Class information for:
Level 1: ENTROPY NUMBERS//APPROXIMATION NUMBERS//COMPACT EMBEDDINGS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19898 485 20.2 31%


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
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
842 2             MATHEMATICS//MAXIMAL OPERATOR//BMO 11754
19898 1                   ENTROPY NUMBERS//APPROXIMATION NUMBERS//COMPACT EMBEDDINGS 485

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 ENTROPY NUMBERS authKW 1854302 10% 63% 47
2 APPROXIMATION NUMBERS authKW 785717 6% 40% 31
3 COMPACT EMBEDDINGS authKW 761778 5% 55% 22
4 GELFAND NUMBERS authKW 566620 2% 75% 12
5 S NUMBERS authKW 442661 3% 47% 15
6 KOLMOGOROV NUMBERS authKW 339969 2% 60% 9
7 BERNSTEIN NUMBERS authKW 262325 1% 83% 5
8 WEYL NUMBERS authKW 262325 1% 83% 5
9 WEIGHTED FUNCTION SPACES authKW 221712 2% 39% 9
10 HARDY TYPE OPERATORS authKW 201465 1% 80% 4

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 21490 89% 0% 434
2 Mathematics, Applied 2041 26% 0% 128
3 Multidisciplinary Sciences 43 2% 0% 9
4 Physics, Mathematical 15 2% 0% 11
5 Computer Science, Theory & Methods 3 1% 0% 7
6 Statistics & Probability -0 0% 0% 2
7 Computer Science, Software Engineering -1 0% 0% 1
8 Mechanics -1 1% 0% 3
9 Computer Science, Information Systems -1 0% 0% 1
10 Computer Science, Artificial Intelligence -2 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 AB FUNKT ANAL 62958 0% 100% 1
2 BC 186 62958 0% 100% 1
3 IMAS UBA CONICET 62958 0% 100% 1
4 SKEKLOW MATH 62958 0% 100% 1
5 CMAIA 31478 0% 50% 1
6 T MATH PHYS 31478 0% 50% 1
7 EQUIPE ANAL FONCTIONNELLE 20983 0% 17% 2
8 STEKLOV MATH 19270 3% 2% 15
9 FAK MATH INFORMAT 17328 3% 2% 14
10 VA STEKLOV MATH 8254 3% 1% 13

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 44259 10% 1% 49
2 MATHEMATISCHE NACHRICHTEN 29039 9% 1% 43
3 REVISTA MATEMATICA COMPLUTENSE 27681 2% 4% 11
4 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 10166 3% 1% 13
5 STUDIA MATHEMATICA 9470 4% 1% 21
6 RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS 6495 2% 1% 9
7 JOURNAL OF FUNCTION SPACES AND APPLICATIONS 6232 1% 2% 6
8 MATHEMATICAL NOTES 6090 5% 0% 22
9 JOURNAL OF COMPLEXITY 3833 1% 1% 7
10 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 3411 3% 0% 14

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 ENTROPY NUMBERS 1854302 10% 63% 47 Search ENTROPY+NUMBERS Search ENTROPY+NUMBERS
2 APPROXIMATION NUMBERS 785717 6% 40% 31 Search APPROXIMATION+NUMBERS Search APPROXIMATION+NUMBERS
3 COMPACT EMBEDDINGS 761778 5% 55% 22 Search COMPACT+EMBEDDINGS Search COMPACT+EMBEDDINGS
4 GELFAND NUMBERS 566620 2% 75% 12 Search GELFAND+NUMBERS Search GELFAND+NUMBERS
5 S NUMBERS 442661 3% 47% 15 Search S+NUMBERS Search S+NUMBERS
6 KOLMOGOROV NUMBERS 339969 2% 60% 9 Search KOLMOGOROV+NUMBERS Search KOLMOGOROV+NUMBERS
7 BERNSTEIN NUMBERS 262325 1% 83% 5 Search BERNSTEIN+NUMBERS Search BERNSTEIN+NUMBERS
8 WEYL NUMBERS 262325 1% 83% 5 Search WEYL+NUMBERS Search WEYL+NUMBERS
9 WEIGHTED FUNCTION SPACES 221712 2% 39% 9 Search WEIGHTED+FUNCTION+SPACES Search WEIGHTED+FUNCTION+SPACES
10 HARDY TYPE OPERATORS 201465 1% 80% 4 Search HARDY+TYPE+OPERATORS Search HARDY+TYPE+OPERATORS

