Class information for:
Level 1: EXPONENTIAL CONVEXITY//JENSENS INEQUALITY//SUPERQUADRATIC FUNCTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15723 696 12.2 33%


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
404 3       MATHEMATICS//ORTHOGONAL POLYNOMIALS//MATHEMATICS, APPLIED 29787
2523 2             GAMMA FUNCTION//HERMITE HADAMARD INEQUALITY//MATHEMATICAL INEQUALITIES & APPLICATIONS 3821
15723 1                   EXPONENTIAL CONVEXITY//JENSENS INEQUALITY//SUPERQUADRATIC FUNCTIONS 696

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 EXPONENTIAL CONVEXITY authKW 1277582 4% 94% 31
2 JENSENS INEQUALITY authKW 1055439 11% 30% 80
3 SUPERQUADRATIC FUNCTIONS authKW 923203 3% 96% 22
4 HOLDERS INEQUALITY authKW 612290 8% 24% 58
5 ACZELS INEQUALITY authKW 573250 2% 93% 14
6 CARLEMANS INEQUALITY authKW 546693 3% 69% 18
7 HARDYS INEQUALITY authKW 502465 6% 27% 42
8 CONVEX FUNCTION authKW 472924 16% 10% 110
9 TEXT TECHNOL address 467439 23% 7% 163
10 ABDUS SALAM MATH SCI address 414431 9% 16% 60

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 28871 87% 0% 603
2 Mathematics, Applied 20143 67% 0% 465
3 Statistics & Probability 16 2% 0% 12
4 Computer Science, Software Engineering 15 2% 0% 11
5 Computer Science, Interdisciplinary Applications 5 1% 0% 10
6 Multidisciplinary Sciences 0 0% 0% 2
7 GREEN & SUSTAINABLE SCIENCE & TECHNOLOGY -0 0% 0% 1
8 Mathematics, Interdisciplinary Applications -0 0% 0% 3
9 Engineering, General -1 0% 0% 2
10 Physics, Mathematical -1 0% 0% 3

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 TEXT TECHNOL 467439 23% 7% 163
2 ABDUS SALAM MATH SCI 414431 9% 16% 60
3 CIVIL TECHNOL ARCHITECTURE 131614 0% 100% 3
4 MIXED MISSING DATA STAT 131614 0% 100% 3
5 TEXT TECHNOL ZAGREB 116988 1% 67% 4
6 CONSTRUCT INFORMAT ENGN 102357 1% 33% 7
7 EDUC GUANGXI PROV 98709 0% 75% 3
8 METHODOL MATH 87743 0% 100% 2
9 BRAIN KOREA 21 PROJECT CORPS 58494 0% 67% 2
10 TEXTILE TECHNOL 51037 1% 15% 8

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 JOURNAL OF MATHEMATICAL INEQUALITIES 411884 10% 13% 72
2 MATHEMATICAL INEQUALITIES & APPLICATIONS 180341 11% 5% 76
3 JOURNAL OF INEQUALITIES AND APPLICATIONS 98277 12% 3% 86
4 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 26194 16% 1% 112
5 BANACH JOURNAL OF MATHEMATICAL ANALYSIS 7698 1% 2% 8
6 ANNALS OF FUNCTIONAL ANALYSIS 5731 1% 2% 6
7 BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 5257 3% 1% 20
8 AEQUATIONES MATHEMATICAE 4465 1% 1% 7
9 DYNAMIC SYSTEMS AND APPLICATIONS 4448 1% 1% 8
10 PERIODICA MATHEMATICA HUNGARICA 3365 1% 2% 5

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 EXPONENTIAL CONVEXITY 1277582 4% 94% 31 Search EXPONENTIAL+CONVEXITY Search EXPONENTIAL+CONVEXITY
2 JENSENS INEQUALITY 1055439 11% 30% 80 Search JENSENS+INEQUALITY Search JENSENS+INEQUALITY
3 SUPERQUADRATIC FUNCTIONS 923203 3% 96% 22 Search SUPERQUADRATIC+FUNCTIONS Search SUPERQUADRATIC+FUNCTIONS
4 HOLDERS INEQUALITY 612290 8% 24% 58 Search HOLDERS+INEQUALITY Search HOLDERS+INEQUALITY
5 ACZELS INEQUALITY 573250 2% 93% 14 Search ACZELS+INEQUALITY Search ACZELS+INEQUALITY
6 CARLEMANS INEQUALITY 546693 3% 69% 18 Search CARLEMANS+INEQUALITY Search CARLEMANS+INEQUALITY
7 HARDYS INEQUALITY 502465 6% 27% 42 Search HARDYS+INEQUALITY Search HARDYS+INEQUALITY
8 CONVEX FUNCTION 472924 16% 10% 110 Search CONVEX+FUNCTION Search CONVEX+FUNCTION
9 SUBQUADRATIC FUNCTION 394842 1% 100% 9 Search SUBQUADRATIC+FUNCTION Search SUBQUADRATIC+FUNCTION
10 JENSEN STEFFENSEN INEQUALITY 350971 1% 100% 8 Search JENSEN+STEFFENSEN+INEQUALITY Search JENSEN+STEFFENSEN+INEQUALITY

