Class information for:
Level 2: ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//SOBOLEV ORTHOGONAL POLYNOMIALS

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
1214 8719 17.6 33%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)


ID, lev.
above		 Publications Label for level above
509 18614 ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

Classes in level below (level 1)


ID, lev. below Publications Label for level below
8291 1198 SOBOLEV ORTHOGONAL POLYNOMIALS//SOBOLEV INNER PRODUCTS//ORTHOGONAL POLYNOMIALS
12089 869 HERMITE FEJER INTERPOLATION//PAL TYPE INTERPOLATION//ERDOS WEIGHTS
13933 740 JACOBI MATRICES//VERBLUNSKY COEFFICIENTS//WYDZIAL MATEMAT INFORMAT MECH
14081 729 REMAINDER TERM FOR ANALYTIC FUNCTIONS//THE METHOD OF SOLVING NONLINEAR SYSTEMS//THE METHOD OF UNDETERMINED COEFFICIENT
14728 684 MULTIVARIATE PADE APPROXIMANTS//CONVERGENCE ACCELERATION//E ALGORITHM
15523 637 GIBBS PHENOMENON//GEGENBAUER RECONSTRUCTION//PROLATE SPHEROIDAL WAVE FUNCTIONS
16380 592 ORTHOGONAL RATIONAL FUNCTIONS//ORTHOGONAL LAURENT POLYNOMIALS//SZEGO POLYNOMIALS
17298 542 MATHIEU SERIES//TURAN TYPE INEQUALITIES//INTERLACING OF ZEROS
17657 525 APPROXIMATE FEKETE POINTS//EULER MACLAURIN EXPANSIONS//PADUA POINTS
18187 500 MEROMORPHIC APPROXIMATION//NIKISHIN SYSTEMS//BAKER GAMMEL WILLS CONJECTURE
21037 375 LITTLEWOOD POLYNOMIALS//FEKETE POLYNOMIALS//LITTLEWOOD POLYNOMIAL
22338 328 LAGUERRE POLYA CLASS//SCHUR SZEGO COMPOSITION//HALF PLANE PROPERTY
23892 277 BIEBERBACH POLYNOMIALS//BERGMAN ORTHOGONAL POLYNOMIALS//QUASICONFORMAL CURVE
24089 271 MARKOV INEQUALITY//LAGUERRE WEIGHT//DIFFERENTIATION OF COMPOSITE FUNCTIONS
25252 238 INEQUALITIES IN THE COMPLEX DOMAIN//POLAR DERIVATIVE//INTEGRAL MEAN ESTIMATES
26231 214 COMONOTONE APPROXIMATION//INT MATH//JACKSON ESTIMATES

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 ORTHOGONAL POLYNOMIALS Author keyword 376 43% 8% 678
2 JOURNAL OF APPROXIMATION THEORY Journal 326 29% 11% 963
3 SOBOLEV ORTHOGONAL POLYNOMIALS Author keyword 185 94% 1% 65
4 CONSTRUCTIVE APPROXIMATION Journal 106 31% 3% 288
5 ZEROS Author keyword 85 38% 2% 180
6 MEASURES ON THE UNIT CIRCLE Author keyword 81 96% 0% 25
7 ORTHOGONAL RATIONAL FUNCTIONS Author keyword 80 77% 1% 54
8 SOBOLEV INNER PRODUCTS Author keyword 69 96% 0% 22
9 ORTHOGONAL LAURENT POLYNOMIALS Author keyword 65 95% 0% 21
10 PARA ORTHOGONAL POLYNOMIALS Author keyword 57 95% 0% 19

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 ORTHOGONAL POLYNOMIALS 376 43% 8% 678 Search ORTHOGONAL+POLYNOMIALS Search ORTHOGONAL+POLYNOMIALS
2 SOBOLEV ORTHOGONAL POLYNOMIALS 185 94% 1% 65 Search SOBOLEV+ORTHOGONAL+POLYNOMIALS Search SOBOLEV+ORTHOGONAL+POLYNOMIALS
3 ZEROS 85 38% 2% 180 Search ZEROS Search ZEROS
4 MEASURES ON THE UNIT CIRCLE 81 96% 0% 25 Search MEASURES+ON+THE+UNIT+CIRCLE Search MEASURES+ON+THE+UNIT+CIRCLE
5 ORTHOGONAL RATIONAL FUNCTIONS 80 77% 1% 54 Search ORTHOGONAL+RATIONAL+FUNCTIONS Search ORTHOGONAL+RATIONAL+FUNCTIONS
6 SOBOLEV INNER PRODUCTS 69 96% 0% 22 Search SOBOLEV+INNER+PRODUCTS Search SOBOLEV+INNER+PRODUCTS
7 ORTHOGONAL LAURENT POLYNOMIALS 65 95% 0% 21 Search ORTHOGONAL+LAURENT+POLYNOMIALS Search ORTHOGONAL+LAURENT+POLYNOMIALS
8 PARA ORTHOGONAL POLYNOMIALS 57 95% 0% 19 Search PARA+ORTHOGONAL+POLYNOMIALS Search PARA+ORTHOGONAL+POLYNOMIALS
9 MARKOV INEQUALITY 54 80% 0% 33 Search MARKOV+INEQUALITY Search MARKOV+INEQUALITY
10 SOBOLEV INNER PRODUCT 53 95% 0% 18 Search SOBOLEV+INNER+PRODUCT Search SOBOLEV+INNER+PRODUCT

