Class information for:
Level 2: GAMMA FUNCTION//HERMITE HADAMARD INEQUALITY//MATHEMATICAL INEQUALITIES & APPLICATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2523 3821 15.6 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
11098 1                   SEIFFERT MEAN//LOGARITHMIC MEAN//POWER MEAN 1007
11293 1                   HERMITE HADAMARD INEQUALITY//OSTROWSKI INEQUALITY//OSTROWSKI TYPE INEQUALITY 993
12598 1                   GAMMA FUNCTION//PSI FUNCTION//COMPLETELY MONOTONIC FUNCTION 894
15723 1                   EXPONENTIAL CONVEXITY//JENSENS INEQUALITY//SUPERQUADRATIC FUNCTIONS 696
27376 1                   EQUIVALENT FORM//HILBERTS INEQUALITY//HILBERT TYPE INEQUALITY 231

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 GAMMA FUNCTION authKW 1164372 7% 52% 279
2 HERMITE HADAMARD INEQUALITY authKW 1021541 4% 87% 147
3 MATHEMATICAL INEQUALITIES & APPLICATIONS journal 741066 9% 26% 361
4 JOURNAL OF MATHEMATICAL INEQUALITIES journal 732473 6% 41% 225
5 CONVEX FUNCTION authKW 670686 8% 27% 307
6 PSI FUNCTION authKW 603500 3% 79% 96
7 OSTROWSKI INEQUALITY authKW 592780 2% 95% 78
8 COMPLETELY MONOTONIC FUNCTION authKW 565137 2% 81% 87
9 HOLDERS INEQUALITY authKW 401017 3% 46% 110
10 JENSENS INEQUALITY authKW 390218 3% 43% 114

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 129530 78% 1% 2999
2 Mathematics, Applied 100223 64% 1% 2433
3 Statistics & Probability 73 2% 0% 62
4 Computer Science, Theory & Methods 58 2% 0% 68
5 Computer Science, Software Engineering 32 1% 0% 45
6 Computer Science, Interdisciplinary Applications 19 1% 0% 49
7 Multidisciplinary Sciences -1 0% 0% 7
8 Social Sciences, Mathematical Methods -1 0% 0% 3
9 Mathematics, Interdisciplinary Applications -1 0% 0% 14
10 Computer Science, Cybernetics -2 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 TEXT TECHNOL 238461 7% 11% 273
2 MATH INEQUAL THEORY 170439 1% 89% 24
3 ABDUS SALAM MATH SCI 75391 2% 16% 60
4 MATH 64909 48% 0% 1853
5 MATH INEQUAL PLICAT 55927 0% 100% 7
6 POWER SUPPLY SERV 55927 0% 100% 7
7 KK EDUC 53592 1% 19% 36
8 FOOD TECHNOL BIOTECHNOL 42988 2% 7% 76
9 MATH COMPUTAT SCI 35943 3% 4% 110
10 MATH INFORMAT 35322 5% 2% 197

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 741066 9% 26% 361
2 JOURNAL OF MATHEMATICAL INEQUALITIES 732473 6% 41% 225
3 JOURNAL OF INEQUALITIES AND APPLICATIONS 387141 10% 12% 400
4 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 65555 11% 2% 416
5 AEQUATIONES MATHEMATICAE 53979 1% 12% 57
6 AMERICAN MATHEMATICAL MONTHLY 29432 3% 4% 100
7 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 28658 2% 5% 67
8 JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS 21205 2% 4% 63
9 PUBLICATIONES MATHEMATICAE-DEBRECEN 17896 2% 3% 66
10 FILOMAT 15252 1% 4% 49

