Class information for:
Level 1: GENERALIZED ZYGMUND CLASSES//ACTA SCIENTIARUM MATHEMATICARUM//EXPANSIONS OF FUNCTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
37574 54 9.8 19%


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
609 3       FIXED POINT//HYERS ULAM STABILITY//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES 14179
3156 2             STATISTICAL CONVERGENCE//ABSOLUTE SUMMABILITY//DOUBLE SEQUENCES 2206
37574 1                   GENERALIZED ZYGMUND CLASSES//ACTA SCIENTIARUM MATHEMATICARUM//EXPANSIONS OF FUNCTIONS 54

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 GENERALIZED ZYGMUND CLASSES authKW 565476 2% 100% 1
2 ACTA SCIENTIARUM MATHEMATICARUM journal 376958 26% 5% 14
3 EXPANSIONS OF FUNCTIONS authKW 282737 2% 50% 1
4 GENERALIZED LIPSCHITZ CLASSES authKW 188491 2% 33% 1
5 LINEAR SUMMABILITY METHODS authKW 188491 2% 33% 1
6 ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE journal 121888 11% 4% 6
7 SUMMABILITY METHODS authKW 43496 2% 8% 1
8 BIORTHOGONAL SYSTEMS authKW 29760 2% 5% 1
9 MAJORANT authKW 28272 2% 5% 1
10 ACTA MATHEMATICA HUNGARICA journal 27588 22% 0% 12

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 1626 74% 0% 40
2 Mathematics, Applied 253 28% 0% 15
3 Physics, Mathematical 6 4% 0% 2

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 BOLYAI 871 2% 0% 1
2 MATH 7 6% 0% 3

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 ACTA SCIENTIARUM MATHEMATICARUM 376958 26% 5% 14
2 ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE 121888 11% 4% 6
3 ACTA MATHEMATICA HUNGARICA 27588 22% 0% 12
4 ANALYSIS MATHEMATICA 3952 2% 1% 1
5 STUDIA MATHEMATICA 3092 7% 0% 4
6 DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI 2077 4% 0% 2
7 JOURNAL OF APPROXIMATION THEORY 1487 6% 0% 3
8 STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA 944 2% 0% 1
9 CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 656 2% 0% 1
10 TOHOKU MATHEMATICAL JOURNAL 458 2% 0% 1

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 GENERALIZED ZYGMUND CLASSES 565476 2% 100% 1 Search GENERALIZED+ZYGMUND+CLASSES Search GENERALIZED+ZYGMUND+CLASSES
2 EXPANSIONS OF FUNCTIONS 282737 2% 50% 1 Search EXPANSIONS+OF+FUNCTIONS Search EXPANSIONS+OF+FUNCTIONS
3 GENERALIZED LIPSCHITZ CLASSES 188491 2% 33% 1 Search GENERALIZED+LIPSCHITZ+CLASSES Search GENERALIZED+LIPSCHITZ+CLASSES
4 LINEAR SUMMABILITY METHODS 188491 2% 33% 1 Search LINEAR+SUMMABILITY+METHODS Search LINEAR+SUMMABILITY+METHODS
5 SUMMABILITY METHODS 43496 2% 8% 1 Search SUMMABILITY+METHODS Search SUMMABILITY+METHODS
6 BIORTHOGONAL SYSTEMS 29760 2% 5% 1 Search BIORTHOGONAL+SYSTEMS Search BIORTHOGONAL+SYSTEMS
7 MAJORANT 28272 2% 5% 1 Search MAJORANT Search MAJORANT
8 STRONG APPROXIMATION 11536 4% 1% 2 Search STRONG+APPROXIMATION Search STRONG+APPROXIMATION
9 ORTHOGONAL SERIES 10096 2% 2% 1 Search ORTHOGONAL+SERIES Search ORTHOGONAL+SERIES
10 EMBEDDING THEOREMS 6651 2% 1% 1 Search EMBEDDING+THEOREMS Search EMBEDDING+THEOREMS

