Class information for:
Level 1: FREUD WEIGHTS//HERMITE FEJER INTERPOLATION//ERDOS WEIGHTS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13296 848 15.8 32%


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
404 3       MATHEMATICS//ORTHOGONAL POLYNOMIALS//MATHEMATICS, APPLIED 29787
1193 2             ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 9261
13296 1                   FREUD WEIGHTS//HERMITE FEJER INTERPOLATION//ERDOS WEIGHTS 848

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 FREUD WEIGHTS authKW 720984 3% 69% 29
2 HERMITE FEJER INTERPOLATION authKW 656812 3% 79% 23
3 ERDOS WEIGHTS authKW 612123 2% 100% 17
4 EXPONENTIAL WEIGHTS authKW 582322 3% 56% 29
5 JOURNAL OF APPROXIMATION THEORY journal 492540 25% 6% 216
6 PAL TYPE INTERPOLATION authKW 396080 1% 100% 11
7 LAGRANGE INTERPOLATION authKW 298340 6% 17% 48
8 MEAN CONVERGENCE authKW 226198 2% 37% 17
9 NONUNIFORMLY DISTRIBUTED NODES authKW 220543 1% 88% 7
10 GENERALIZED CHRISTOFFEL FUNCTION authKW 180036 1% 100% 5

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 25774 74% 0% 631
2 Mathematics, Applied 5342 32% 0% 271
3 Computer Science, Software Engineering 3 1% 0% 8
4 Multidisciplinary Sciences 1 0% 0% 4
5 Physics, Mathematical 1 1% 0% 9
6 Computer Science, Interdisciplinary Applications -0 1% 0% 5
7 Computer Science, Theory & Methods -0 1% 0% 5
8 Mathematics, Interdisciplinary Applications -0 0% 0% 3
9 Statistics & Probability -1 0% 0% 3
10 Automation & Control Systems -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 MATH CONSTRUCT MATH 162030 1% 75% 6
2 PLICABLE ANAL NUMBER THEORY 103777 1% 41% 7
3 CONSTRUCT MATH 86410 1% 40% 6
4 IST PLICAZ MATEMAT 41805 1% 19% 6
5 ABTEILUNG DYNAM SYST PROXIMATIONSTHEORIE 36007 0% 100% 1
6 ANO EDPUMR 8524 36007 0% 100% 1
7 COMPLES MONTE SANT ANGELO 36007 0% 100% 1
8 COMPUTAT MAT SCI ENGN COMPUTING 36007 0% 100% 1
9 CONTRUCT MATH 36007 0% 100% 1
10 IST G CASTELNUOVO DIPARTIMENTO MATEMAT 36007 0% 100% 1

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 492540 25% 6% 216
2 ACTA MATHEMATICA HUNGARICA 150226 13% 4% 111
3 CONSTRUCTIVE APPROXIMATION 90466 6% 5% 50
4 ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE 42234 2% 8% 14
5 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 12750 7% 1% 60
6 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 6320 1% 2% 10
7 ACTA SCIENTIARUM MATHEMATICARUM 3052 1% 2% 5
8 BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 2416 2% 0% 15
9 STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA 2156 1% 1% 6
10 MATHEMATICS OF COMPUTATION 2016 2% 0% 15

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 FREUD WEIGHTS 720984 3% 69% 29 Search FREUD+WEIGHTS Search FREUD+WEIGHTS
2 HERMITE FEJER INTERPOLATION 656812 3% 79% 23 Search HERMITE+FEJER+INTERPOLATION Search HERMITE+FEJER+INTERPOLATION
3 ERDOS WEIGHTS 612123 2% 100% 17 Search ERDOS+WEIGHTS Search ERDOS+WEIGHTS
4 EXPONENTIAL WEIGHTS 582322 3% 56% 29 Search EXPONENTIAL+WEIGHTS Search EXPONENTIAL+WEIGHTS
5 PAL TYPE INTERPOLATION 396080 1% 100% 11 Search PAL+TYPE+INTERPOLATION Search PAL+TYPE+INTERPOLATION
6 LAGRANGE INTERPOLATION 298340 6% 17% 48 Search LAGRANGE+INTERPOLATION Search LAGRANGE+INTERPOLATION
7 MEAN CONVERGENCE 226198 2% 37% 17 Search MEAN+CONVERGENCE Search MEAN+CONVERGENCE
8 NONUNIFORMLY DISTRIBUTED NODES 220543 1% 88% 7 Search NONUNIFORMLY+DISTRIBUTED+NODES Search NONUNIFORMLY+DISTRIBUTED+NODES
9 GENERALIZED CHRISTOFFEL FUNCTION 180036 1% 100% 5 Search GENERALIZED+CHRISTOFFEL+FUNCTION Search GENERALIZED+CHRISTOFFEL+FUNCTION
10 ORTHONORMAL POLYNOMIALS 169017 2% 36% 13 Search ORTHONORMAL+POLYNOMIALS Search ORTHONORMAL+POLYNOMIALS

