Class information for:
Level 1: HENSTOCK KURZWEIL INTEGRAL//MCSHANE INTEGRAL//KURZWEIL HENSTOCK INTEGRAL

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
17204 611 15.9 22%


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
249 3       MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH 46542
3377 2             LINEABILITY//SPACEABILITY//ALGEBRABILITY 1662
17204 1                   HENSTOCK KURZWEIL INTEGRAL//MCSHANE INTEGRAL//KURZWEIL HENSTOCK INTEGRAL 611

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 HENSTOCK KURZWEIL INTEGRAL authKW 1279342 5% 80% 32
2 MCSHANE INTEGRAL authKW 1051642 4% 96% 22
3 KURZWEIL HENSTOCK INTEGRAL authKW 908629 3% 91% 20
4 PETTIS INTEGRAL authKW 702739 5% 47% 30
5 VARIATIONAL MEASURE authKW 699647 2% 100% 14
6 HENSTOCK INTEGRAL authKW 673340 3% 84% 16
7 BIRKHOFF INTEGRAL authKW 649672 2% 100% 13
8 HENSTOCK KURZWEIL PETTIS INTEGRAL authKW 549723 2% 100% 11
9 MATH METHODS INFORMAT TECHNOL address 306094 1% 88% 7
10 KURZWEIL HENSTOCK PETTIS INTEGRAL authKW 299849 1% 100% 6

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 29578 93% 0% 571
2 Mathematics, Applied 4482 34% 0% 210
3 Statistics & Probability 44 3% 0% 16
4 Mechanics 1 1% 0% 9
5 Automation & Control Systems 0 0% 0% 3
6 Physics, Mathematical 0 1% 0% 5
7 Multidisciplinary Sciences -0 0% 0% 1
8 Computer Science, Theory & Methods -0 0% 0% 3
9 Computer Science, Interdisciplinary Applications -1 0% 0% 2
10 Operations Research & Management Science -1 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 MATH METHODS INFORMAT TECHNOL 306094 1% 88% 7
2 EQUIPE ANALYSE HARMON 24986 0% 50% 1
3 FOUNDER RD 24986 0% 50% 1
4 MATHUMR 6205 24986 0% 50% 1
5 MISSILE GUIDANCE 24986 0% 50% 1
6 RECH VIABILITE JEUX CONTROLE 24986 0% 50% 1
7 ERS 644 CNRS 16657 0% 33% 1
8 MATEMAT USTAV 16651 1% 8% 4
9 MATH MATH EDUC GRP 12490 0% 13% 2
10 CIENCIAS MATEMAT COMP 11767 2% 2% 10

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 CZECHOSLOVAK MATHEMATICAL JOURNAL 82898 10% 3% 61
2 MATHEMATICA SLOVACA 18896 3% 2% 17
3 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 8233 10% 0% 59
4 MATHEMATICAL NOTES 6748 4% 1% 26
5 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS 5880 2% 1% 12
6 AMERICAN MATHEMATICAL MONTHLY 5321 3% 1% 17
7 BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 4852 3% 1% 18
8 MEDITERRANEAN JOURNAL OF MATHEMATICS 4450 1% 1% 9
9 QUAESTIONES MATHEMATICAE 4182 1% 1% 6
10 ACTA MATHEMATICA HUNGARICA 3783 2% 1% 15

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 HENSTOCK KURZWEIL INTEGRAL 1279342 5% 80% 32 Search HENSTOCK+KURZWEIL+INTEGRAL Search HENSTOCK+KURZWEIL+INTEGRAL
2 MCSHANE INTEGRAL 1051642 4% 96% 22 Search MCSHANE+INTEGRAL Search MCSHANE+INTEGRAL
3 KURZWEIL HENSTOCK INTEGRAL 908629 3% 91% 20 Search KURZWEIL+HENSTOCK+INTEGRAL Search KURZWEIL+HENSTOCK+INTEGRAL
4 PETTIS INTEGRAL 702739 5% 47% 30 Search PETTIS+INTEGRAL Search PETTIS+INTEGRAL
5 VARIATIONAL MEASURE 699647 2% 100% 14 Search VARIATIONAL+MEASURE Search VARIATIONAL+MEASURE
6 HENSTOCK INTEGRAL 673340 3% 84% 16 Search HENSTOCK+INTEGRAL Search HENSTOCK+INTEGRAL
7 BIRKHOFF INTEGRAL 649672 2% 100% 13 Search BIRKHOFF+INTEGRAL Search BIRKHOFF+INTEGRAL
8 HENSTOCK KURZWEIL PETTIS INTEGRAL 549723 2% 100% 11 Search HENSTOCK+KURZWEIL+PETTIS+INTEGRAL Search HENSTOCK+KURZWEIL+PETTIS+INTEGRAL
9 KURZWEIL HENSTOCK PETTIS INTEGRAL 299849 1% 100% 6 Search KURZWEIL+HENSTOCK+PETTIS+INTEGRAL Search KURZWEIL+HENSTOCK+PETTIS+INTEGRAL
10 MULTIPLE WALSH SERIES 299849 1% 100% 6 Search MULTIPLE+WALSH+SERIES Search MULTIPLE+WALSH+SERIES

