Class information for:
Level 1: MINIMAL PROJECTION//PROJECTION CONSTANTS//COMONOTONE APPROXIMATION

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
23990 327 14.5 27%



Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
609 3       FIXED POINT//HYERS ULAM STABILITY//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES 14179
2288 2             MODULUS OF CONTINUITY//JOURNAL OF APPROXIMATION THEORY//MODULUS OF SMOOTHNESS 4575
23990 1                   MINIMAL PROJECTION//PROJECTION CONSTANTS//COMONOTONE APPROXIMATION 327

Terms with highest relevance score



rank Term termType Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 MINIMAL PROJECTION authKW 2361513 9% 82% 31
2 PROJECTION CONSTANTS authKW 480237 2% 86% 6
3 COMONOTONE APPROXIMATION authKW 466899 2% 100% 5
4 JACKSON TYPE ESTIMATES authKW 398413 2% 53% 8
5 JOURNAL OF APPROXIMATION THEORY journal 394331 37% 4% 120
6 INT MATH address 389081 2% 83% 5
7 WEIGHTED MODULI OF SMOOTHNESS authKW 389081 2% 83% 5
8 COCONVEX POLYNOMIAL APPROXIMATION authKW 373519 1% 100% 4
9 UNIQUENESS OF MINIMAL PROJECTION authKW 373519 1% 100% 4
10 SHAPE PRESERVING APPROXIMATION authKW 343797 3% 41% 9

Web of Science journal categories



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 Mathematics 12765 84% 0% 275
2 Mathematics, Applied 1235 25% 0% 82
3 Computer Science, Theory & Methods 3 2% 0% 5
4 Multidisciplinary Sciences 0 0% 0% 1
5 Statistics & Probability 0 1% 0% 2
6 Computer Science, Artificial Intelligence -1 0% 0% 1
7 Mechanics -2 0% 0% 1
8 Engineering, Electrical & Electronic -8 0% 0% 1

Address terms



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 INT MATH 389081 2% 83% 5
2 RAYMOND BEVERLY SACKLER MATH 168081 1% 60% 3
3 IMI MATH 93380 0% 100% 1
4 RAYMOND BEVERLY SACKLER MATH SCI 36529 2% 7% 6
5 CS EXACTAS FCO QCAS NAT 18674 0% 20% 1
6 SACKLER EXACT SCI 14251 4% 1% 12
7 MECH MATH 6609 5% 0% 15
8 KALUGA BRANCH 5409 1% 3% 2
9 XIASHA ECON DEV AREA 3333 0% 4% 1
10 MATH 2093 30% 0% 99

Journals



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 JOURNAL OF APPROXIMATION THEORY 394331 37% 4% 120
2 CONSTRUCTIVE APPROXIMATION 27116 5% 2% 17
3 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 7175 4% 1% 12
4 ACTA MATHEMATICA HUNGARICA 3810 3% 0% 11
5 MATHEMATICAL NOTES 3151 4% 0% 13
6 UKRAINIAN MATHEMATICAL JOURNAL 2384 2% 1% 5
7 STUDIA MATHEMATICA 2031 2% 0% 8
8 JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS 1560 2% 0% 5
9 CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 1008 2% 0% 5
10 BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 1003 2% 0% 6

Author Key Words



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
LCSH search Wikipedia search
1 MINIMAL PROJECTION 2361513 9% 82% 31 Search MINIMAL+PROJECTION Search MINIMAL+PROJECTION
2 PROJECTION CONSTANTS 480237 2% 86% 6 Search PROJECTION+CONSTANTS Search PROJECTION+CONSTANTS
3 COMONOTONE APPROXIMATION 466899 2% 100% 5 Search COMONOTONE+APPROXIMATION Search COMONOTONE+APPROXIMATION
4 JACKSON TYPE ESTIMATES 398413 2% 53% 8 Search JACKSON+TYPE+ESTIMATES Search JACKSON+TYPE+ESTIMATES
5 WEIGHTED MODULI OF SMOOTHNESS 389081 2% 83% 5 Search WEIGHTED+MODULI+OF+SMOOTHNESS Search WEIGHTED+MODULI+OF+SMOOTHNESS
6 COCONVEX POLYNOMIAL APPROXIMATION 373519 1% 100% 4 Search COCONVEX+POLYNOMIAL+APPROXIMATION Search COCONVEX+POLYNOMIAL+APPROXIMATION
7 UNIQUENESS OF MINIMAL PROJECTION 373519 1% 100% 4 Search UNIQUENESS+OF+MINIMAL+PROJECTION Search UNIQUENESS+OF+MINIMAL+PROJECTION
8 SHAPE PRESERVING APPROXIMATION 343797 3% 41% 9 Search SHAPE+PRESERVING+APPROXIMATION Search SHAPE+PRESERVING+APPROXIMATION
9 DEGREE OF APPROXIMATION 325113 7% 16% 22 Search DEGREE+OF+APPROXIMATION Search DEGREE+OF+APPROXIMATION
10 JACKSON ESTIMATES 298814 1% 80% 4 Search JACKSON+ESTIMATES Search JACKSON+ESTIMATES

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.



