Class information for: |
Basic class information |
| Class id | #P | Avg. number of references |
Database coverage of references |
|---|---|---|---|
| 33318 | 126 | 15.6 | 20% |
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 |
| 609 | 3 | FIXED POINT//HYERS ULAM STABILITY//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES | 14179 |
| 2288 | 2 | MODULUS OF CONTINUITY//JOURNAL OF APPROXIMATION THEORY//MODULUS OF SMOOTHNESS | 4575 |
| 33318 | 1 | POSITIVE TRIGONOMETRIC SUMS//FEJER JACKSON INEQUALITY//RELATIVE WIDTH | 126 |
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 | POSITIVE TRIGONOMETRIC SUMS | authKW | 1246348 | 5% | 86% | 6 |
| 2 | FEJER JACKSON INEQUALITY | authKW | 727037 | 2% | 100% | 3 |
| 3 | RELATIVE WIDTH | authKW | 673178 | 4% | 56% | 5 |
| 4 | INFINITE DIMENSIONAL WIDTH | authKW | 545277 | 2% | 75% | 3 |
| 5 | APPROXIMATION OF SOBOLEV CLASSES | authKW | 484692 | 2% | 100% | 2 |
| 6 | AVERAGE SIGMA K WIDTH | authKW | 484692 | 2% | 100% | 2 |
| 7 | COSINE SUMS | authKW | 484692 | 2% | 100% | 2 |
| 8 | PERIODIC CONVOLUTION CLASS | authKW | 484692 | 2% | 100% | 2 |
| 9 | POSITIVE SUMMABILITY KERNEL | authKW | 484692 | 2% | 100% | 2 |
| 10 | POSITIVE TRIGONOMETRIC SUM | authKW | 484692 | 2% | 100% | 2 |
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 | 5508 | 89% | 0% | 112 |
| 2 | Mathematics, Applied | 396 | 23% | 0% | 29 |
| 3 | Multidisciplinary Sciences | 38 | 3% | 0% | 4 |
| 4 | Mathematics, Interdisciplinary Applications | 18 | 3% | 0% | 4 |
| 5 | Computer Science, Software Engineering | 8 | 2% | 0% | 3 |
| 6 | History & Philosophy of Science | 5 | 1% | 0% | 1 |
| 7 | Mechanics | 2 | 2% | 0% | 3 |
| 8 | Statistics & Probability | 0 | 1% | 0% | 1 |
| 9 | Computer Science, Theory & Methods | 0 | 1% | 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 | CIENCIAS COMPUTAC ESTATIST | 242346 | 1% | 100% | 1 |
| 2 | OFF VICE CHANCELLOR PRINCIPAL | 242346 | 1% | 100% | 1 |
| 3 | CIENCIA COMPUTACAO ESTATIST | 60585 | 1% | 25% | 1 |
| 4 | CIENCIAS COMP ESTAT | 8653 | 1% | 4% | 1 |
| 5 | MATH COMPLEX SYST | 3011 | 2% | 0% | 3 |
| 6 | VA STEKLOV MATH | 3010 | 3% | 0% | 4 |
| 7 | STEKLOV MATH | 2966 | 2% | 0% | 3 |
| 8 | MATH MECH | 2469 | 5% | 0% | 6 |
| 9 | MATH STAT | 1244 | 15% | 0% | 19 |
| 10 | MATH SCI | 646 | 12% | 0% | 15 |
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 NOTES | 12456 | 13% | 0% | 16 |
| 2 | JOURNAL OF APPROXIMATION THEORY | 7091 | 8% | 0% | 10 |
| 3 | ANALYSIS MATHEMATICA | 6775 | 2% | 1% | 2 |
| 4 | SBORNIK MATHEMATICS | 3911 | 4% | 0% | 5 |
| 5 | INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 3294 | 2% | 0% | 3 |
| 6 | ANALYSIS AND APPLICATIONS | 2979 | 2% | 1% | 2 |
| 7 | IZVESTIYA MATHEMATICS | 2431 | 2% | 0% | 3 |
| 8 | CONSTRUCTIVE APPROXIMATION | 2188 | 2% | 0% | 3 |
| 9 | VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA | 2105 | 2% | 0% | 3 |
| 10 | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 1892 | 4% | 0% | 5 |
Author Key Words |
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 | ALZER, H , KOUMANDOS, S , (2013) A SHARP INEQUALITY FOR A TRIGONOMETRIC SUM.MEDITERRANEAN JOURNAL OF MATHEMATICS. VOL. 10. ISSUE 1. P. 313 -320 | 12 | 100% | 0 |
| 2 | MONDAL, SR , SWARNINATHANI, A , (2011) ON THE POSITIVITY OF CERTAIN TRIGONOMETRIC SUMS AND THEIR APPLICATIONS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 62. ISSUE 10. P. 3871-3883 | 11 | 92% | 2 |
| 3 | MONDAL, SR , SWAMINATHAN, A , (2012) STABLE FUNCTIONS AND EXTENSION OF VIETORIS' THEOREM.RESULTS IN MATHEMATICS. VOL. 62. ISSUE 1-2. P. 33-51 | 9 | 100% | 0 |
| 4 | ALZER, H , KOUMANDOS, S , (2004) SHARP INEQUALITIES FOR TRIGONOMETRIC SUMS IN TWO VARIABLES.ILLINOIS JOURNAL OF MATHEMATICS. VOL. 48. ISSUE 3. P. 887 -907 | 11 | 92% | 7 |
| 5 | ALZER, H , KOUMANDOS, S , (2003) INEQUALITIES OF FEJER-JACKSON TYPE.MONATSHEFTE FUR MATHEMATIK. VOL. 139. ISSUE 2. P. 89 -103 | 10 | 100% | 7 |
| 6 | XIAO, WW , (2011) RELATIVE WIDTHS OF FUNCTION CLASSES OF L (2)(T) DEFINED BY A LINEAR DIFFERENTIAL OPERATOR IN L (Q) (T).ANALYSIS MATHEMATICA. VOL. 37. ISSUE 1. P. 65-81 | 8 | 100% | 0 |
| 7 | ALZER, H , SHI, XQ , (2009) SHARP BOUNDS FOR TRIGONOMETRIC POLYNOMIALS IN TWO VARIABLES.ANALYSIS AND APPLICATIONS. VOL. 7. ISSUE 4. P. 341-350 | 8 | 100% | 0 |
| 8 | KOUMANDOS, S , (2007) AN EXTENSION OF VIETORIS'S INEQUALITIES.RAMANUJAN JOURNAL. VOL. 14. ISSUE 1. P. 1 -38 | 8 | 100% | 9 |
| 9 | ALZER, H , LIU, XP , SHI, XQ , (2013) INEQUALITIES FOR ALTERNATING TRIGONOMETRIC SUMS.RESULTS IN MATHEMATICS. VOL. 63. ISSUE 3-4. P. 1215-1223 | 7 | 100% | 0 |
| 10 | ALZER, H , KOUMANDOS, S , (2007) A NEW REFINEMENT OF YOUNG'S INEQUALITY.PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. VOL. 50. ISSUE . P. 255 -262 | 8 | 100% | 1 |
Classes with closest relation at Level 1 |