Cover Image

On one problem of minimization of area

We consider the problem of asymptotically optimal location of disks with equal radii for the minimization of the are of the figure bounded by a given curve and a connected union of these disks.

Saved in:

Bibliographic Details
Date:	1997
Main Authors:	Ligun, A. A., Shumeiko, A. A., Лигун, А. А., Шумейко, А. А.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1997
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5083
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 a problem of restoration of curves
by: Ligun, A. A., et al.
Published: (1999)

On lower bounds for the approximation of individual functions by local splines with nonfixed nodes
by: Ligun, A. A., et al.
Published: (1999)

Recovery of a Function from Information on Its Values at the Nodes of a Triangular Grid Based on Data Completion
by: Ligun, A. A., et al.
Published: (2002)

Description of Convex Curves
by: Ligun, A. A., et al.
Published: (2000)

On asymptotically optimal weight quadrature formulas on classes of differentiable functions
by: Ligun, A. A., et al.
Published: (2000)

A Linear Method for the Recovery of Functions Based on Binary Data Completion
by: Ligun, A. A., et al.
Published: (2001)

Об одной задаче минимизации площади
by: Лигун, А.А., et al.
Published: (1997)

Восстановление функции по информации о ее значениях в узлах треугольной сетки, основанное на пополнении данных
by: Лигун, А.А., et al.
Published: (2002)

Об оценках снизу приближения индивидуальных функций локальными сплайнами с нефиксированными узлами
by: Лигун, А.А., et al.
Published: (1999)

Об одной задаче восстановления кривых
by: Лигун, А.А., et al.
Published: (1999)

Описание выпуклых кривых
by: Лигун, А.А., et al.
Published: (2000)

Stochastic analysis and one minimization problem
by: Dorogovtsev, A. A., et al.
Published: (1994)

Линейный метод восстановления функций, основанный на бинарном пополнении данных
by: Лигун, А.О., et al.
Published: (2001)

On approximation of functions from below by splines of the best approximation with free nodes
by: Shumeiko, A. A., et al.
Published: (2000)

On lower bounds for the approximation of functions by local splines with nonfixed nodes
by: Shumeiko, A. A., et al.
Published: (2000)

On Jackson-Type Inequalities for Functions Defined on a Sphere
by: Babenko, V. F., et al.
Published: (2005)

On extremal problems on classes of functions defined by integral moduli of continuity
by: Ligun, A. A., et al.
Published: (1997)

On minimization of one integral functional by the Ritz method
by: Minenko, A. S., et al.
Published: (2006)

Алгоритм побудови оптимальних пар фільтрів кодування і відновлення, адаптивних до функції багатьох змінних
by: Лигун, А.О., et al.
Published: (2009)

Problem of amplification of the Jackson-type inequalities
by: Doronin , V. G., et al.
Published: (1992)

О неравенствах типа Джексона для функций, заданных на сфере
by: Бабенко, В.Ф., et al.
Published: (2005)

Some duality relations for local splines
by: Dronov, S. G., et al.
Published: (1995)

Exact constants in Jackson-type inequalities for $L_2$-approximation on an axis
by: Doronin, V. G., et al.
Published: (2009)

Generalization of some extremal properties of splines
by: Babenko, V. F., et al.
Published: (1995)

Bernstein-type inequalities for $\mathcal{L}$-splines
by: Babenko, V. F., et al.
Published: (1993)

Some Bernstein-type inequalities for trigonometric polynomials
by: Babenko, V. F., et al.
Published: (1993)

Exact constants in inequalities of the jackson type for quadrature formulas
by: Doronin, V. G., et al.
Published: (2000)

О приближении снизу функций сплайнами наилучшего приближения со свободными узлами
by: Шумейко, А.А.
Published: (2000)

Об оценках снизу приближения функций локальными сплайнами с нефиксированными узлами
by: Шумейко, А.А.
Published: (2000)

Послідовний аналіз варіантів, як метод оптимізації розвитку транспортних систем
by: Шумейко, О.А.
Published: (2008)

Моделювання перспективного розвитку локомотивного парку залізничного транспорту
by: Шумейко, О.А.
Published: (2009)

Динамічна модель оптимального розподілу інвестицій при заміни обладнання
by: Шумейко, О.А.
Published: (2012)

Exact constant in the Jackson inequality in the space L2
by: Doronin, V. G., et al.
Published: (1994)

On the minimization of the number of arithmetical operation with one transformation of matrices
by: Klyuev, V. V., et al.
Published: (1966)

Описание выпуклых кривых
by: Лигун, А.А., et al.
Published: (2000)

On the results of N. P. Korneichuk obtained in 1990–1999
by: Babenko, V. F., et al.
Published: (2000)

The task of description of contaminated area with minimization of sampling points
by: O. O. Kriazhych, et al.
Published: (2019)

Алгоритм побудови оптимальних пар фільтрів кодування і відновлення, адаптивних до функції багатьох змінних
by: Ligun, A. А., et al.
Published: (2009)

On One Nonlocal Problem with Free Boundary
by: Berezovsky, A. A., et al.
Published: (2001)

Об экстремальных задачах на классах функций, определяемых интегральными модулями непрерывности
by: Лигун, А.А., et al.
Published: (1997)