Class information for:
Level 1: EQUIVALENT FORM//HILBERTS INEQUALITY//HILBERT TYPE INEQUALITY

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
27376 231 14.9 34%



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
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 EQUIVALENT FORM authKW 6251270 22% 93% 51
2 HILBERTS INEQUALITY authKW 5155321 17% 100% 39
3 HILBERT TYPE INEQUALITY authKW 4758758 16% 100% 36
4 WEIGHT COEFFICIENT authKW 3373522 15% 73% 35
5 HARDY HILBERTS INEQUALITY authKW 1819148 7% 81% 17
6 HILBERT TYPE INTEGRAL INEQUALITY authKW 1586253 5% 100% 12
7 HARDY HILBERT TYPE INEQUALITY authKW 1454065 5% 100% 11
8 HILBERT INEQUALITY authKW 1189684 5% 75% 12
9 BETA FUNCTION authKW 1020534 17% 20% 39
10 OPERATOR EXPRESSION authKW 940000 3% 89% 8

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 10881 92% 0% 213
2 Mathematics, Applied 7014 68% 0% 158
3 Computer Science, Software Engineering -0 0% 0% 1
4 Statistics & Probability -0 0% 0% 1
5 Computer Science, Interdisciplinary Applications -0 0% 0% 1
6 Mechanics -1 0% 0% 1
7 Engineering, Electrical & Electronic -5 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 ZHEJIANG CONSERVANCY HYDROPOWER 132188 0% 100% 1
2 NORMAL 42213 4% 3% 10
3 ELECT ENGN COMP 21393 6% 1% 13
4 LEDERLE GRT 12015 0% 9% 1
5 TEXT TECHNOL 11905 6% 1% 15
6 MATH 9099 73% 0% 169
7 INFORMAT MATH SCI 7906 3% 1% 6
8 TEACHER EDUC 6905 5% 0% 11
9 PG MATH 6524 1% 2% 2
10 CONSTRUCT INFORMAT ENGN 6293 0% 5% 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 INEQUALITIES AND APPLICATIONS 202033 31% 2% 71
2 MATHEMATICAL INEQUALITIES & APPLICATIONS 121949 16% 3% 36
3 JOURNAL OF MATHEMATICAL INEQUALITIES 19379 4% 2% 9
4 BANACH JOURNAL OF MATHEMATICAL ANALYSIS 5803 2% 1% 4
5 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 4572 12% 0% 27
6 MEDITERRANEAN JOURNAL OF MATHEMATICS 3638 2% 1% 5
7 MATHEMATICA SLOVACA 1553 1% 0% 3
8 JOURNAL OF FUNCTION SPACES AND APPLICATIONS 1453 1% 1% 2
9 JOURNAL OF FUNCTION SPACES 1362 1% 1% 2
10 TAIWANESE JOURNAL OF MATHEMATICS 1230 2% 0% 4

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 EQUIVALENT FORM 6251270 22% 93% 51 Search EQUIVALENT+FORM Search EQUIVALENT+FORM
2 HILBERTS INEQUALITY 5155321 17% 100% 39 Search HILBERTS+INEQUALITY Search HILBERTS+INEQUALITY
3 HILBERT TYPE INEQUALITY 4758758 16% 100% 36 Search HILBERT+TYPE+INEQUALITY Search HILBERT+TYPE+INEQUALITY
4 WEIGHT COEFFICIENT 3373522 15% 73% 35 Search WEIGHT+COEFFICIENT Search WEIGHT+COEFFICIENT
5 HARDY HILBERTS INEQUALITY 1819148 7% 81% 17 Search HARDY+HILBERTS+INEQUALITY Search HARDY+HILBERTS+INEQUALITY
6 HILBERT TYPE INTEGRAL INEQUALITY 1586253 5% 100% 12 Search HILBERT+TYPE+INTEGRAL+INEQUALITY Search HILBERT+TYPE+INTEGRAL+INEQUALITY
7 HARDY HILBERT TYPE INEQUALITY 1454065 5% 100% 11 Search HARDY+HILBERT+TYPE+INEQUALITY Search HARDY+HILBERT+TYPE+INEQUALITY
8 HILBERT INEQUALITY 1189684 5% 75% 12 Search HILBERT+INEQUALITY Search HILBERT+INEQUALITY
9 BETA FUNCTION 1020534 17% 20% 39 Search BETA+FUNCTION Search BETA+FUNCTION
10 OPERATOR EXPRESSION 940000 3% 89% 8 Search OPERATOR+EXPRESSION Search OPERATOR+EXPRESSION