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 GAMMA FUNCTION 1164372 7% 52% 279 Search GAMMA+FUNCTION Search GAMMA+FUNCTION
2 HERMITE HADAMARD INEQUALITY 1021541 4% 87% 147 Search HERMITE+HADAMARD+INEQUALITY Search HERMITE+HADAMARD+INEQUALITY
3 CONVEX FUNCTION 670686 8% 27% 307 Search CONVEX+FUNCTION Search CONVEX+FUNCTION
4 PSI FUNCTION 603500 3% 79% 96 Search PSI+FUNCTION Search PSI+FUNCTION
5 OSTROWSKI INEQUALITY 592780 2% 95% 78 Search OSTROWSKI+INEQUALITY Search OSTROWSKI+INEQUALITY
6 COMPLETELY MONOTONIC FUNCTION 565137 2% 81% 87 Search COMPLETELY+MONOTONIC+FUNCTION Search COMPLETELY+MONOTONIC+FUNCTION
7 HOLDERS INEQUALITY 401017 3% 46% 110 Search HOLDERS+INEQUALITY Search HOLDERS+INEQUALITY
8 JENSENS INEQUALITY 390218 3% 43% 114 Search JENSENS+INEQUALITY Search JENSENS+INEQUALITY
9 EQUIVALENT FORM 377827 1% 93% 51 Search EQUIVALENT+FORM Search EQUIVALENT+FORM
10 OSTROWSKI TYPE INEQUALITY 376861 1% 94% 50 Search OSTROWSKI+TYPE+INEQUALITY Search OSTROWSKI+TYPE+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 QI, F , (2010) BOUNDS FOR THE RATIO OF TWO GAMMA FUNCTIONS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 65 93% 23
2 CHEN, CP , TONG, WW , (2016) SHARP INEQUALITIES AND ASYMPTOTIC EXPANSIONS FOR THE GAMMA FUNCTION.JOURNAL OF NUMBER THEORY. VOL. 160. ISSUE . P. 418 -431 42 100% 1
3 GUO, BN , QI, F , ZHAO, JL , LUO, QM , (2015) SHARP INEQUALITIES FOR POLYGAMMA FUNCTIONS.MATHEMATICA SLOVACA. VOL. 65. ISSUE 1. P. 103 -120 45 100% 1
4 CHEN, Q , YANG, BC , (2015) A SURVEY ON THE STUDY OF HILBERT-TYPE INEQUALITIES.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 44 100% 0
5 CHEN, CP , (2016) ON THE ASYMPTOTIC EXPANSIONS OF THE GAMMA FUNCTION RELATED TO THE NEMES, GOSPER AND BURNSIDE FORMULAS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 276. ISSUE . P. 417 -431 43 100% 0
6 QI, F , LI, WH , (2015) A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS.JOURNAL OF APPLIED ANALYSIS AND COMPUTATION. VOL. 5. ISSUE 4. P. 626 -634 44 98% 0
7 CHEN, CP , (2016) A MORE ACCURATE APPROXIMATION FOR THE GAMMA FUNCTION.JOURNAL OF NUMBER THEORY. VOL. 164. ISSUE . P. 417 -428 42 100% 0
8 QI, F , GUO, BN , (2016) COMPLETE MONOTONICITY OF DIVIDED DIFFERENCES OF THE DI- AND TRI-GAMMA FUNCTIONS WITH APPLICATIONS.GEORGIAN MATHEMATICAL JOURNAL. VOL. 23. ISSUE 2. P. 279 -291 38 100% 1
9 QI, F , MORTICI, C , (2015) SOME INEQUALITIES FOR THE TRIGAMMA FUNCTION IN TERMS OF THE DIGAMMA FUNCTION.APPLIED MATHEMATICS AND COMPUTATION. VOL. 271. ISSUE . P. 502 -511 40 100% 0
10 CHEN, CP , (2016) MONOTONICITY PROPERTIES, INEQUALITIES AND ASYMPTOTIC EXPANSIONS ASSOCIATED WITH THE GAMMA FUNCTION.APPLIED MATHEMATICS AND COMPUTATION. VOL. 283. ISSUE . P. 385 -396 37 100% 0

Classes with closest relation at Level 2


Rank Class id link
1 2875 HYERS ULAM STABILITY//HYERS ULAM RASSIAS STABILITY//GENERALIZED HYERS ULAM STABILITY
2 1244 FIBONACCI QUARTERLY//MULTIPLE ZETA VALUES//BERNOULLI NUMBERS
3 943 LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//MOORE PENROSE INVERSE
4 2653 BASIC HYPERGEOMETRIC SERIES//OPERATIONAL METHODS//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
5 2295 OSCILLATION//NONOSCILLATION//NONOSCILLATORY SOLUTION
6 2288 MODULUS OF CONTINUITY//JOURNAL OF APPROXIMATION THEORY//MODULUS OF SMOOTHNESS
7 1193 ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
8 3266 MAHLER MEASURE//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS
9 3377 LINEABILITY//SPACEABILITY//ALGEBRABILITY
10 2311 UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS//STARLIKE FUNCTIONS

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