Class information for:
Level 2: ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1193 9261 18.4 35%


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
7380 1                   ORTHOGONAL POLYNOMIALS//SOBOLEV ORTHOGONAL POLYNOMIALS//SOBOLEV INNER PRODUCTS 1373
12595 1                   UNIFORM ASYMPTOTIC EXPANSION//ZEROS//TURAN TYPE INEQUALITIES 894
13296 1                   FREUD WEIGHTS//HERMITE FEJER INTERPOLATION//ERDOS WEIGHTS 848
13996 1                   CAUCHY PRINCIPAL VALUE INTEGRALS//CAUCHY SINGULAR INTEGRAL EQUATION//FINITE PART INTEGRAL 800
14984 1                   GEOMATH GRP//SPHERICAL DESIGNS//EUCLIDEAN DESIGN 738
15602 1                   REMAINDER TERM FOR ANALYTIC FUNCTIONS//THE METHOD OF UNDETERMINED COEFFICIENT//OSCILLATORY INTEGRALS 703
15853 1                   CONVERGENCE ACCELERATION//MULTIVARIATE PADE APPROXIMANTS//SEQUENCE TRANSFORMATIONS 688
16438 1                   ORTHOGONAL RATIONAL FUNCTIONS//SZEGO POLYNOMIALS//ORTHOGONAL LAURENT POLYNOMIALS 653
17336 1                   GIBBS PHENOMENON//PROLATE SPHEROIDAL WAVE FUNCTIONS//GEGENBAUER RECONSTRUCTION 605
18858 1                   NIKISHIN SYSTEMS//MEROMORPHIC APPROXIMATION//HERMITE PADE APPROXIMANTS 533
21638 1                   IDEAL PROJECTOR//KERGIN INTERPOLATION//RADON PROJECTIONS 411
22622 1                   CUBATURE//APPROXIMATE FEKETE POINTS//PADUA POINTS 374
23180 1                   BIEBERBACH POLYNOMIALS//QUASICONFORMAL CURVE//BERGMAN ORTHOGONAL POLYNOMIALS 355
30853 1                   SURLENS//NONUNIFORM FAST FOURIER TRANSFORM//NFFT 162
33484 1                   EIKONAL TRANSFORMATION//HIGH OSCILLATIONS//FINITE HANKEL TRANSFORM 124

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 ORTHOGONAL POLYNOMIALS authKW 895607 7% 41% 656
2 JOURNAL OF APPROXIMATION THEORY journal 554377 8% 22% 758
3 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS journal 393161 12% 11% 1099
4 ZEROS authKW 225612 2% 39% 176
5 SOBOLEV ORTHOGONAL POLYNOMIALS authKW 220828 1% 99% 68
6 CONSTRUCTIVE APPROXIMATION journal 187421 3% 24% 238
7 MATHEMATICS, APPLIED WoSSC 180641 55% 1% 5104
8 ORTHOGONAL RATIONAL FUNCTIONS authKW 142378 1% 79% 55
9 SOBOLEV INNER PRODUCTS authKW 131886 0% 98% 41
10 MULTIPLE ORTHOGONAL POLYNOMIALS authKW 125056 1% 72% 53

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, Applied 180641 55% 1% 5104
2 Mathematics 85167 42% 1% 3863
3 Physics, Mathematical 2984 6% 0% 525
4 Computer Science, Interdisciplinary Applications 818 3% 0% 295
5 Computer Science, Software Engineering 741 3% 0% 237
6 Computer Science, Theory & Methods 503 3% 0% 252
7 Mathematics, Interdisciplinary Applications 335 2% 0% 171
8 Engineering, General 142 1% 0% 138
9 Mechanics 61 2% 0% 185
10 Multidisciplinary Sciences 1 0% 0% 31

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 GEOMATH GRP 120489 1% 76% 48
2 CONSTRUCT PROXIMAT 61843 0% 57% 33
3 PL MATH SOFTWARE 43088 0% 59% 22
4 CONSTRUCT MATH 43056 0% 93% 14
5 CARLOS I FIS TEOR COMPUTAC 38419 1% 19% 60
6 MATH 34645 23% 1% 2172
7 ANAL NUMER OPTIMISAT 33005 0% 48% 21
8 SANJESH ORG 32952 0% 100% 10
9 ESTADIST MATEMAT LICADA 25044 0% 23% 33
10 MATH CONSTRUCT MATH 20182 0% 88% 7

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 554377 8% 22% 758
2 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 393161 12% 11% 1099
3 CONSTRUCTIVE APPROXIMATION 187421 3% 24% 238
4 NUMERICAL ALGORITHMS 96575 2% 13% 229
5 MATHEMATICS OF COMPUTATION 53634 3% 6% 255
6 NUMERISCHE MATHEMATIK 49372 2% 7% 212
7 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 39790 1% 10% 123
8 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 36071 1% 14% 79
9 APPLIED NUMERICAL MATHEMATICS 32509 2% 6% 171
10 ACTA MATHEMATICA HUNGARICA 31597 2% 6% 169