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 CANDELORO, D , DI PIAZZA, L , MUSIAL, K , SAMBUCINI, AR , (2016) GAUGE INTEGRALS AND SELECTIONS OF WEAKLY COMPACT VALUED MULTIFUNCTIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 441. ISSUE 1. P. 293 -308 29 91% 0
2 CANDELORO, D , CROITORU, A , GAVRILUT, A , SAMBUCINI, AR , (2016) AN EXTENSION OF THE BIRKHOFF INTEGRABILITY FOR MULTIFUNCTIONS.MEDITERRANEAN JOURNAL OF MATHEMATICS. VOL. 13. ISSUE 5. P. 2551 -2575 18 86% 0
3 TULONE, F , ZHEREBYOV, Y , (2011) ABSOLUTELY CONTINUOUS VARIATIONAL MEASURES OF MAWHIN'S TYPE.MATHEMATICA SLOVACA. VOL. 61. ISSUE 5. P. 747-768 14 100% 1
4 TUO-YEONG, L , (2003) A FULL DESCRIPTIVE DEFINITION OF THE HENSTOCK-KURZWEIL INTEGRAL IN THE EUCLIDEAN SPACE.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 87. ISSUE . P. 677-700 16 100% 0
5 DI PIAZZA, L , MUSIAL, K , (2013) HENSTOCK-KURZWEIL-PETTIS INTEGRABILITY OF COMPACT VALUED MULTIFUNCTIONS WITH VALUES IN AN ARBITRARY BANACH SPACE.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 408. ISSUE 2. P. 452 -464 12 100% 2
6 MONTEIRO, GA , SATCO, B , (2017) DISTRIBUTIONAL, DIFFERENTIAL AND INTEGRAL PROBLEMS: EQUIVALENCE AND EXISTENCE RESULTS.ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE 7. P. 1 -26 13 81% 0
7 BOCCUTO, A , CANDELORO, D , SAMBUCINI, AR , (2015) HENSTOCK MULTIVALUED INTEGRABILITY IN BANACH LATTICES WITH RESPECT TO POINTWISE NON ATOMIC MEASURES.RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI. VOL. 26. ISSUE 4. P. 363 -383 15 71% 0
8 AGARWAL, RP , O'REGAN, D , SIKORSKA-NOWAK, A , (2008) THE SET OF SOLUTIONS OF INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES.BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 78. ISSUE 3. P. 507 -522 12 100% 4
9 DEVILLE, R , RODRIGUEZ, J , (2010) INTEGRATION IN HILBERT GENERATED BANACH SPACES.ISRAEL JOURNAL OF MATHEMATICS. VOL. 177. ISSUE 1. P. 285 -306 14 78% 5
10 MALY, J , (2014) NON-ABSOLUTELY CONVERGENT INTEGRALS WITH RESPECT TO DISTRIBUTIONS.ANNALI DI MATEMATICA PURA ED APPLICATA. VOL. 193. ISSUE 5. P. 1457 -1484 11 85% 0

Classes with closest relation at Level 1


Rank Class id link
1 33949 DENSITY TOPOLOGY//COMPARISON OF TOPOLOGIES//FIRST RETURN INTEGRALS
2 22267 DISCONTINUOUS SELECTIONS//IMPLICIT ELLIPTIC EQUATIONS//DISCONTINUOUS DIFFERENTIAL EQUATIONS
3 15367 STRICT TOPOLOGIES//WEAKLY COMPACT OPERATORS//MACKEY TOPOLOGIES
4 24581 MINIMAL DISPLACEMENT//MORSE SARD THEOREM//C 1 SMOOTH FUNCTION
5 18863 MEASURE OF NONCOMPACTNESS//QUADRATIC INTEGRAL EQUATION//FUNCTIONAL INTEGRAL EQUATION
6 22037 VECTOR MEASURE//BANACH FUNCTION SPACE//MATH GEOGR FAK
7 34242 FINITELY ADDITIVE INTEGRATION//SEPARABLE PROBABILITY MEASURE//SKOROHOD REPRESENTATION THEOREM
8 25111 METRIC SEMIGROUP//NEMYTSKII SUPERPOSITION OPERATOR//GENERALIZED BOUNDED VARIATION
9 9809 MONOTONE ITERATIVE TECHNIQUE//IMPULSIVE DIFFERENTIAL EQUATIONS//PERIODIC BOUNDARY VALUE PROBLEM
10 32309 PICARD OPERATOR//STEP METHOD//FIBRE CONTRACTION PRINCIPLE

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