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 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
2 SEO, K , (2015) A HILBERT-TYPE OPERATOR WITH A SYMMETRIC HOMOGENEOUS KERNEL OF TWO PARAMETERS AND ITS APPLICATIONS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 20 100% 0
3 LIAO, JQ , YANG, BC , (2016) ON A MORE ACCURATE HALF-DISCRETE HARDY-HILBERT-TYPE INEQUALITY RELATED TO THE KERNEL OF EXPONENTIAL FUNCTION.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 18 100% 0
4 XIN, DM , YANG, BC , CHEN, Q , (2016) A DISCRETE HILBERT-TYPE INEQUALITY IN THE WHOLE PLANE.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 17 100% 0
5 CHEN, Q , SHI, YP , YANG, BC , (2016) A RELATION BETWEEN TWO SIMPLE HARDY-MULHOLLAND-TYPE INEQUALITIES WITH PARAMETERS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 16 100% 0
6 CHEN, Q , YANG, BC , (2014) ON A MORE ACCURATE MULTIDIMENSIONAL MULHOLLAND-TYPE INEQUALITY.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 16 100% 0
7 JIN, JJ , DEBNATH, L , (2010) ON A HILBERT-TYPE LINEAR SERIES OPERATOR AND ITS APPLICATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 371. ISSUE 2. P. 691-704 17 94% 22
8 YANG, BC , CHEN, Q , (2015) A HALF-DISCRETE HARDY-HILBERT-TYPE INEQUALITY RELATED TO HYPERBOLIC SECANT FUNCTION.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 15 100% 0
9 RASSIAS, MT , YANG, BC , (2013) ON HALF-DISCRETE HILBERT'S INEQUALITY.APPLIED MATHEMATICS AND COMPUTATION. VOL. 220. ISSUE . P. 75-93 15 100% 2
10 SHI, YP , YANG, BC , (2015) ON A MULTIDIMENSIONAL HILBERT-TYPE INEQUALITY WITH PARAMETERS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 14 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 15723 EXPONENTIAL CONVEXITY//JENSENS INEQUALITY//SUPERQUADRATIC FUNCTIONS
2 29485 MATHIEU SERIES//DIFFERINTEGRAL EQUATIONS//GENERALIZED LEIBNIZ RULE
3 23320 LYAPUNOV TYPE INEQUALITY//LYAPUNOV INEQUALITY//OPIALS INEQUALITY
4 19024 MATH INFORMAT MECH//BELLMAN FUNCTION//WEAK TYPE INEQUALITY
5 6458 LORENTZ SPACES//REARRANGEMENT INVARIANT SPACES//REAL INTERPOLATION
6 11293 HERMITE HADAMARD INEQUALITY//OSTROWSKI INEQUALITY//OSTROWSKI TYPE INEQUALITY
7 16728 ADV DESIGN MFG RELIABIL MEMS NEMS ODES//DROP TEST//SOLDER JOINT
8 11098 SEIFFERT MEAN//LOGARITHMIC MEAN//POWER MEAN
9 11719 DNA COMPUTING//DNA COMPUTATION//SPLICING SYSTEMS
10 12595 UNIFORM ASYMPTOTIC EXPANSION//ZEROS//TURAN TYPE INEQUALITIES

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