The Conditions of Existence of the Extremal Element for the Problem of Finding the Distance Between Two Sets, the Unity of an Extremal Element for its Equivalent Problem, the Properties of the Function of the Distance
The theory of approximation of a function is a direction of mathematics which is intensively developing. The work of P. L. Chebyshev in 1857 is considered the beginning of the modern theory of approximations. It is devoted to polynomials that deviate the least from zero. In this work, the concept of...
Saved in:
| Date: | 2020 |
|---|---|
| Main Authors: | Гудима, Уляна, Гнатюк, Василь |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Кам'янець-Подільський національний університет імені Івана Огієнка
2020
|
| Online Access: | http://mcm-math.kpnu.edu.ua/article/view/224866 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Mathematical and computer modelling. Series: Physical and mathematical sciences |
Institution
Mathematical and computer modelling. Series: Physical and mathematical sciencesSimilar Items
The Relation of Duality and the Criterion of the Extremality of an Element for the Problem of Finding the Distance Between Two Convex Sets of Linear Normed Space
by: Гудима, Уляна Василівна, et al.
Published: (2018)
by: Гудима, Уляна Василівна, et al.
Published: (2018)
The Criterions of the Extremality of a Sequence for the Problem of Finding the Distance Between Two Convex Sets of the Linear Normed Space
by: Гудима, Уляна Василівна, et al.
Published: (2019)
by: Гудима, Уляна Василівна, et al.
Published: (2019)
The Existence Conditions of the Extremality of the Admissible Element for the Problem of Finding the Generalized Сhebyshov’s Center of Several Points of Some Polynormated Space Relative to the Set of this Space
by: Гудима, Уляна, et al.
Published: (2024)
by: Гудима, Уляна, et al.
Published: (2024)
The Existence Conditions of the Extremal Element for the Generalized Problem of Steiner in Polynormated Space in which the Deviation Between the Elements is Determined with the Help of Sublinear Functionals
by: Гудима, Уляна, et al.
Published: (2023)
by: Гудима, Уляна, et al.
Published: (2023)
The Conditions of Extremal of an Allowable Element for the Generalized Problem of Steiner in Some Polynormed Space
by: Гудима, Уляна, et al.
Published: (2022)
by: Гудима, Уляна, et al.
Published: (2022)
The Conditions of Extremality of an Admissible Element in the Problem of Finding a Steiner Point of Several Closed Balls of a Certain Polynormed Space with Respect to a Set of this Space Based on the Dual Representation of the Directional Derivative of the Equivalent Best-Approximation Problem
by: Гудима, Уляна
Published: (2025)
by: Гудима, Уляна
Published: (2025)
Numerical Method of Simultaneous Solution the Problem of Finding the Distance (Best) Between a Convex Polyhedron and a Finite-Dimensional Subspace of a Linear Normed Space and Dual Task
by: Гудима, Уляна, et al.
Published: (2021)
by: Гудима, Уляна, et al.
Published: (2021)
On colouring integers avoiding \(t\)-AP distance-sets
by: Ahmed, Tanbir
Published: (2016)
by: Ahmed, Tanbir
Published: (2016)
Chromatic number of graphs with special distance sets, I
by: Yegnanarayanan, V.
Published: (2018)
by: Yegnanarayanan, V.
Published: (2018)
Reconstruction of Distance Matrixes and their Aplication
by: Зеленський, Олексій, et al.
Published: (2021)
by: Зеленський, Олексій, et al.
Published: (2021)
DETERMINING THE DISTANCE TO THE TARGET IN PASSIVE RADAR OF SURFACE OBJECTS
by: Mytsenko, I. M., et al.
Published: (2025)
by: Mytsenko, I. M., et al.
Published: (2025)
Structural properties of extremal asymmetric colorings
by: Verbitsky, Oleg
Published: (2018)
by: Verbitsky, Oleg
Published: (2018)
POWER LOSS FACTOR OF PV MODULES DUE TO MUTUAL SHADING AND OPTIMIZATION OF TILT ANGLES AND DISTANCE BETWEEN ROWS OF MODULES
by: Diomin, D., et al.
Published: (2019)
by: Diomin, D., et al.
Published: (2019)
Detection Efficiency with Observation Aids Having Large Base Distance
by: Danik, Yu. G.
Published: (2013)
by: Danik, Yu. G.
Published: (2013)
On the problem of plotting regional analytical approximations of elements of the elements of anomalous gravity field
by: Yakimchik, A. I.
Published: (2009)
by: Yakimchik, A. I.
Published: (2009)
INFRASOUND WAVE GENERATED BY THE TUNGUSKA CELESTIAL BODY: AMPLITUDE DEPENDENCE ON DISTANCE
by: Chernogor, L. F., et al.
Published: (2018)
by: Chernogor, L. F., et al.
Published: (2018)
Paleostroenie of the northwestern extremity of Antarctica and the evolution of the Bransfield Strait
by: Kozlenko, Yu.V., et al.
Published: (2012)
by: Kozlenko, Yu.V., et al.
Published: (2012)
Existence Theorem for Mass Transfer Problem on Graph
by: Колесников, Валерій
Published: (2023)
by: Колесников, Валерій
Published: (2023)
Investigation of Electrodynamic Characteristics of One-Reflector Antenna with Small Electric Focal Distances
by: Gorobets, N. N., et al.
Published: (2013)
by: Gorobets, N. N., et al.
Published: (2013)
Determination of individual values of four-element equivalent circuits elements parameters at technical diagnostics of insulation by absorption methods
by: Kyrylenko, V. M., et al.
Published: (2023)
by: Kyrylenko, V. M., et al.