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 ORTHOGONAL POLYNOMIALS 895607 7% 41% 656 Search ORTHOGONAL+POLYNOMIALS Search ORTHOGONAL+POLYNOMIALS
2 ZEROS 225612 2% 39% 176 Search ZEROS Search ZEROS
3 SOBOLEV ORTHOGONAL POLYNOMIALS 220828 1% 99% 68 Search SOBOLEV+ORTHOGONAL+POLYNOMIALS Search SOBOLEV+ORTHOGONAL+POLYNOMIALS
4 ORTHOGONAL RATIONAL FUNCTIONS 142378 1% 79% 55 Search ORTHOGONAL+RATIONAL+FUNCTIONS Search ORTHOGONAL+RATIONAL+FUNCTIONS
5 SOBOLEV INNER PRODUCTS 131886 0% 98% 41 Search SOBOLEV+INNER+PRODUCTS Search SOBOLEV+INNER+PRODUCTS
6 MULTIPLE ORTHOGONAL POLYNOMIALS 125056 1% 72% 53 Search MULTIPLE+ORTHOGONAL+POLYNOMIALS Search MULTIPLE+ORTHOGONAL+POLYNOMIALS
7 SPHERICAL DESIGNS 120489 1% 76% 48 Search SPHERICAL+DESIGNS Search SPHERICAL+DESIGNS
8 LAGRANGE INTERPOLATION 116048 1% 36% 99 Search LAGRANGE+INTERPOLATION Search LAGRANGE+INTERPOLATION
9 THREE TERM RECURRENCE RELATIONS 112440 0% 74% 46 Search THREE+TERM+RECURRENCE+RELATIONS Search THREE+TERM+RECURRENCE+RELATIONS
10 CONVERGENCE ACCELERATION 107257 1% 38% 86 Search CONVERGENCE+ACCELERATION Search CONVERGENCE+ACCELERATION

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 NOTARIS, SE , (2016) GAUSS-KRONROD QUADRATURE FORMULAE - A SURVEY OF FIFTY YEARS OF RESEARCH.ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. VOL. 45. ISSUE . P. 371 -404 100 93% 1
2 BRAUCHART, JS , GRABNER, PJ , (2015) DISTRIBUTING MANY POINTS ON SPHERES: MINIMAL ENERGY AND DESIGNS.JOURNAL OF COMPLEXITY. VOL. 31. ISSUE 3. P. 293 -326 88 72% 2
3 BANNAI, E , BANNAI, E , (2009) A SURVEY ON SPHERICAL DESIGNS AND ALGEBRAIC COMBINATORICS ON SPHERES.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 30. ISSUE 6. P. 1392 -1425 68 75% 35
4 APTEKAREV, AI , BUSLAEV, VI , MARTINEZ-FINKELSHTEIN, A , SUETIN, SP , (2011) PADE APPROXIMANTS, CONTINUED FRACTIONS, AND ORTHOGONAL POLYNOMIALS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 66. ISSUE 6. P. 1049 -1131 58 79% 13
5 HE, G , XIANG, SH , XU, ZH , (2016) A CHEBYSHEV COLLOCATION METHOD FOR A CLASS OF FREDHOLM INTEGRAL EQUATIONS WITH HIGHLY OSCILLATORY KERNELS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 300. ISSUE . P. 354 -368 33 100% 0
6 SPALEVIC, MM , CVETKOVIC, AS , (2016) ESTIMATING THE ERROR OF GAUSSIAN QUADRATURES WITH SIMPLE AND MULTIPLE NODES BY USING THEIR EXTENSIONS WITH MULTIPLE NODES.BIT NUMERICAL MATHEMATICS. VOL. 56. ISSUE 1. P. 357 -374 30 100% 1
7 ADCOCK, B , HANSEN, AC , SHADRIN, A , (2014) A STABILITY BARRIER FOR RECONSTRUCTIONS FROM FOURIER SAMPLES.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 52. ISSUE 1. P. 125 -139 33 97% 2
8 SPALEVIC, MM , (2014) ERROR BOUNDS AND ESTIMATES FOR GAUSS-TURAN QUADRATURE FORMULAE OF ANALYTIC FUNCTIONS.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 52. ISSUE 1. P. 443-467 31 100% 1
9 XIANG, SH , FANG, CH , XU, ZH , (2016) ON UNIFORM APPROXIMATIONS TO HYPERSINGULAR FINITE-PART INTEGRALS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 435. ISSUE 2. P. 1210 -1228 34 87% 0
10 BREZINSKI, C , (2000) CONVERGENCE ACCELERATION DURING THE 20TH CENTURY.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 122. ISSUE 1-2. P. 1-21 51 82% 52

Classes with closest relation at Level 2


Rank Class id link
1 2653 BASIC HYPERGEOMETRIC SERIES//OPERATIONAL METHODS//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
2 3975 LAPLACE TRANSFORM INVERSION//FRACTIONAL MOMENTS//MOMENT PROBLEM
3 2388 RANDOM MATRICES//RANDOM MATRICES-THEORY AND APPLICATIONS//RANDOM MATRIX
4 2288 MODULUS OF CONTINUITY//JOURNAL OF APPROXIMATION THEORY//MODULUS OF SMOOTHNESS
5 2845 VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//BLOCK PULSE FUNCTIONS
6 4023 SUBNORMS//HYPERGROUPS//CONVENIENT SETTING
7 3270 JOURNAL OF COMPLEXITY//QUASI MONTE CARLO METHODS//QUASI MONTE CARLO
8 1289 ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//BOUNDARY ELEMENT METHOD//METHOD OF FUNDAMENTAL SOLUTIONS
9 3266 MAHLER MEASURE//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS
10 1602 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES//GABOR FRAMES

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