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 VASIL'EVA, AA , (2016) ESTIMATES FOR THE ENTROPY NUMBERS OF EMBEDDING OPERATORS OF FUNCTION SPACES ON SETS WITH TREE-LIKE STRUCTURE: SOME LIMITING CASES.JOURNAL OF COMPLEXITY. VOL. 36. ISSUE . P. 74 -105 30 94% 0
2 VASIL'EVA, AA , (2014) WIDTHS OF WEIGHTED SOBOLEV CLASSES ON A JOHN DOMAIN: STRONG SINGULARITY AT A POINT.REVISTA MATEMATICA COMPLUTENSE. VOL. 27. ISSUE 1. P. 167-212 30 83% 0
3 CARL, B , HINRICHS, A , RUDOLPH, P , (2014) ENTROPY NUMBERS OF CONVEX HULLS IN BANACH SPACES AND APPLICATIONS.JOURNAL OF COMPLEXITY. VOL. 30. ISSUE 5. P. 555 -587 27 71% 0
4 ZHANG, S , FANG, GS , HUANG, FL , (2014) SOME S-NUMBERS OF EMBEDDINGS IN FUNCTION SPACES WITH POLYNOMIAL WEIGHTS.JOURNAL OF COMPLEXITY. VOL. 30. ISSUE 4. P. 514-532 19 95% 1
5 VASIL'EVA, AA , (2014) EMBEDDING THEOREM FOR WEIGHTED SOBOLEV CLASSES WITH WEIGHTS THAT ARE FUNCTIONS OF THE DISTANCE TO SOME H-SET.RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS. VOL. 21. ISSUE 1. P. 112 -122 22 76% 0
6 GASIOROWSKA, A , SKRZYPCZAK, L , (2013) SOME S-NUMBERS OF EMBEDDINGS OF FUNCTION SPACES WITH WEIGHTS OF LOGARITHMIC TYPE.MATHEMATISCHE NACHRICHTEN. VOL. 286. ISSUE 7. P. 644-658 16 100% 4
7 VASIL'EVA, AA , (2013) EMBEDDING THEOREM FOR WEIGHTED SOBOLEV CLASSES ON A JOHN DOMAIN WITH WEIGHTS THAT ARE FUNCTIONS OF THE DISTANCE TO SOME H-SET.RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS. VOL. 20. ISSUE 3. P. 360-373 21 78% 0
8 VASIL'EVA, AA , (2013) KOLMOGOROV AND LINEAR WIDTHS OF THE WEIGHTED BESOV CLASSES WITH SINGULARITY AT THE ORIGIN.JOURNAL OF APPROXIMATION THEORY. VOL. 167. ISSUE . P. 1-41 19 83% 0
9 HAROSKE, DA , TRIEBEL, H , (2005) WAVELET BASES AND ENTROPY NUMBERS IN WEIGHTED FUNCTION SPACES.MATHEMATISCHE NACHRICHTEN. VOL. 278. ISSUE 1-2. P. 108-132 21 84% 27
10 CARL, B , HINRICHS, A , PAJOR, A , (2013) GELFAND NUMBERS AND METRIC ENTROPY OF CONVEX HULLS IN HILBERT SPACES.POSITIVITY. VOL. 17. ISSUE 1. P. 171-203 18 82% 3

Classes with closest relation at Level 1


Rank Class id link
1 6458 LORENTZ SPACES//REARRANGEMENT INVARIANT SPACES//REAL INTERPOLATION
2 26692 PROJET ANAL FONCTIONNELLE//FUNCTIONS OF BOUNDED P VARIATION//FACTORISATION INEQUALITY
3 33318 POSITIVE TRIGONOMETRIC SUMS//FEJER JACKSON INEQUALITY//RELATIVE WIDTH
4 20588 QUASI GREEDY BASIS//THRESHOLDING GREEDY ALGORITHM//BEST M TERM APPROXIMATION
5 4326 CONVEX BODY//STAR BODY//INTERSECTION BODY
6 12830 SMALL DEVIATIONS//SMALL BALL PROBABILITY//LARGE DEVIATION PROBABILITY
7 5559 RIESZ TRANSFORM//SPECTRAL MULTIPLIERS//HARDY SPACE
8 26396 POSITIVE DEFINITE KERNELS//MERCERS THEOREM//FOURIER INVERSION FORMULA
9 6534 DOUBLING MEASURE//ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA//QUASIHYPERBOLIC METRIC
10 26206 OPTIMAL RECOVERY//UNIFORMLY DISTRIBUTED GRIDS//THEORET MATH SCI COMPUTAT

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