Class information for:
Level 1: POSITIVE TRIGONOMETRIC SUMS//FEJER JACKSON INEQUALITY//RELATIVE WIDTH

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
636 3       CONVEX BODY//JOURNAL OF COMPLEXITY//STEREOLOGY 11958
2770 2             JOURNAL OF COMPLEXITY//QUASI MONTE CARLO METHODS//QUASI MONTE CARLO 3398
29605 1                   POSITIVE TRIGONOMETRIC SUMS//FEJER JACKSON INEQUALITY//RELATIVE WIDTH 200

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 POSITIVE TRIGONOMETRIC SUMS authKW 810432 3% 86% 6
2 FEJER JACKSON INEQUALITY authKW 472753 2% 100% 3
3 RELATIVE WIDTH authKW 437730 3% 56% 5
4 AVERAGE DIMENSION authKW 354563 2% 75% 3
5 INFINITE DIMENSIONAL WIDTH authKW 354563 2% 75% 3
6 APPROXIMATION OF SOBOLEV CLASSES authKW 315169 1% 100% 2
7 AVERAGE SIGMA K WIDTH authKW 315169 1% 100% 2
8 COSINE SUMS authKW 315169 1% 100% 2
9 EIGENVALUE PROBLEM FOR P BIHARMONIC OPERATOR authKW 315169 1% 100% 2
10 ESTIMATES OF PRINCIPAL EIGENVALUE SUBJECT TO NAVIER BOUNDARY CONDITIONS authKW 315169 1% 100% 2

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 7749 84% 0% 168
2 Mathematics, Applied 1433 34% 0% 68
3 Multidisciplinary Sciences 96 4% 0% 8
4 Mathematics, Interdisciplinary Applications 9 2% 0% 4
5 Computer Science, Software Engineering 8 2% 0% 4
6 Mechanics 3 3% 0% 5
7 History & Philosophy of Science 2 1% 0% 1
8 Computer Science, Theory & Methods 0 1% 0% 2
9 Physics, Mathematical 0 1% 0% 2
10 Statistics & Probability -0 1% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CIENCIAS COMPUTAC ESTATIST 157584 1% 100% 1
2 OFF VICE CHANCELLOR PRINCIPAL 157584 1% 100% 1
3 CIENCIA COMPUTACAO ESTATIST 39395 1% 25% 1
4 CIENCIAS COMP ESTAT 5432 1% 3% 1
5 NTIS 3367 1% 1% 2
6 MATH COMPLEX SYST 3245 2% 1% 4
7 MATH INFORMAT ENGN 2701 1% 1% 2
8 VA STEKLOV MATH 1933 2% 0% 4
9 STEKLOV MATH 1686 2% 0% 3
10 MATH MECH 1535 3% 0% 6

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATHEMATICAL NOTES 19262 13% 0% 25
2 JOURNAL OF APPROXIMATION THEORY 10268 8% 0% 15
3 SBORNIK MATHEMATICS 4836 4% 0% 7
4 CONSTRUCTIVE APPROXIMATION 3849 3% 0% 5
5 VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA 3793 3% 0% 5
6 ANALYSIS MATHEMATICA 3771 1% 1% 2
7 UKRAINIAN MATHEMATICAL JOURNAL 2433 2% 0% 4
8 MATHEMATICS OF THE USSR-SBORNIK 2017 2% 0% 3
9 INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING 2003 2% 0% 3
10 ANALYSIS AND APPLICATIONS 1772 1% 1% 2

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 POSITIVE TRIGONOMETRIC SUMS 810432 3% 86% 6 Search POSITIVE+TRIGONOMETRIC+SUMS Search POSITIVE+TRIGONOMETRIC+SUMS
2 FEJER JACKSON INEQUALITY 472753 2% 100% 3 Search FEJER+JACKSON+INEQUALITY Search FEJER+JACKSON+INEQUALITY
3 RELATIVE WIDTH 437730 3% 56% 5 Search RELATIVE+WIDTH Search RELATIVE+WIDTH
4 AVERAGE DIMENSION 354563 2% 75% 3 Search AVERAGE+DIMENSION Search AVERAGE+DIMENSION
5 INFINITE DIMENSIONAL WIDTH 354563 2% 75% 3 Search INFINITE+DIMENSIONAL+WIDTH Search INFINITE+DIMENSIONAL+WIDTH
6 APPROXIMATION OF SOBOLEV CLASSES 315169 1% 100% 2 Search APPROXIMATION+OF+SOBOLEV+CLASSES Search APPROXIMATION+OF+SOBOLEV+CLASSES
7 AVERAGE SIGMA K WIDTH 315169 1% 100% 2 Search AVERAGE+SIGMA+K+WIDTH Search AVERAGE+SIGMA+K+WIDTH
8 COSINE SUMS 315169 1% 100% 2 Search COSINE+SUMS Search COSINE+SUMS
9 EIGENVALUE PROBLEM FOR P BIHARMONIC OPERATOR 315169 1% 100% 2 Search EIGENVALUE+PROBLEM+FOR+P+BIHARMONIC+OPERATOR Search EIGENVALUE+PROBLEM+FOR+P+BIHARMONIC+OPERATOR
10 ESTIMATES OF PRINCIPAL EIGENVALUE SUBJECT TO NAVIER BOUNDARY CONDITIONS 315169 1% 100% 2 Search ESTIMATES+OF+PRINCIPAL+EIGENVALUE+SUBJECT+TO+NAVIER+BOUNDARY+CONDITIONS Search ESTIMATES+OF+PRINCIPAL+EIGENVALUE+SUBJECT+TO+NAVIER+BOUNDARY+CONDITIONS

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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 29178 OPTIMAL RECOVERY//UNIFORMLY DISTRIBUTED GRIDS//THEORET MATH SCI COMPUTAT
2 34586 KOLMOGOROV NIKOLSKII PROBLEM//AIRFRAME GLOBAL SOLUT//AKHIEZER KREIN FAVARD INEQUALITY
3 27229 JACKSON TYPE ESTIMATES//COMONOTONE APPROXIMATION//WEIGHTED MODULI OF SMOOTHNESS
4 12596 HARDYS INEQUALITY//HARDY OPERATOR//HARDY TYPE INEQUALITIES
5 20139 QUASI GREEDY BASIS//THRESHOLDING GREEDY ALGORITHM//BEST M TERM APPROXIMATION
6 19798 GENERALIZED MODULUS OF CONTINUITY//K FUNCTIONAL//MODULI OF SMOOTHNESS
7 31668 FOURIER INVERSION FORMULA//HONG KRAHN SZEGO INEQUALITY//M HYPOELLIPTICITY
8 11953 GAMMA FUNCTION//PSI FUNCTION//COMPLETELY MONOTONIC FUNCTION
9 33469 RIEMANN ZETA AND RELATED FUNCTIONS//BESSEL AND GENERALIZED HYPERGEOMETRIC FUNCTIONS//KOSHLIAKOV
10 27465 POTENTIAL TYPE OPERATORS//APPROXIMATIVE INVERSE OPERATORS//METAHARMONIC SEMIGROUP

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