Class information for:
Level 1: CONVERGENCE WITH RATES//DIRICHLET PROBLEM CONTINUOUS AND DISCRETE//FIRST AND SECOND MODULI OF CONTINUITY

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
36311 83 14.5 21%



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
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
36311 1                   CONVERGENCE WITH RATES//DIRICHLET PROBLEM CONTINUOUS AND DISCRETE//FIRST AND SECOND MODULI OF CONTINUITY 83

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 CONVERGENCE WITH RATES authKW 1103699 4% 100% 3
2 DIRICHLET PROBLEM CONTINUOUS AND DISCRETE authKW 735799 2% 100% 2
3 FIRST AND SECOND MODULI OF CONTINUITY authKW 735799 2% 100% 2
4 QUANTITATIVE RESONANCE PRINCIPLE authKW 735799 2% 100% 2
5 SECOND MODULUS OF CONTINUITY authKW 735799 2% 100% 2
6 SPACE TIME RANDOM WALK authKW 735799 2% 100% 2
7 SPACE TIME WIENER PROCESS authKW 735799 2% 100% 2
8 RESONANCE PRINCIPLE authKW 490531 2% 67% 2
9 AVERAGED MODULUS OF SMOOTHNESS authKW 367900 1% 100% 1
10 BEST WEIGHTED ALGEBRAIC APPROXIMATION authKW 367900 1% 100% 1

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 1989 66% 0% 55
2 Mathematics, Applied 877 41% 0% 34
3 Statistics & Probability 26 5% 0% 4
4 Multidisciplinary Sciences 3 1% 0% 1
5 Computer Science, Software Engineering 1 1% 0% 1
6 Computer Science, Theory & Methods 0 1% 0% 1
7 Physics, Mathematical 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 LEHRSTUHL THEORET INFORMAT TECHN 367900 1% 100% 1
2 LEHRSTUHL THEORET INFORMAT TECH 105107 5% 7% 4
3 LEHRSTUHL MATH A 82111 6% 4% 5
4 SCI RABAT 5330 1% 1% 1
5 MATH SEMINAR 609 1% 0% 1
6 PATTERN RECOGNIT 253 1% 0% 1
7 ANAL MATEMAT 139 1% 0% 1
8 ELECT ENGN COMP SCI 91 4% 0% 3
9 FAK MATH 91 1% 0% 1
10 ELECT 51 2% 0% 2

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 APPROXIMATION THEORY 34941 22% 1% 18
2 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 7078 7% 0% 6
3 ACTA SCIENTIARUM MATHEMATICARUM 5001 2% 1% 2
4 ACTA MATHEMATICA HUNGARICA 3109 6% 0% 5
5 MATHEMATISCHE NACHRICHTEN 2291 6% 0% 5
6 JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY 2214 1% 1% 1
7 NUMERISCHE MATHEMATIK 1970 5% 0% 4
8 ABEL SYMPOSIA 1423 2% 0% 2
9 PROBLEMS OF INFORMATION TRANSMISSION 1254 1% 0% 1
10 AMERICAN MATHEMATICAL MONTHLY 1222 4% 0% 3

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 CONVERGENCE WITH RATES 1103699 4% 100% 3 Search CONVERGENCE+WITH+RATES Search CONVERGENCE+WITH+RATES
2 DIRICHLET PROBLEM CONTINUOUS AND DISCRETE 735799 2% 100% 2 Search DIRICHLET+PROBLEM+CONTINUOUS+AND+DISCRETE Search DIRICHLET+PROBLEM+CONTINUOUS+AND+DISCRETE
3 FIRST AND SECOND MODULI OF CONTINUITY 735799 2% 100% 2 Search FIRST+AND+SECOND+MODULI+OF+CONTINUITY Search FIRST+AND+SECOND+MODULI+OF+CONTINUITY
4 QUANTITATIVE RESONANCE PRINCIPLE 735799 2% 100% 2 Search QUANTITATIVE+RESONANCE+PRINCIPLE Search QUANTITATIVE+RESONANCE+PRINCIPLE
5 SECOND MODULUS OF CONTINUITY 735799 2% 100% 2 Search SECOND+MODULUS+OF+CONTINUITY Search SECOND+MODULUS+OF+CONTINUITY
6 SPACE TIME RANDOM WALK 735799 2% 100% 2 Search SPACE+TIME+RANDOM+WALK Search SPACE+TIME+RANDOM+WALK
7 SPACE TIME WIENER PROCESS 735799 2% 100% 2 Search SPACE+TIME+WIENER+PROCESS Search SPACE+TIME+WIENER+PROCESS
8 RESONANCE PRINCIPLE 490531 2% 67% 2 Search RESONANCE+PRINCIPLE Search RESONANCE+PRINCIPLE
9 AVERAGED MODULUS OF SMOOTHNESS 367900 1% 100% 1 Search AVERAGED+MODULUS+OF+SMOOTHNESS Search AVERAGED+MODULUS+OF+SMOOTHNESS
10 BEST WEIGHTED ALGEBRAIC APPROXIMATION 367900 1% 100% 1 Search BEST+WEIGHTED+ALGEBRAIC+APPROXIMATION Search BEST+WEIGHTED+ALGEBRAIC+APPROXIMATION

