Class information for:
Level 1: MEAN VALUE BOUNDED VARIATION//EMBEDDING RELATIONS//HOLDER METRIC

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
18645 542 13.2 23%


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
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
842 2             MATHEMATICS//MAXIMAL OPERATOR//BMO 11754
18645 1                   MEAN VALUE BOUNDED VARIATION//EMBEDDING RELATIONS//HOLDER METRIC 542

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 MEAN VALUE BOUNDED VARIATION authKW 676046 2% 100% 12
2 EMBEDDING RELATIONS authKW 563372 2% 100% 10
3 HOLDER METRIC authKW 450697 1% 100% 8
4 TRIGONOMETRIC SERIES authKW 395147 4% 32% 22
5 XIASHA ECON DEV AREA address 394346 3% 50% 14
6 L 1 CONVERGENCE authKW 340830 2% 55% 11
7 CONJUGATE FOURIER SERIES authKW 327775 1% 73% 8
8 STRONG SUMMABILITY authKW 217290 2% 43% 9
9 SINE SERIES authKW 202809 1% 60% 6
10 DEGREE OF APPROXIMATION authKW 196130 4% 16% 22

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 25868 93% 0% 503
2 Mathematics, Applied 3163 31% 0% 167
3 Statistics & Probability 31 2% 0% 13
4 Multidisciplinary Sciences 28 1% 0% 8
5 Physics, Mathematical 1 1% 0% 6
6 Mechanics -0 1% 0% 5
7 Computer Science, Theory & Methods -1 0% 0% 2
8 Telecommunications -2 0% 0% 1
9 Physics, Nuclear -3 0% 0% 1
10 Physics, Particles & Fields -4 0% 0% 1

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 XIASHA ECON DEV AREA 394346 3% 50% 14
2 BOLYAI 168234 8% 7% 44
3 CHAIR MATH MECHAN 56337 0% 100% 1
4 L 1627 AWADH PURI COLONY BENIGANJ 56337 0% 100% 1
5 MATH COMP SCI ECONOMETR 47297 3% 5% 17
6 KAZAKH BRANCH 45067 0% 40% 2
7 CHAIR THEORY FUNCT FUNCT ANAL 28168 0% 50% 1
8 KAZAKHSTAN BRANCH 25347 1% 15% 3
9 M MOUMR 6628 18778 0% 33% 1
10 PL MATH HUMANITIES 14531 1% 6% 4

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 ANALYSIS MATHEMATICA 142189 4% 13% 19
2 ACTA MATHEMATICA HUNGARICA 43921 9% 2% 48
3 MATHEMATICAL INEQUALITIES & APPLICATIONS 25030 5% 2% 25
4 MATHEMATICAL NOTES 14625 7% 1% 36
5 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS 7785 2% 1% 13
6 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 7778 10% 0% 54
7 STUDIA MATHEMATICA 6930 4% 1% 19
8 JOURNAL OF APPROXIMATION THEORY 5320 3% 1% 18
9 ACTA SCIENTIARUM MATHEMATICARUM 4781 1% 2% 5
10 PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES 3989 2% 1% 9

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 MEAN VALUE BOUNDED VARIATION 676046 2% 100% 12 Search MEAN+VALUE+BOUNDED+VARIATION Search MEAN+VALUE+BOUNDED+VARIATION
2 EMBEDDING RELATIONS 563372 2% 100% 10 Search EMBEDDING+RELATIONS Search EMBEDDING+RELATIONS
3 HOLDER METRIC 450697 1% 100% 8 Search HOLDER+METRIC Search HOLDER+METRIC
4 TRIGONOMETRIC SERIES 395147 4% 32% 22 Search TRIGONOMETRIC+SERIES Search TRIGONOMETRIC+SERIES
5 L 1 CONVERGENCE 340830 2% 55% 11 Search L+1+CONVERGENCE Search L+1+CONVERGENCE
6 CONJUGATE FOURIER SERIES 327775 1% 73% 8 Search CONJUGATE+FOURIER+SERIES Search CONJUGATE+FOURIER+SERIES
7 STRONG SUMMABILITY 217290 2% 43% 9 Search STRONG+SUMMABILITY Search STRONG+SUMMABILITY
8 SINE SERIES 202809 1% 60% 6 Search SINE+SERIES Search SINE+SERIES
9 DEGREE OF APPROXIMATION 196130 4% 16% 22 Search DEGREE+OF+APPROXIMATION Search DEGREE+OF+APPROXIMATION
10 WEIGHTED INTEGRABILITY 180277 1% 80% 4 Search WEIGHTED+INTEGRABILITY Search WEIGHTED+INTEGRABILITY