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 MHASKAR, HN , (2004) A TRIBUTE TO GEZA FREUD.JOURNAL OF APPROXIMATION THEORY. VOL. 126. ISSUE 1. P. 1 -15 33 80% 1
2 MASTROIANNI, G , NOTARANGELO, I , (2013) LAGRANGE INTERPOLATION WITH EXPONENTIAL WEIGHTS ON (-1,1).JOURNAL OF APPROXIMATION THEORY. VOL. 167. ISSUE . P. 65-93 17 100% 1
3 JUNG, HS , (2005) NECESSARY CONDITIONS OF CONVERGENCE OF HERMITE-FEJER INTERPOLATION POLYNOMIALS FOR EXPONENTIAL WEIGHTS.JOURNAL OF APPROXIMATION THEORY. VOL. 136. ISSUE 1. P. 26 -44 20 100% 2
4 GANZBURG, MI , (2008) LIMIT THEOREMS OF POLYNOMIAL APPROXIMATION WITH EXPONENTIAL WEIGHTS.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 192. ISSUE 897. P. 1-+ 22 79% 1
5 LUBINSKY, DS , (1993) AN UPDATE ON ORTHOGONAL POLYNOMIALS AND WEIGHTED APPROXIMATION ON THE REAL LINE.ACTA APPLICANDAE MATHEMATICAE. VOL. 33. ISSUE 2-3. P. 121-164 35 76% 29
6 DAMELIN, SB , JUNG, HS , KWON, KH , (2003) MEAN CONVERGENCE OF EXTENDED LAGRANGE INTERPOLATION FOR EXPONENTIAL WEIGHTS.ACTA APPLICANDAE MATHEMATICAE. VOL. 76. ISSUE 1. P. 17 -36 19 100% 1
7 DAMELIN, SB , (2003) MARCINKIEWICZ-ZYGMUND INEQUALITIES AND THE NUMERICAL APPROXIMATION OF SINGULAR INTEGRALS FOR EXPONENTIAL WEIGHTS: METHODS, RESULTS AND OPEN PROBLEMS, SOME NEW, SOME OLD.JOURNAL OF COMPLEXITY. VOL. 19. ISSUE 3. P. 406-415 22 85% 2
8 MASTROIANNI, G , NOTARANGELO, I , (2010) A LAGRANGE-TYPE PROJECTOR ON THE REAL LINE.MATHEMATICS OF COMPUTATION. VOL. 79. ISSUE 269. P. 327-352 16 94% 5
9 HORVATH, AP , (2007) WEIGHTED HERMITE-FEJER INTERPOLATION ON THE REAL LINE: L-INFINITY CASE.ACTA MATHEMATICA HUNGARICA. VOL. 115. ISSUE 1-2. P. 101-131 16 94% 1
10 BENKO, D , (2012) WEIGHTED APPROXIMATION FOR WEAK CONVEX EXTERNAL FIELDS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 385. ISSUE 1. P. 447-457 15 88% 0

Classes with closest relation at Level 1


Rank Class id link
1 15602 REMAINDER TERM FOR ANALYTIC FUNCTIONS//THE METHOD OF UNDETERMINED COEFFICIENT//OSCILLATORY INTEGRALS
2 17152 INEQUALITIES IN THE COMPLEX DOMAIN//MARKOV TYPE INEQUALITY//POLAR DERIVATIVE
3 36311 CONVERGENCE WITH RATES//DIRICHLET PROBLEM CONTINUOUS AND DISCRETE//FIRST AND SECOND MODULI OF CONTINUITY
4 32188 SHEPARD OPERATOR//COMBINED SHEPARD OPERATORS//SHEPARD METHOD
5 23180 BIEBERBACH POLYNOMIALS//QUASICONFORMAL CURVE//BERGMAN ORTHOGONAL POLYNOMIALS
6 13996 CAUCHY PRINCIPAL VALUE INTEGRALS//CAUCHY SINGULAR INTEGRAL EQUATION//FINITE PART INTEGRAL
7 7380 ORTHOGONAL POLYNOMIALS//SOBOLEV ORTHOGONAL POLYNOMIALS//SOBOLEV INNER PRODUCTS
8 23990 MINIMAL PROJECTION//PROJECTION CONSTANTS//COMONOTONE APPROXIMATION
9 18858 NIKISHIN SYSTEMS//MEROMORPHIC APPROXIMATION//HERMITE PADE APPROXIMANTS
10 24647 MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS

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