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, XY , (2012) SOME GENERALIZATIONS OF ACZEL, BELLMAN'S INEQUALITIES AND RELATED POWER SUMS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 16 100% 3
2 TIAN, JF , WANG, WL , (2014) REFINEMENTS OF ACZEL-TYPE INEQUALITY AND THEIR APPLICATIONS.JOURNAL OF APPLIED MATHEMATICS. VOL. . ISSUE . P. - 14 93% 0
3 JAKSETIC, J , NAEEM, R , PECARIC, J , (2016) EXPONENTIAL CONVEXITY FOR JENSEN'S INEQUALITY FOR NORMS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 12 100% 0
4 ABRAMOVICH, S , (2016) JENSEN, HOLDER, MINKOWSKI, JENSEN-STEFFENSEN AND SLATER-PECARIC INEQUALITIES DERIVED THROUGH N-QUASICONVEXITY.MATHEMATICAL INEQUALITIES & APPLICATIONS. VOL. 19. ISSUE 4. P. 1203 -1226 12 92% 0
5 CHEN, GS , HUANG, FL , LIAO, LF , (2014) GENERALIZATIONS OF HOLDER INEQUALITY AND SOME RELATED RESULTS ON TIME SCALES.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 14 82% 0
6 OGUNTUASE, JA , FABELURIN, OO , ADEAGBO-SHEIKH, AG , PERSSON, LE , (2015) TIME SCALE HARDY-TYPE INEQUALITIES WITH ?BROKEN? EXPONENT.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 12 92% 0
7 CHEN, GS , CHEN, Z , (2011) A FUNCTIONAL GENERALIZATION OF THE REVERSE HOLDER INTEGRAL INEQUALITY ON TIME SCALES.MATHEMATICAL AND COMPUTER MODELLING. VOL. 54. ISSUE 11-12. P. 2939-2942 12 100% 0
8 TIAN, JF , WANG, WL , (2014) GENERALIZATIONS OF REFINED HOLDER'S INEQUALITIES AND THEIR APPLICATIONS.MATHEMATICAL PROBLEMS IN ENGINEERING. VOL. . ISSUE . P. - 12 92% 0
9 KHAN, MA , ALI, T , KILICMAN, A , DIN, Q , (2016) REFINEMENTS OF JENSEN'S INEQUALITY FOR CONVEX FUNCTIONS ON THE CO-ORDINATES IN A RECTANGLE FROM THE PLANE.FILOMAT. VOL. 30. ISSUE 3. P. 803 -814 13 81% 0
10 TIAN, JF , (2013) A SHARPENED AND GENERALIZED VERSION OF ACZEL-VASIC-PECARIC INEQUALITY AND ITS APPLICATION.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 10 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 11293 HERMITE HADAMARD INEQUALITY//OSTROWSKI INEQUALITY//OSTROWSKI TYPE INEQUALITY
2 27376 EQUIVALENT FORM//HILBERTS INEQUALITY//HILBERT TYPE INEQUALITY
3 11098 SEIFFERT MEAN//LOGARITHMIC MEAN//POWER MEAN
4 5831 UNITARILY INVARIANT NORM//OPERATOR MONOTONE FUNCTION//OPERATOR INEQUALITY
5 26148 ORTHOGONALITY PRESERVING MAPPINGS//DUNKL WILLIAMS INEQUALITY//APPROXIMATE ORTHOGONALITY
6 23320 LYAPUNOV TYPE INEQUALITY//LYAPUNOV INEQUALITY//OPIALS INEQUALITY
7 26153 G MAJORIZATION//GROUP MAJORIZATION//STRONG LINEAR PRESERVER
8 6458 LORENTZ SPACES//REARRANGEMENT INVARIANT SPACES//REAL INTERPOLATION
9 21985 INTEGRAL INEQUALITY//TWO INDEPENDENT VARIABLES//RETARDED INTEGRAL INEQUALITY
10 12598 GAMMA FUNCTION//PSI FUNCTION//COMPLETELY MONOTONIC FUNCTION

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