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 ZHOU, SP , (2016) MEAN VALUE BOUNDED VARIATION CONCEPT IN REAL SENSE: AN APPLICATION WITH NEW TECHNIQUES TO WEIGHTED INTEGRABILITY.MATHEMATICAL INEQUALITIES & APPLICATIONS. VOL. 19. ISSUE 3. P. 909 -922 14 100% 0
2 TIKHONOV, S , (2008) ON L-1-CONVERGENCE OF FOURIER SERIES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 347. ISSUE 2. P. 416 -427 15 88% 9
3 TIKHONOV, S , (2007) TRIGONOMETRIC SERIES WITH GENERAL MONOTONE COEFFICIENTS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 326. ISSUE 1. P. 721-735 12 100% 40
4 GOGINAVA, U , NAGY, K , (2016) STRONG APPROXIMATION BY MARCINKIEWICZ MEANS OF TWO-DIMENSIONAL WALSH-KACZMARZ-FOURIER SERIES.ANALYSIS MATHEMATICA. VOL. 42. ISSUE 2. P. 143 -157 12 75% 0
5 FENG, L , TOTIK, V , ZHOU, SP , (2014) TRIGONOMETRIC SERIES WITH A GENERALIZED MONOTONICITY CONDITION.ACTA MATHEMATICA SINICA-ENGLISH SERIES. VOL. 30. ISSUE 8. P. 1289 -1296 9 100% 2
6 YU, DS , ZHOU, P , ZHOU, SP , (2012) MEAN BOUNDED VARIATION CONDITION AND APPLICATIONS IN DOUBLE TRIGONOMETRIC SERIES.ANALYSIS MATHEMATICA. VOL. 38. ISSUE 2. P. 83-104 9 100% 0
7 ZHOU, SP , ZHOU, P , YU, DS , (2010) ULTIMATE GENERALIZATION TO MONOTONICITY FOR UNIFORM CONVERGENCE OF TRIGONOMETRIC SERIES.SCIENCE CHINA-MATHEMATICS. VOL. 53. ISSUE 7. P. 1853 -1862 9 100% 15
8 SZAL, B , (2011) ON L-CONVERGENCE OF TRIGONOMETRIC SERIES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 373. ISSUE 2. P. 449-463 9 100% 1
9 VOLOSIVETS, S , GOLUBOV, B , (2015) UNIFORM CONVERGENCE AND INTEGRABILITY OF MULTIPLICATIVE FOURIER TRANSFORMS.MATHEMATICAL NOTES. VOL. 98. ISSUE 1-2. P. 53 -67 9 90% 0
10 TIKHONOV, S , (2008) BEST APPROXIMATION AND MODULI OF SMOOTHNESS: COMPUTATION AND EQUIVALENCE THEOREMS.JOURNAL OF APPROXIMATION THEORY. VOL. 153. ISSUE 1. P. 19 -39 9 100% 13

Classes with closest relation at Level 1


Rank Class id link
1 17835 MARTINGALE HARDY SPACE//NUMER ANAL//WALSH KACZMARZ SYSTEM
2 37574 GENERALIZED ZYGMUND CLASSES//ACTA SCIENTIARUM MATHEMATICARUM//EXPANSIONS OF FUNCTIONS
3 24647 MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS
4 22203 JACOBI EXPANSION//RIESZ TRANSFORM//FOURIER BESSEL EXPANSIONS
5 36324 NATURAL SPECTRUM//F M RIESZ THEOREM//SPECTRUM OF MEASURE
6 31934 RAPIDLY VARYING SEQUENCE//RAPIDLY VARYING FUNCTION//REGULARLY VARYING SEQUENCE
7 23532 ABSOLUTE SUMMABILITY//SUMMABILITY FACTORS//ALMOST INCREASING SEQUENCES
8 36311 CONVERGENCE WITH RATES//DIRICHLET PROBLEM CONTINUOUS AND DISCRETE//FIRST AND SECOND MODULI OF CONTINUITY
9 33484 EIKONAL TRANSFORMATION//HIGH OSCILLATIONS//FINITE HANKEL TRANSFORM
10 24288 ASYMPTOTIC BEHAVIOR OF GENERALIZED FUNCTIONS//QUASIASYMPTOTICS//DISTRIBUTIONAL POINT VALUES

Go to start page