Class information for:
Level 1: GENERALIZED MODULUS OF CONTINUITY//K FUNCTIONAL//MODULI OF SMOOTHNESS

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
434 3       JOURNAL OF APPROXIMATION THEORY//MATHEMATICS//ORTHOGONAL POLYNOMIALS 28449
1285 2             JOURNAL OF APPROXIMATION THEORY//ORTHOGONAL POLYNOMIALS//MODULUS OF CONTINUITY 9020
19798 1                   GENERALIZED MODULUS OF CONTINUITY//K FUNCTIONAL//MODULI OF SMOOTHNESS 512

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 GENERALIZED MODULUS OF CONTINUITY authKW 984883 3% 100% 16
2 K FUNCTIONAL authKW 689088 9% 24% 46
3 MODULI OF SMOOTHNESS authKW 594414 5% 37% 26
4 MODULUS OF SMOOTHNESS authKW 477193 7% 22% 35
5 DINI SMOOTH CURVE authKW 377024 1% 88% 7
6 DIRECT THEOREM authKW 374304 3% 41% 15
7 JACKSON STECHKIN INEQUALITY authKW 369331 1% 100% 6
8 BEST APPROXIMATION authKW 325319 8% 13% 41
9 CAUCHY SINGULAR OPERATOR authKW 307776 1% 100% 5
10 SMIRNOV ORLICZ CLASS authKW 307776 1% 100% 5

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 17990 80% 0% 410
2 Mathematics, Applied 3933 35% 0% 180
3 Multidisciplinary Sciences 144 3% 0% 16
4 METALLURGY & MINING 54 0% 0% 2
5 Physics, Mathematical 45 3% 0% 17
6 Statistics & Probability 6 1% 0% 7
7 Computer Science, Theory & Methods 5 2% 0% 8
8 Mechanics 3 2% 0% 10
9 Mathematics, Interdisciplinary Applications 2 1% 0% 5
10 Computer Science, Software Engineering 2 1% 0% 5

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SEVASTOPOL BRANCH 92330 1% 50% 3
2 AG FUNKT ANAL 61555 0% 100% 1
3 BLACK SEA 61555 0% 100% 1
4 GEOTECHNOL MECH 61555 0% 100% 1
5 LEHRSTUHL THEORET INFORMAT TECHN 61555 0% 100% 1
6 UPMINSPEM 61555 0% 100% 1
7 SUB MATH ANAL THEORY FUNCT 30777 0% 50% 1
8 MATH STAT SCI 27232 7% 1% 35
9 AG ALGEBRA 20517 0% 33% 1
10 LEHRSTUHL THEORET INFORMAT TECH 16685 1% 7% 4

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATHEMATICAL NOTES 62427 14% 1% 72
2 JOURNAL OF APPROXIMATION THEORY 55956 11% 2% 56
3 ANALYSIS MATHEMATICA 13258 1% 4% 6
4 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 10083 2% 1% 12
5 ACTA MATHEMATICA HUNGARICA 9013 4% 1% 21
6 CONSTRUCTIVE APPROXIMATION 8658 2% 1% 12
7 ACTA SCIENTIARUM MATHEMATICARUM 7500 1% 2% 6
8 UKRAINIAN MATHEMATICAL JOURNAL 7188 2% 1% 11
9 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 6652 2% 1% 11
10 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 6211 3% 1% 14

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 GENERALIZED MODULUS OF CONTINUITY 984883 3% 100% 16 Search GENERALIZED+MODULUS+OF+CONTINUITY Search GENERALIZED+MODULUS+OF+CONTINUITY
2 K FUNCTIONAL 689088 9% 24% 46 Search K+FUNCTIONAL Search K+FUNCTIONAL
3 MODULI OF SMOOTHNESS 594414 5% 37% 26 Search MODULI+OF+SMOOTHNESS Search MODULI+OF+SMOOTHNESS
4 MODULUS OF SMOOTHNESS 477193 7% 22% 35 Search MODULUS+OF+SMOOTHNESS Search MODULUS+OF+SMOOTHNESS
5 DINI SMOOTH CURVE 377024 1% 88% 7 Search DINI+SMOOTH+CURVE Search DINI+SMOOTH+CURVE
6 DIRECT THEOREM 374304 3% 41% 15 Search DIRECT+THEOREM Search DIRECT+THEOREM
7 JACKSON STECHKIN INEQUALITY 369331 1% 100% 6 Search JACKSON+STECHKIN+INEQUALITY Search JACKSON+STECHKIN+INEQUALITY
8 BEST APPROXIMATION 325319 8% 13% 41 Search BEST+APPROXIMATION Search BEST+APPROXIMATION
9 CAUCHY SINGULAR OPERATOR 307776 1% 100% 5 Search CAUCHY+SINGULAR+OPERATOR Search CAUCHY+SINGULAR+OPERATOR
10 SMIRNOV ORLICZ CLASS 307776 1% 100% 5 Search SMIRNOV+ORLICZ+CLASS Search SMIRNOV+ORLICZ+CLASS

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 27229 JACKSON TYPE ESTIMATES//COMONOTONE APPROXIMATION//WEIGHTED MODULI OF SMOOTHNESS
2 14824 FEJER MEANS//MARTINGALE HARDY SPACE//WALSH KACZMARZ SYSTEM
3 34586 KOLMOGOROV NIKOLSKII PROBLEM//AIRFRAME GLOBAL SOLUT//AKHIEZER KREIN FAVARD INEQUALITY
4 27465 POTENTIAL TYPE OPERATORS//APPROXIMATIVE INVERSE OPERATORS//METAHARMONIC SEMIGROUP
5 38666 DOUBLE ORTHOGONAL SERIES//GENERALIZED ZYGMUND CLASSES//KRONECKER LEMMA FOR DOUBLE SEQUENCES
6 29605 POSITIVE TRIGONOMETRIC SUMS//FEJER JACKSON INEQUALITY//RELATIVE WIDTH
7 22573 FREDHOLMNESS//PIECEWISE SLOWLY OSCILLATING FUNCTION//KERZMAN STEIN OPERATOR
8 6646 Q INTEGERS//MODULUS OF CONTINUITY//POSITIVE LINEAR OPERATORS
9 14049 HERMITE FEJER INTERPOLATION//FREUD WEIGHTS//ERDOS WEIGHTS
10 9548 DUNKL TRANSFORM//DUNKL OPERATORS//UNCERTAINTY PRINCIPLE

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