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 LEINDLER, L , (2004) A SURVEY OF CERTAIN RESULTS ON STRONG APPROXIMATION BY ORTHOGONAL SERIES.CENTRAL EUROPEAN JOURNAL OF MATHEMATICS. VOL. 2. ISSUE 3. P. 448-477 8 100% 1
2 BRIVE, B , FINET, C , TKEBUCHAVA, GE , (2012) A GENERALIZATION OF THE RIESZ-FISCHER THEOREM AND LINEAR SUMMABILITY METHODS.JOURNAL OF APPROXIMATION THEORY. VOL. 164. ISSUE 6. P. 841-853 5 71% 0
3 ANDRIENKO, VP , (1989) THE RATE OF CONVERGENCE AND CESARO SUMMABILITY OF MULTIPLE ORTHOGONAL SERIES.DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI. VOL. . ISSUE 1. P. 7-10 6 100% 0
4 YU, DS , (2010) EMBEDDING THEOREMS IN STRONG APPROXIMATION OF FOURIER SERIES.STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA. VOL. 47. ISSUE 3. P. 350 -372 2 100% 0
5 LEINDLER, L , (1995) GENERAL RESULTS ON STRONG APPROXIMATION BY CESARO MEANS OF NEGATIVE ORDER.ACTA MATHEMATICA HUNGARICA. VOL. 66. ISSUE 1-2. P. 61-82 3 100% 1
6 MORICZ, F , (1986) ORTHONORMAL SYSTEMS OF POLYNOMIALS IN THE DIVERGENCE THEOREMS FOR DOUBLE ORTHOGONAL SERIES.ACTA SCIENTIARUM MATHEMATICARUM. VOL. 50. ISSUE 3-4. P. 367-380 5 83% 0
7 TANDORI, K , (1990) MEANS OF ORTHOGONAL FUNCTIONS .5..ACTA MATHEMATICA HUNGARICA. VOL. 55. ISSUE 3-4. P. 337-352 3 100% 0
8 TANDORI, K , (1989) ORTHOGONAL-FUNCTION MEANS .3..ACTA MATHEMATICA HUNGARICA. VOL. 53. ISSUE 1-2. P. 23-42 3 100% 0
9 MORICZ, F , (1983) LEBESGUE FUNCTIONS AND MULTIPLE FUNCTION SERIES .3..ACTA MATHEMATICA HUNGARICA. VOL. 42. ISSUE 3-4. P. 205-212 4 100% 0
10 MORICZ, F , (1985) ON THE RESTRICTED CONVERGENCE AND (C, 1, 1)-SUMMABILITY OF DOUBLE ORTHOGONAL SERIES.ACTA SCIENTIARUM MATHEMATICARUM. VOL. 49. ISSUE 1-4. P. 221-233 3 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 23532 ABSOLUTE SUMMABILITY//SUMMABILITY FACTORS//ALMOST INCREASING SEQUENCES
2 33160 COMPACT CONVERGENCE TOPOLOGY//PHI ALGEBRA//LOCALLY M CONVEX ALGEBRA
3 24647 MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS
4 24288 ASYMPTOTIC BEHAVIOR OF GENERALIZED FUNCTIONS//QUASIASYMPTOTICS//DISTRIBUTIONAL POINT VALUES
5 18645 MEAN VALUE BOUNDED VARIATION//EMBEDDING RELATIONS//HOLDER METRIC
6 5012 COMPLETE CONVERGENCE//WEIGHTED SUMS//COMPLETE MOMENT CONVERGENCE
7 17835 MARTINGALE HARDY SPACE//NUMER ANAL//WALSH KACZMARZ SYSTEM
8 15701 U STATISTICS//BOUNDS FOR TAIL PROBABILITIES//HOEFFDINGS INEQUALITIES
9 4090 MONTHLY WEATHER REVIEW//CUBED SPHERE//SEMI LAGRANGIAN

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