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 GOEBBELS, SJ , (2013) A SHARP ERROR ESTIMATE FOR NUMERICAL FOURIER TRANSFORM OF BAND-LIMITED FUNCTIONS BASED ON WINDOWED SAMPLES.ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN. VOL. 32. ISSUE 4. P. 371-387 9 64% 0
2 GOEBBELS, S , (2014) ON THE SHARPNESS OF AN ERROR BOUND FOR A GALERKIN METHOD TO SOLVE PARABOLIC DIFFERENTIAL EQUATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 410. ISSUE 2. P. 967-978 6 75% 0
3 BOCHE, H , POHL, V , (2016) ON THE STRONG DIVERGENCE OF HILBERT TRANSFORM APPROXIMATIONS AND A PROBLEM OF UL'YANOV.JOURNAL OF APPROXIMATION THEORY. VOL. 204. ISSUE . P. 34 -60 5 71% 0
4 ZHOU, SP , (1993) A CONSTRUCTIVE METHOD RELATED TO GENERALIZATIONS OF THE UNIFORM BOUNDEDNESS PRINCIPLE AND ITS APPLICATIONS.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 14. ISSUE 1-2. P. 195-212 7 88% 1
5 KONYAGIN, SV , (1997) DIVERGENCE ALMOST EVERYWHERE OF A POINTWISE COMPARISON OF TWO SEQUENCES OF LINEAR OPERATORS.JOURNAL OF APPROXIMATION THEORY. VOL. 90. ISSUE 3. P. 379-384 4 100% 0
6 VANWICKEREN, E , (1987) A BAIRE APPROACH TO QUANTITATIVE RESONANCE PRINCIPLES.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 9. ISSUE 1-2. P. 147 -180 7 88% 6
7 GOEBBELS, SJ , (2013) A SHARP ERROR BOUND IN TERMS OF AN AVERAGED MODULUS OF SMOOTHNESS FOR FOURIER LAGRANGE COEFFICIENTS.RESULTS IN MATHEMATICS. VOL. 63. ISSUE 1-2. P. 311-327 3 75% 2
8 BOURASS, AH , FERRAHI, B , SCHREIBER, BM , VELASCO, MV , (2005) A RANDOM MULTIVALUED UNIFORM BOUNDEDNESS PRINCIPLE.SET-VALUED ANALYSIS. VOL. 13. ISSUE 2. P. 105 -124 4 67% 1
9 BUTTGENBACH, B , ESSER, H , NESSEL, RJ , (1993) ON THE COMPARISON OF ERROR-BOUNDS FOR FINITE-DIFFERENCE SCHEMES.NUMERISCHE MATHEMATIK. VOL. 64. ISSUE 4. P. 477-486 4 100% 0
10 HARDTKE, JD , (2013) A REMARK ON CONDENSATION OF SINGULARITIES.JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY. VOL. 9. ISSUE 4. P. 448-454 2 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 24647 MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS
2 24267 GENERALIZED MODULUS OF CONTINUITY//JACKSONS INEQUALITY//JACKSON INEQUALITY
3 36081 INGN ERVORIOS//ADAPTIVE IMPLICIT METHOD//CONVOLUTIONAL INTEGRAL
4 13296 FREUD WEIGHTS//HERMITE FEJER INTERPOLATION//ERDOS WEIGHTS
5 21405 LINEABILITY//SPACEABILITY//ALGEBRABILITY
6 12574 GENERALIZED SAMPLING//AVERAGE SAMPLING//SAMPLING THEOREM
7 20713 ALGEBRA GEOMETRIA TOPOL//INNER IDEAL//SEMIPRIME ALGEBRA
8 32188 SHEPARD OPERATOR//COMBINED SHEPARD OPERATORS//SHEPARD METHOD
9 32718 LINEAR POLARIZATION CONSTANTS//POLARIZATION CONSTANT//PRODUCT OF LINEAR FUNCTIONALS
10 30340 LOCALLY CONVEX CONES//WEAK CONVERGENCE OF VECTOR MEASURES//46A55

Go to start page