Class information for:
Level 1: SEIFFERT MEAN//LOGARITHMIC MEAN//POWER MEAN

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
11098 1007 17.1 39%


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
11098 1                   SEIFFERT MEAN//LOGARITHMIC MEAN//POWER MEAN 1007

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 SEIFFERT MEAN authKW 636753 2% 100% 21
2 LOGARITHMIC MEAN authKW 584166 3% 57% 34
3 POWER MEAN authKW 583754 4% 51% 38
4 JORDANS INEQUALITY authKW 576110 2% 100% 19
5 NEUMAN SANDOR MEAN authKW 545788 2% 100% 18
6 STOLARSKY MEAN authKW 526276 3% 64% 27
7 GINI MEAN authKW 514292 2% 81% 21
8 QUADRATIC MEAN authKW 497544 2% 86% 19
9 SCHWAB BORCHARDT MEAN authKW 485145 2% 100% 16
10 TOADER MEAN authKW 424502 1% 100% 14

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 39513 84% 0% 849
2 Mathematics, Applied 23052 60% 0% 600
3 Statistics & Probability 26 2% 0% 18
4 Mathematics, Interdisciplinary Applications 3 1% 0% 9
5 Social Sciences, Mathematical Methods 1 0% 0% 3
6 Multidisciplinary Sciences 1 0% 0% 4
7 History & Philosophy of Science -0 0% 0% 1
8 Engineering, General -0 0% 0% 4
9 Business, Finance -1 0% 0% 1
10 Education, Scientific Disciplines -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 INEQUAL PLICAT 212251 1% 100% 7
2 MATH COMPUTAT SCI 93726 9% 3% 91
3 POWER SUPPLY SERV 69303 0% 57% 4
4 SECT HYDROMETEOROL 60643 0% 100% 2
5 MATH INEQUAL THEORY 55018 1% 26% 7
6 MATH COMP SCI ECONOMETR 46585 2% 7% 23
7 DISTANCE EDUC 41146 2% 6% 24
8 ACUST ELE OACUST 34108 0% 38% 3
9 MATH ECONOMETR 30501 3% 3% 30
10 ACQUISIT CATALOGING LIB 30322 0% 100% 1

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 300671 7% 13% 74
2 MATHEMATICAL INEQUALITIES & APPLICATIONS 256388 11% 8% 109
3 JOURNAL OF INEQUALITIES AND APPLICATIONS 109089 11% 3% 109
4 AEQUATIONES MATHEMATICAE 27818 2% 4% 21
5 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 27046 14% 1% 137
6 PUBLICATIONES MATHEMATICAE-DEBRECEN 18085 3% 2% 34
7 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 12828 2% 2% 23
8 AMERICAN MATHEMATICAL MONTHLY 9398 3% 1% 29
9 ABSTRACT AND APPLIED ANALYSIS 7009 3% 1% 32
10 ANALYSIS MATHEMATICA 5291 0% 3% 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 SEIFFERT MEAN 636753 2% 100% 21 Search SEIFFERT+MEAN Search SEIFFERT+MEAN
2 LOGARITHMIC MEAN 584166 3% 57% 34 Search LOGARITHMIC+MEAN Search LOGARITHMIC+MEAN
3 POWER MEAN 583754 4% 51% 38 Search POWER+MEAN Search POWER+MEAN
4 JORDANS INEQUALITY 576110 2% 100% 19 Search JORDANS+INEQUALITY Search JORDANS+INEQUALITY
5 NEUMAN SANDOR MEAN 545788 2% 100% 18 Search NEUMAN+SANDOR+MEAN Search NEUMAN+SANDOR+MEAN
6 STOLARSKY MEAN 526276 3% 64% 27 Search STOLARSKY+MEAN Search STOLARSKY+MEAN
7 GINI MEAN 514292 2% 81% 21 Search GINI+MEAN Search GINI+MEAN
8 QUADRATIC MEAN 497544 2% 86% 19 Search QUADRATIC+MEAN Search QUADRATIC+MEAN
9 SCHWAB BORCHARDT MEAN 485145 2% 100% 16 Search SCHWAB+BORCHARDT+MEAN Search SCHWAB+BORCHARDT+MEAN
10 TOADER MEAN 424502 1% 100% 14 Search TOADER+MEAN Search TOADER+MEAN

