Class information for:
Level 1: HERMITE HADAMARD INEQUALITY//OSTROWSKI INEQUALITY//OSTROWSKI TYPE INEQUALITY

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
11293 993 14.8 37%



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
11293 1                   HERMITE HADAMARD INEQUALITY//OSTROWSKI INEQUALITY//OSTROWSKI TYPE INEQUALITY 993

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 HERMITE HADAMARD INEQUALITY authKW 3074848 13% 77% 130
2 OSTROWSKI INEQUALITY authKW 1733925 7% 83% 68
3 OSTROWSKI TYPE INEQUALITY authKW 1281588 5% 89% 47
4 OSTROWSKIS INEQUALITY authKW 1082962 4% 93% 38
5 SPECIAL MEANS authKW 864814 3% 94% 30
6 HERMITE HADAMARD TYPE INEQUALITY authKW 803572 3% 93% 28
7 CONVEX FUNCTION authKW 727861 16% 15% 163
8 HERMITE HADAMARDS INEQUALITY authKW 651535 3% 76% 28
9 GRUSS INEQUALITY authKW 564190 3% 54% 34
10 S CONVEX FUNCTION authKW 528588 2% 90% 19

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, Applied 30407 69% 0% 682
2 Mathematics 25996 69% 0% 687
3 Computer Science, Theory & Methods 218 5% 0% 47
4 Computer Science, Software Engineering 69 2% 0% 24
5 Computer Science, Interdisciplinary Applications 37 2% 0% 23
6 Statistics & Probability 26 2% 0% 18
7 Physics, Mathematical 0 1% 0% 8
8 Computer Science, Cybernetics 0 0% 0% 1
9 Operations Research & Management Science -1 0% 0% 3
10 Multidisciplinary Sciences -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 KK EDUC 206422 4% 19% 36
2 GRP MATH INEQUAL PLICAT 103767 1% 38% 9
3 UMR CNRS 4152 100628 1% 55% 6
4 FESB 91585 2% 18% 17
5 UMR 4152 81995 0% 67% 4
6 COMMUN INFORMAT 71893 4% 6% 38
7 MINIST PUBL EDUC 68477 1% 32% 7
8 TEXT TECHNOL 67425 7% 3% 74
9 COMPUTAT PL MATH 41198 4% 3% 44
10 FOOD TECHNOL BIOTECHNOL 37174 4% 3% 36

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 MATHEMATICAL INEQUALITIES & APPLICATIONS 181192 9% 6% 91
2 JOURNAL OF MATHEMATICAL INEQUALITIES 144796 5% 9% 51
3 JOURNAL OF INEQUALITIES AND APPLICATIONS 73724 9% 3% 89
4 JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS 45588 5% 3% 47
5 AEQUATIONES MATHEMATICAE 33844 2% 5% 23
6 FILOMAT 26724 3% 3% 33
7 JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS 15852 2% 3% 20
8 COMPUTERS & MATHEMATICS WITH APPLICATIONS 14363 7% 1% 67
9 MISKOLC MATHEMATICAL NOTES 10621 1% 3% 12
10 APPLIED MATHEMATICS AND COMPUTATION 7580 7% 0% 66

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 HERMITE HADAMARD INEQUALITY 3074848 13% 77% 130 Search HERMITE+HADAMARD+INEQUALITY Search HERMITE+HADAMARD+INEQUALITY
2 OSTROWSKI INEQUALITY 1733925 7% 83% 68 Search OSTROWSKI+INEQUALITY Search OSTROWSKI+INEQUALITY
3 OSTROWSKI TYPE INEQUALITY 1281588 5% 89% 47 Search OSTROWSKI+TYPE+INEQUALITY Search OSTROWSKI+TYPE+INEQUALITY
4 OSTROWSKIS INEQUALITY 1082962 4% 93% 38 Search OSTROWSKIS+INEQUALITY Search OSTROWSKIS+INEQUALITY
5 SPECIAL MEANS 864814 3% 94% 30 Search SPECIAL+MEANS Search SPECIAL+MEANS
6 HERMITE HADAMARD TYPE INEQUALITY 803572 3% 93% 28 Search HERMITE+HADAMARD+TYPE+INEQUALITY Search HERMITE+HADAMARD+TYPE+INEQUALITY
7 CONVEX FUNCTION 727861 16% 15% 163 Search CONVEX+FUNCTION Search CONVEX+FUNCTION
8 HERMITE HADAMARDS INEQUALITY 651535 3% 76% 28 Search HERMITE+HADAMARDS+INEQUALITY Search HERMITE+HADAMARDS+INEQUALITY
9 GRUSS INEQUALITY 564190 3% 54% 34 Search GRUSS+INEQUALITY Search GRUSS+INEQUALITY
10 S CONVEX FUNCTION 528588 2% 90% 19 Search S+CONVEX+FUNCTION Search S+CONVEX+FUNCTION