Published: (2023)
Estimation of quality of reference patterns for the correlation-extreme navigation systems
by: Yuzefovych, V. V., et al.
Published: (2014)
by: Yuzefovych, V. V., et al.
Published: (2014)
Magnitude probabilities for extreme earthquakes around the globe with Rank-Ordering
by: Domej, Gisela
Published: (2024)
by: Domej, Gisela
Published: (2024)
The Clustering Method Based on the Consequential Running of k-Means with Calculation of the Distances to the Active Centroids
by: Ткаченко, О. М., et al.
Published: (2012)
by: Ткаченко, О. М., et al.
Published: (2012)
Adaptive ability of agricultural plants in extreme conditions of the Northern Trans-Urals
by: Bome, Nina, et al.
Published: (2020)
by: Bome, Nina, et al.
Published: (2020)
SPECTRUM OF THE INTERPLANETARY PLASMA TURBULENCE AT A DISTANCE FROM THE SUN GREATER THAN 1 AU
by: Olyak, M. R., et al.
Published: (2016)
by: Olyak, M. R., et al.
Published: (2016)
ANALYSIS OF CHANGES IN THE DISTANCE OF THE FRESNEL LENS TO THE CONCENTRATION SUR-FACE TO ENSURE THE FUNCTIONING OF THE STIRLING ENGINE
by: Golovko , V. M., et al.
Published: (2024)
by: Golovko , V. M., et al.
Published: (2024)
VARIATIONS OF PLASMA TEMPERATURES IN IONOSPHERE OVER KHARKIV DURING EXTREME SOLAR MINIMUM
by: Siusiuk, M. M., et al.
Published: (2016)
by: Siusiuk, M. M., et al.
Published: (2016)
Extreme Values of the Best Approximations of Linear Combinations оf Harmonic Functions
by: Сорич, Віктор, et al.
Published: (2023)
by: Сорич, Віктор, et al.
Published: (2023)
The use of Elements of Computational Intelligence in Problems of Forecasting of Corroding Constructions Durability
by: Korotka, Larysa Ivanovna, et al.
Published: (2017)
by: Korotka, Larysa Ivanovna, et al.
Published: (2017)
Approximation of real data by fuzzy sets for the classification problem
by: Sukhanov, Kostiantyn
Published: (2019)
by: Sukhanov, Kostiantyn
Published: (2019)
Effect of Extremely Low Frequency Electromagnetic Field on Biological Activity of a Human Brain
by: Litvinenko, L. M., et al.
Published: (2013)
by: Litvinenko, L. M., et al.
Published: (2013)
An analysis of approaches to determining the type of reference image for correlation-extreme aircraft navigation systems
by: Мезенцев, О. В., et al.
Published: (2025)
by: Мезенцев, О. В., et al.
Published: (2025)
Groups of equivalency in the problems of neutron diffusion within heterogeneous medium
by: Tsyfra, I. M.
Published: (2010)
by: Tsyfra, I. M.
Published: (2010)
FINITE ELEMENT TECHNIQUE FOR SOLUTION OF THERMO-CONTACT PROBLEMS AND ITS APPLICATION IN NUMERICAL ANALYSIS OF DEVICES WORKING WITH INDUCTION HEATING
by: Pantelyat, Michael G., et al.
Published: (2016)
by: Pantelyat, Michael G., et al.
Published: (2016)
Mobile environmental monitoring system of the Dniester: modeling of technical system of hydro resources and extreme floods
by: Trysnyuk, Taras V.
Published: (2021)
by: Trysnyuk, Taras V.
Published: (2021)
Operational Probabilistic Safety Analysis of a Nuclear Power Plant Operating under Extreme Conditions
by: Костіков, А. О., et al.
Published: (2026)
by: Костіков, А. О., et al.
Published: (2026)
Operational Probabilistic Safety Analysis of a Nuclear Power Plant Operating under Extreme Conditions
by: Костіков, А. О., et al.
Published: (2026)
by: Костіков, А. О., et al.
Published: (2026)
Elements of the structural models of devices approximation problems for identification and control of parameters of facilities management
by: Жиленков, А. А., et al.
Published: (2013)
by: Жиленков, А. А., et al.
Published: (2013)
Elements of the structural models of devices approximation problems for identification and control of parameters of facilities management
by: Жиленков, А. А., et al.
Published: (2013)
by: Жиленков, А. А., et al.
Published: (2013)
Increasing the efficiency of protecting the radar sensor of the correlation-extreme aircraft guidance system from combined interference
by: Мезенцев, О. В., et al.
Published: (2021)
by: Мезенцев, О. В., et al.
Published: (2021)
Similar Items
-
The Relation of Duality and the Criterion of the Extremality of an Element for the Problem of Finding the Distance Between Two Convex Sets of Linear Normed Space
by: Гудима, Уляна Василівна, et al.
Published: (2018) -
The Criterions of the Extremality of a Sequence for the Problem of Finding the Distance Between Two Convex Sets of the Linear Normed Space
by: Гудима, Уляна Василівна, et al.
Published: (2019) -
The Existence Conditions of the Extremality of the Admissible Element for the Problem of Finding the Generalized Сhebyshov’s Center of Several Points of Some Polynormated Space Relative to the Set of this Space
by: Гудима, Уляна, et al.
Published: (2024) -
The Existence Conditions of the Extremal Element for the Generalized Problem of Steiner in Polynormated Space in which the Deviation Between the Elements is Determined with the Help of Sublinear Functionals
by: Гудима, Уляна, et al.
Published: (2023) -
The Conditions of Extremal of an Allowable Element for the Generalized Problem of Steiner in Some Polynormed Space
by: Гудима, Уляна, et al.
Published: (2022)