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 ORTHOGONAL POLYNOMIALS 290 37% 7% 624
2 UNIT CIRCLE 118 56% 2% 143
3 COHERENT PAIRS 112 97% 0% 32
4 EXTREMAL POLYNOMIALS 99 88% 1% 46
5 GIBBS PHENOMENON 77 62% 1% 79
6 FREUD WEIGHTS 68 84% 0% 37
7 MEAN CONVERGENCE 65 72% 1% 51
8 RELATIVE ASYMPTOTICS 57 95% 0% 19
9 CHRISTOFFEL FUNCTIONS 56 73% 0% 43
10 ORTHOGONAL LAURENT POLYNOMIALS 45 94% 0% 16

Journals


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 JOURNAL OF APPROXIMATION THEORY 326 29% 11% 963
2 CONSTRUCTIVE APPROXIMATION 106 31% 3% 288
3 NUMERICAL ALGORITHMS 23 12% 2% 186
4 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 9 13% 1% 65
5 COMPUTATIONAL METHODS AND FUNCTION THEORY 2 11% 0% 22

Reviews


Title Publ. year Cit. Active references % act. ref.
to same field
MONOMIAL CUBATURE RULES SINCE STROUD - A COMPILATION 1993 95 20 90%
A Review of David Gottlieb's Work on the Resolution of the Gibbs Phenomenon 2011 9 24 92%
Review of two vector extrapolation methods of polynomial type with applications to large-scale problems 2012 6 13 85%
OPUC on one foot 2005 43 39 72%
Convergence acceleration during the 20th century 2000 47 62 81%
FREUD,GEZA, ORTHOGONAL POLYNOMIALS AND CHRISTOFFEL FUNCTIONS - A CASE-STUDY 1986 190 103 78%
Scalar Levin-type sequence transformations 2000 31 38 79%
Convergence analysis of Krylov subspace iterations with methods from potential theory 2006 28 40 45%
Cubature formulae and orthogonal polynomials 2001 19 19 89%
A Review of Error Estimation in Adaptive Quadrature 2012 3 15 73%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 SANJESH ORG 23 100% 0.1% 10
2 PL MATH SOFTWARE 21 61% 0.3% 22
3 CONSTRUCT MATH 19 80% 0.1% 12
4 ABT DYNAM SYST PROXIMAT THEORIE 18 83% 0.1% 10
5 MTA SZTE ANAL STOCHAST GRP 13 69% 0.1% 11
6 CARLOS I FIS TEOR COMPUTAC 12 19% 0.6% 55
7 MATH CONSTRUCT MATH 12 86% 0.1% 6
8 DCCE 12 59% 0.1% 13
9 CIENCIAS COMPUTACAO ESTATIST 11 52% 0.2% 15
10 PROJECT ICS 11 78% 0.1% 7

Related classes at same level (level 2)


Rank Relatedness score Related classes
1 0.0000020995 RANDOM MATRICES//KAC RICE FORMULA//SAMPLE COVARIANCE MATRICES
2 0.0000018410 OPERATIONAL METHODS//MATRIX ORTHOGONAL POLYNOMIALS//MATRIX ORTHOGONALITY
3 0.0000016635 GEOMATH GRP//SPHERICAL DESIGNS//NEEDLETS
4 0.0000013008 NEUTRIX LIMIT//HYPERASYMPTOTICS//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
5 0.0000011397 OPERATIONAL MATRIX//TAU METHOD//TAYLOR POLYNOMIALS AND SERIES
6 0.0000010526 GENERALIZED MAXIMUM ENTROPY//ENTHALPY DISTRIBUTION//FRACTIONAL MOMENTS
7 0.0000009130 MAHLER MEASURE//HILBERTS TENTH PROBLEM//INTEGER TRANSFINITE DIAMETER
8 0.0000009090 CARLEMAN MATRIX//OPTIMAL RECOVERY//JACKSON INEQUALITY
9 0.0000008250 RAMANUJAN JOURNAL//Q SERIES//BASIC HYPERGEOMETRIC SERIES
10 0.0000007352 LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//DRAZIN INVERSE