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 WANG, ZB , VONG, S , (2014) ON SOME GENERALIZATIONS OF AN OSTROWSKI-GRASS TYPE INTEGRAL INEQUALITY.APPLIED MATHEMATICS AND COMPUTATION. VOL. 229. ISSUE . P. 239-244 24 100% 2
2 DRAGOMIR, SS , (2014) INEQUALITIES FOR THE RIEMANN-STIELTJES INTEGRAL OF PRODUCT INTEGRATORS WITH APPLICATIONS.JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 51. ISSUE 4. P. 791 -815 23 100% 0
3 LIU, WJ , PARK, J , (2017) SOME PERTURBED VERSIONS OF THE GENERALIZED TRAPEZOID INEQUALITY FOR FUNCTIONS OF BOUNDED VARIATION.JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS. VOL. 22. ISSUE 1. P. 11 -18 20 100% 0
4 LIU, WJ , (2014) NEW BOUNDS FOR THE COMPANION OF OSTROWSKI'S INEQUALITY AND APPLICATIONS.FILOMAT. VOL. 28. ISSUE 1. P. 167-178 20 100% 4
5 LIU, WJ , WEN, WS , PARK, J , (2016) A REFINEMENT OF THE DIFFERENCE BETWEEN TWO INTEGRAL MEANS IN TERMS OF THE CUMULATIVE VARIATION AND APPLICATIONS.JOURNAL OF MATHEMATICAL INEQUALITIES. VOL. 10. ISSUE 1. P. 147 -157 18 95% 2
6 DU, TS , LIAO, JG , CHEN, LZ , AWAN, MU , (2016) PROPERTIES AND RIEMANN-LIOUVILLE FRACTIONAL HERMITE-HADAMARD INEQUALITIES FOR THE GENERALIZED (ALPHA,M)-PREINVEX FUNCTIONS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 23 85% 0
7 FENG, QH , MENG, FW , (2012) SOME GENERALIZED OSTROWSKI-GRUSS TYPE INTEGRAL INEQUALITIES.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 63. ISSUE 3. P. 652-659 21 100% 3
8 CHU, YM , KHAN, MA , KHAN, TU , ALI, T , (2016) GENERALIZATIONS OF HERMITE-HADAMARD TYPE INEQUALITIES FOR MT-CONVEX FUNCTIONS.JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS. VOL. 9. ISSUE 6. P. 4305 -4316 19 100% 0
9 ZHENG, B , FENG, QH , (2014) GENERALIZED N DIMENSIONAL OSTROWSKI TYPE AND GRUSS TYPE INEQUALITIES ON TIME SCALES.JOURNAL OF APPLIED MATHEMATICS. VOL. . ISSUE . P. - 19 100% 1
10 HUY, VN , NGO, QA , (2014) A NEW OSTROWSKI-GRUSS INEQUALITY INVOLVING 3N KNOTS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 235. ISSUE . P. 272-282 19 100% 1

Classes with closest relation at Level 1



Rank Class id link
1 15723 EXPONENTIAL CONVEXITY//JENSENS INEQUALITY//SUPERQUADRATIC FUNCTIONS
2 21985 INTEGRAL INEQUALITY//TWO INDEPENDENT VARIABLES//RETARDED INTEGRAL INEQUALITY
3 11098 SEIFFERT MEAN//LOGARITHMIC MEAN//POWER MEAN
4 5831 UNITARILY INVARIANT NORM//OPERATOR MONOTONE FUNCTION//OPERATOR INEQUALITY
5 27398 GOLAB SCHINZEL EQUATION//GOLAB SCHINZEL FUNCTIONAL EQUATION//UNIFORM CONVERGENCE THEOREM
6 26148 ORTHOGONALITY PRESERVING MAPPINGS//DUNKL WILLIAMS INEQUALITY//APPROXIMATE ORTHOGONALITY
7 6938 SYMMETRIC DUALITY//DUALITY THEOREMS//GENERALIZED CONVEXITY
8 28474 HAAR NULL//MONOTONE METRIC SPACE//TYPICAL CONTINUOUS FUNCTION
9 32188 SHEPARD OPERATOR//COMBINED SHEPARD OPERATORS//SHEPARD METHOD
10 12598 GAMMA FUNCTION//PSI FUNCTION//COMPLETELY MONOTONIC FUNCTION

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