Class information for:
Level 1: GENERAL FRANKLIN SYSTEM//INVERSE GRAM MATRIX//ITERATED CUBIC SPLINES

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
24884 298 12.2 22%



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
568 3       COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN 16883
1602 2             APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES//GABOR FRAMES 7120
24884 1                   GENERAL FRANKLIN SYSTEM//INVERSE GRAM MATRIX//ITERATED CUBIC SPLINES 298

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 GENERAL FRANKLIN SYSTEM authKW 819738 3% 100% 8
2 INVERSE GRAM MATRIX authKW 204934 1% 100% 2
3 ITERATED CUBIC SPLINES authKW 204934 1% 100% 2
4 UNCONDITIONAL BASIS authKW 105759 3% 13% 8
5 BANDED SYSTEM OF EQUATIONS authKW 102467 0% 100% 1
6 BASIS IN CT authKW 102467 0% 100% 1
7 BESOV HORMANDER SPACES authKW 102467 0% 100% 1
8 CARDINAL HERMITE SPLINE INTERPOLATION authKW 102467 0% 100% 1
9 CARLESON CONSTANT authKW 102467 0% 100% 1
10 COMPLETE SPLINE authKW 102467 0% 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 7944 70% 0% 208
2 Mathematics, Applied 1786 31% 0% 93
3 Multidisciplinary Sciences 125 4% 0% 11
4 Computer Science, Software Engineering 58 4% 0% 11
5 Engineering, General 7 2% 0% 5
6 Mathematics, Interdisciplinary Applications 2 1% 0% 3
7 Mechanics 1 2% 0% 5
8 Computer Science, Theory & Methods 0 1% 0% 3
9 Physics, Mathematical 0 1% 0% 3
10 Computer Science, Interdisciplinary Applications -0 1% 0% 2

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 FHUC MATEMAT 102467 0% 100% 1
2 ANAL NUMERIK 9313 0% 9% 1
3 ANAL 7720 5% 1% 14
4 MITTAG LEFFLER 6829 0% 7% 1
5 SOBOLEV MATH 2692 2% 1% 5
6 IMAL 1828 0% 2% 1
7 ANGEW MATH STAT 1329 0% 1% 1
8 MATH PL PHYS 1023 0% 1% 1
9 NUMER ANAL 460 0% 0% 1
10 BIOMATH BIOMETRY 355 0% 0% 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 APPROXIMATION THEORY 72094 16% 1% 49
2 JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES 29929 3% 4% 8
3 STUDIA MATHEMATICA 14002 7% 1% 20
4 BIT NUMERICAL MATHEMATICS 4391 3% 1% 8
5 ACTA MATHEMATICA HUNGARICA 2797 3% 0% 9
6 USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 2187 1% 1% 4
7 IZVESTIYA MATHEMATICS 1824 1% 0% 4
8 ISRAEL JOURNAL OF MATHEMATICS 1737 3% 0% 8
9 MATHEMATICAL NOTES 1304 3% 0% 8
10 MATHEMATICS OF COMPUTATION 1254 2% 0% 7

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 GENERAL FRANKLIN SYSTEM 819738 3% 100% 8 Search GENERAL+FRANKLIN+SYSTEM Search GENERAL+FRANKLIN+SYSTEM
2 INVERSE GRAM MATRIX 204934 1% 100% 2 Search INVERSE+GRAM+MATRIX Search INVERSE+GRAM+MATRIX
3 ITERATED CUBIC SPLINES 204934 1% 100% 2 Search ITERATED+CUBIC+SPLINES Search ITERATED+CUBIC+SPLINES
4 UNCONDITIONAL BASIS 105759 3% 13% 8 Search UNCONDITIONAL+BASIS Search UNCONDITIONAL+BASIS
5 BANDED SYSTEM OF EQUATIONS 102467 0% 100% 1 Search BANDED+SYSTEM+OF+EQUATIONS Search BANDED+SYSTEM+OF+EQUATIONS
6 BASIS IN CT 102467 0% 100% 1 Search BASIS+IN+CT Search BASIS+IN+CT
7 BESOV HORMANDER SPACES 102467 0% 100% 1 Search BESOV+HORMANDER+SPACES Search BESOV+HORMANDER+SPACES
8 CARDINAL HERMITE SPLINE INTERPOLATION 102467 0% 100% 1 Search CARDINAL+HERMITE+SPLINE+INTERPOLATION Search CARDINAL+HERMITE+SPLINE+INTERPOLATION
9 CARLESON CONSTANT 102467 0% 100% 1 Search CARLESON+CONSTANT Search CARLESON+CONSTANT
10 COMPLETE SPLINE 102467 0% 100% 1 Search COMPLETE+SPLINE Search COMPLETE+SPLINE