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 CHU, YM , ZHAO, TH , (2015) CONVEXITY AND CONCAVITY OF THE COMPLETE ELLIPTIC INTEGRALS WITH RESPECT TO LEHMER MEAN.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 29 97% 0
2 YANG, ZH , CHU, YM , ZHANG, XH , (2015) SHARP CUSA TYPE INEQUALITIES WITH TWO PARAMETERS AND THEIR APPLICATIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 268. ISSUE . P. 1177 -1198 27 100% 1
3 QI, F , NIU, DW , GUO, BN , (2009) REFINEMENTS, GENERALIZATIONS, AND APPLICATIONS OF JORDAN'S INEQUALITY AND RELATED PROBLEMS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 36 82% 21
4 YANG, ZH , (2013) THREE FAMILIES OF TWO-PARAMETER MEANS CONSTRUCTED BY TRIGONOMETRIC FUNCTIONS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 28 100% 0
5 ZHAO, TH , QIAN, WM , SONG, YQ , (2016) OPTIMAL BOUNDS FOR TWO SANDOR-TYPE MEANS IN TERMS OF POWER MEANS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 26 100% 0
6 WANG, MK , CHU, YM , (2013) ASYMPTOTICAL BOUNDS FOR COMPLETE ELLIPTIC INTEGRALS OF THE SECOND KIND.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 402. ISSUE 1. P. 119-126 26 100% 0
7 MALESEVIC, B , MAKRAGIC, M , (2016) A METHOD FOR PROVING SOME INEQUALITIES ON MIXED TRIGONOMETRIC POLYNOMIAL FUNCTIONS.JOURNAL OF MATHEMATICAL INEQUALITIES. VOL. 10. ISSUE 3. P. 849 -876 25 96% 0
8 CHEN, CP , SANDOR, J , (2014) INEQUALITY CHAINS FOR WILKER, HUYGENS AND LAZAREVIC TYPE INEQUALITIES.JOURNAL OF MATHEMATICAL INEQUALITIES. VOL. 8. ISSUE 1. P. 55-67 24 100% 2
9 LI, YM , WANG, MK , CHU, YM , (2014) SHARP POWER MEAN BOUNDS FOR SEIFFERT MEAN.APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B. VOL. 29. ISSUE 1. P. 101 -107 23 100% 5
10 YANG, ZH , (2013) SCHUR POWER CONVEXITY OF GINI MEANS.BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 50. ISSUE 2. P. 485-498 25 96% 4

Classes with closest relation at Level 1


Rank Class id link
1 12598 GAMMA FUNCTION//PSI FUNCTION//COMPLETELY MONOTONIC FUNCTION
2 15723 EXPONENTIAL CONVEXITY//JENSENS INEQUALITY//SUPERQUADRATIC FUNCTIONS
3 11293 HERMITE HADAMARD INEQUALITY//OSTROWSKI INEQUALITY//OSTROWSKI TYPE INEQUALITY
4 27274 KEPLERS EQUATION//OPTIMAL STARTER//HALF ARGUMENT TRANSFORMATION
5 37464 ERDOS MORDELL INEQUALITY//FUNDAMENTAL TRIANGLE INEQUALITY//EULERS INEQUALITY
6 12595 UNIFORM ASYMPTOTIC EXPANSION//ZEROS//TURAN TYPE INEQUALITIES
7 13453 THETA FUNCTIONS//MODULAR EQUATIONS//CONVOLUTION SUMS
8 36125 KNOT ELECTRODYNAMICS//ACCOMPANYING LINEAR FORMS//COPPER MOLYBDENUM COMPOSITE
9 26153 G MAJORIZATION//GROUP MAJORIZATION//STRONG LINEAR PRESERVER
10 31587 NEAR AUTOMORPHISM//SORTABILITY//CHESSBOARD PEBBLING

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