Rank Reference # ref.
in cl.
Shr. of ref. in
cl.
Citations
1 CASTEJON, A , LEWICKI, G , (2014) SUBSPACES OF CODIMENSION TWO WITH LARGE PROJECTION CONSTANTS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 420. ISSUE 2. P. 1391 -1407 21 100% 1
2 LEWICKI, G , PROPHET, M , (2007) MINIMAL MULTI-CONVEX PROJECTIONS.STUDIA MATHEMATICA. VOL. 178. ISSUE 2. P. 99-124 25 93% 2
3 MEISSNER, J , (2010) MINIMAL MULTI-CONVEX PROJECTIONS ONTO SUBSPACES OF INCOMPLETE ALGEBRAIC POLYNOMIALS.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 31. ISSUE 9. P. 1035-1052 23 92% 0
4 DEREGOWSKA, B , LEWANDOWSKA, B , (2014) A NOTE ON GENERALIZED PROJECTIONS IN C(0).ANNALES POLONICI MATHEMATICI. VOL. 111. ISSUE 1. P. 59 -72 16 100% 0
5 LEWICKI, G , PROPHET, M , (2004) CODIMENSION-ONE MINIMAL PROJECTIONS ONTO HAAR SUBSPACES.JOURNAL OF APPROXIMATION THEORY. VOL. 127. ISSUE 2. P. 198-206 20 100% 4
6 AKSOY, AG , LEWICKI, G , (2012) MINIMAL PROJECTIONS WITH RESPECT TO VARIOUS NORMS.STUDIA MATHEMATICA. VOL. 210. ISSUE 1. P. 1-16 19 83% 0
7 DEREGOWSKA, B , LEWANDOWSKA, B , (2013) ON THE UNIQUE MINIMALITY OF THE FOURIER PROJECTION IN L P SPACES.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 34. ISSUE 1. P. 1 -15 14 100% 0
8 LEVIATAN, D , (2000) SHAPE-PRESERVING APPROXIMATION BY POLYNOMIALS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 121. ISSUE 1-2. P. 73 -94 20 95% 4
9 DEREGOWSKA, B , LEWANDOWSKA, B , (2015) MINIMAL PROJECTIONS ONTO HYPERPLANES IN VECTOR-VALUED SEQUENCE SPACES.JOURNAL OF APPROXIMATION THEORY. VOL. 194. ISSUE . P. 1 -13 10 100% 0
10 AKSOY, AG , LEWICKI, G , (2011) BEST APPROXIMATION IN NUMERICAL RADIUS.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 32. ISSUE 6. P. 593 -609 14 78% 0

Classes with closest relation at Level 1



Rank Class id link
1 33318 POSITIVE TRIGONOMETRIC SUMS//FEJER JACKSON INEQUALITY//RELATIVE WIDTH
2 24647 MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS
3 28282 LIPSCHITZ ALGEBRAS//RECTIFIABLY CONNECTED//QUASICOMPACT
4 36324 NATURAL SPECTRUM//F M RIESZ THEOREM//SPECTRUM OF MEASURE
5 23180 BIEBERBACH POLYNOMIALS//QUASICONFORMAL CURVE//BERGMAN ORTHOGONAL POLYNOMIALS
6 13296 FREUD WEIGHTS//HERMITE FEJER INTERPOLATION//ERDOS WEIGHTS
7 15815 JOURNAL OF APPROXIMATION THEORY//POLYA ALGORITHM//CHEBYSHEV SUBSPACE
8 17152 INEQUALITIES IN THE COMPLEX DOMAIN//MARKOV TYPE INEQUALITY//POLAR DERIVATIVE
9 23273 NUMERICAL INDEX//DAUGAVET PROPERTY//BISHOP PHELPS BOLLOBAS THEOREM
10 7274 Q INTEGERS//MODULUS OF CONTINUITY//POSITIVE LINEAR OPERATORS

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