2005)

On Optimization of “Interval” and “Pointwise” Quadrature Formulas for Classes of Monotone Functions
by: Borodachov, S.V., et al.
Published: (2001)

Shape-preserving kolmogorov widths of classes of s-monotone integrable functions
by: Konovalov, V. N., et al.
Published: (2004)

On the existence of a generalized asymmetric (α, β)-spline whose average values have equal minima at given points
by: Skorokhodov, D. S., et al.
Published: (2009)

On monoids of monotone partial transformations of a finite chain whose domains and ranges are intervals
by: Ayık, Hayrullah, et al.
Published: (2025)

One inequality of the Landau – Kolmogorov type for periodic functions of two variable
by: Babenko, V. F., et al.
Published: (2019)

A class of singular nowhere monotone functions
by: M. V. Pratsovytyi, et al.
Published: (2020)

One inequality of the Landau–Kolmogorov type for periodic functions of two variable
by: V. F. Babenko
Published: (2019)

On Inequalities of the Landau–Kolmogorov–Hörmander Type on a Segment and Real Straight Line
by: Kofanov, V. A., et al.
Published: (2000)

Some sharp Landau-Kolmogorov–Nagy-type inequalities in Sobolev spaces of multivariate functions
by: Babenko, V., et al.
Published: (2023)

On additive inequalities for intermediate derivatives of functions given on a finite interval
by: Babenko, V. F., et al.
Published: (1997)

Optimization of interval formulas for approximate integration of set-valued functions monotone with respect to inclusion
by: Babenko, V. V., et al.
Published: (2011)

Cauchy problem for a class of degenerate kolmogorov-type parabolic equations with nonpositive genus
by: Ivasyshen, S. D., et al.
Published: (2010)

Approximation of classes of analytic functions by algebraic polynomials and kolmogorov widths
by: Romanyuk, V. S., et al.
Published: (1996)

On inequalities for norms of intermediate derivatives on a finite interval
by: Babenko, V. F., et al.
Published: (1995)

Rational matrix functions associated with the Nevanlinna-Pick problem in the class S [a, b] and orthogonal on a compact interval
by: Dyukarev, Yu. M., et al.
Published: (2007)

О существовании обобщенного несимметричного (α, β)-сплайна, усреднения которого принимают равные минимумы в заданных точках
by: Скороходов, Д.С.
Published: (2009)

Задача Ландау - Колмогорова для класса абсолютно монотонных на конечном отрезке функций
by: Скороходов, Д.С.
Published: (2011)

Measurable Functionals and Finitely Absolutely Continuous Measures on Banach Spaces
by: Dorogovtsev, A. A., et al.
Published: (2000)

The decreasing and monotone injective partial monoid on a finite chain
by: Zubairu, Muhammad Mansur, et al.
Published: (2026)

Kolmogorov type inequalities for norms of fractional derivatives of functions defined on the positive half-line
by: O. Kozynenko, et al.
Published: (2020)

Estimates of the Kolmogorov widths for classes of infinitely differentiable periodic functions
by: Serdyuk, A. S., et al.
Published: (1997)

Exact Values of Kolmogorov Widths for the Classes of Analytic Functions. I
by: Bodenchuk, V. V., et al.
Published: (2015)

Exact Values of Kolmogorov Widths for the Classes of Analytic Functions. II
by: Bodenchuk, V. V., et al.
Published: (2015)

Existence of the classical solution to the multi -dimensional Stefan problem on a finite interval of time
by: Borodin , M. A., et al.
Published: (1992)

On the best approximations and Kolmogorov widths of besov classes of periodic functions of many variables
by: Romanyuk, A. S., et al.
Published: (1995)

The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables
by: Romanyuk, A. S., et al.
Published: (1993)

Exact Values of Kolmogorov Widths for the Classes of Analytic Functions. II
by: V. V. Bodenchuk, et al.
Published: (2015)

Exact Values of Kolmogorov Widths for the Classes of Analytic Functions. I
by: V. V. Bodenchuk, et al.
Published: (2015)

Optimization of adaptive algorithms for the renewal of monotone functions from the class $H^ω$
by: Korneichuk, N. P., et al.
Published: (1993)

Optimal renewal of definite integrals of monotone functions from the class $H^{ω}$
by: Busarova, T. N., et al.
Published: (1997)

Estimates of the Kolmogorov Widths of Classes of Analytic Functions Representable by Cauchy-Type Integrals. I
by: Romanyuk, V. S., et al.
Published: (2001)

Some classes of Fredholm boundary-value problems on interval
by: V. A. Mikhajlets, et al.
Published: (2014)