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 VOLKOV, YS , SUBBOTIN, YN , (2015) FIFTY YEARS OF SCHOENBERG'S PROBLEM ON THE CONVERGENCE OF SPLINE INTERPOLATION.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 288. ISSUE . P. S222 -S237 20 91% 0
2 PENTEKER, J , (2015) POSTORDER REARRANGEMENT OPERATORS.QUARTERLY JOURNAL OF MATHEMATICS. VOL. 66. ISSUE 4. P. 1103 -1126 9 90% 0
3 GEVORKYAN, G , KAMONT, A , KERYAN, K , PASSENBRUNNER, M , (2015) UNCONDITIONALITY OF ORTHOGONAL SPLINE SYSTEMS IN H-1.STUDIA MATHEMATICA. VOL. 226. ISSUE 2. P. 123 -154 7 100% 1
4 LECHNER, R , MULLER, PFX , (2015) LOCALIZATION AND PROJECTIONS ON BI-PARAMETER BMO.QUARTERLY JOURNAL OF MATHEMATICS. VOL. 66. ISSUE 4. P. 1069 -1101 9 75% 0
5 KERYAN, KA , (2016) ON UNCONDITIONAL BASIS PROPERTY IN THE SPACE H (1)(R) OF A SYSTEM OF FRANKLIN FUNCTIONS WITH VANISHING MEANS.JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES. VOL. 51. ISSUE 6. P. 296 -315 6 100% 0
6 PITTALUGA, G , SACRIPANTE, L , (1996) QUINTIC SPLINE INTERPOLATION ON UNIFORM MESHES.ACTA MATHEMATICA HUNGARICA. VOL. 72. ISSUE 3. P. 167-175 9 100% 0
7 GEVORKYAN, GG , (2014) GENERAL FRANKLIN SYSTEM AS A BASIS IN B-1[0,1].IZVESTIYA MATHEMATICS. VOL. 78. ISSUE 6. P. 1120 -1137 5 100% 0
8 MULLER, PFX , (2012) EXTRAPOLATION OF VECTOR-VALUED REARRANGEMENT OPERATORS II.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 85. ISSUE . P. 722-736 6 86% 1
9 GEVORKYAN, GG , (2013) ON SERIES BY GENERAL FRANKLIN SYSTEM.JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES. VOL. 48. ISSUE 5. P. 189-208 5 100% 1
10 GAWRONSKI, W , NEUSCHEL, T , (2013) EULER-FROBENIUS NUMBERS.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 24. ISSUE 10. P. 817-830 5 100% 1

Classes with closest relation at Level 1



Rank Class id link
1 17000 NON POLYNOMIAL SPLINE//SINGULAR TWO POINT BOUNDARY VALUE PROBLEMS//END CONDITIONS
2 18253 NEVILLE ELIMINATION//TOTALLY POSITIVE MATRICES//TOTALLY POSITIVE MATRIX
3 20588 QUASI GREEDY BASIS//THRESHOLDING GREEDY ALGORITHM//BEST M TERM APPROXIMATION
4 13996 CAUCHY PRINCIPAL VALUE INTEGRALS//CAUCHY SINGULAR INTEGRAL EQUATION//FINITE PART INTEGRAL
5 12607 STRICTLY SINGULAR OPERATOR//SZLENK INDEX//KRUGLOV PROPERTY
6 4187 MULTIWAVELETS//REFINEMENT EQUATION//REFINABLE FUNCTIONS
7 5559 RIESZ TRANSFORM//SPECTRAL MULTIPLIERS//HARDY SPACE
8 36121 BOUNDARY BEHAVIOR OF HOLOMORPHIC FUNCTIONS//RADON INVERSION PROBLEM//WEAK RESOLVENT
9 28282 LIPSCHITZ ALGEBRAS//RECTIFIABLY CONNECTED//QUASICOMPACT
10 29071 DYNAMICAL SYSTEMS METHOD DSM//INTEGRO INTERPOLATION//NUMERICAL DIFFERENTIATION

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