Class information for:
Level 1: SIMPLE PARTIAL FRACTION//CHAIR FUNCT ANAL ITS PLICAT//RESTRICTION ON THE POLES

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
37650 52 12.5 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
37650 1                   SIMPLE PARTIAL FRACTION//CHAIR FUNCT ANAL ITS PLICAT//RESTRICTION ON THE POLES 52

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 SIMPLE PARTIAL FRACTION authKW 7046705 23% 100% 12
2 CHAIR FUNCT ANAL ITS PLICAT address 1761676 6% 100% 3
3 RESTRICTION ON THE POLES authKW 1174451 4% 100% 2
4 CHEBYSHEV ALTERNANCE authKW 782966 4% 67% 2
5 ADDITIVE SEMIGROUP authKW 587225 2% 100% 1
6 AMPLITUDE AND FREQUENCY SUM authKW 587225 2% 100% 1
7 APPROXIMATION BY SIMPLEST FRACTIONS OF COMPLEX FUNCTIONS authKW 587225 2% 100% 1
8 BEST APPROXIMATION BY SIMPLE PARTIAL FRACTIONS authKW 587225 2% 100% 1
9 BEST APPROXIMATION OF CONSTANTS authKW 587225 2% 100% 1
10 BEST LOCAL APPROXIMATION BY SIMPLEST FRACTIONS authKW 587225 2% 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 1606 75% 0% 39
2 Multidisciplinary Sciences 1141 25% 0% 13
3 Mathematics, Applied 14 8% 0% 4

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 CHAIR FUNCT ANAL ITS PLICAT 1761676 6% 100% 3
2 FUNCT ANAL ITS PLICAT 195740 2% 33% 1
3 CHEBOTAREV MATH MECH 12764 2% 2% 1
4 MECH MATH 2961 8% 0% 4
5 MAT MECH 1777 2% 0% 1
6 CIENCIES 355 2% 0% 1
7 MATH MECH 165 2% 0% 1
8 MATEMAT 18 2% 0% 1
9 MATH 8 6% 0% 3

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 26565 29% 0% 15
2 DOKLADY AKADEMII NAUK BELARUSI 20469 19% 0% 10
3 SBORNIK MATHEMATICS 18610 13% 0% 7
4 MATHEMATICS OF THE USSR-SBORNIK 7577 6% 0% 3
5 IZVESTIYA MATHEMATICS 5899 6% 0% 3
6 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 5056 6% 0% 3
7 RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS 2863 2% 0% 1
8 SIBERIAN MATHEMATICAL JOURNAL 776 4% 0% 2
9 JOURNAL OF APPROXIMATION THEORY 685 4% 0% 2
10 ACTA MATHEMATICA HUNGARICA 197 2% 0% 1

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 SIMPLE PARTIAL FRACTION 7046705 23% 100% 12 Search SIMPLE+PARTIAL+FRACTION Search SIMPLE+PARTIAL+FRACTION
2 RESTRICTION ON THE POLES 1174451 4% 100% 2 Search RESTRICTION+ON+THE+POLES Search RESTRICTION+ON+THE+POLES
3 CHEBYSHEV ALTERNANCE 782966 4% 67% 2 Search CHEBYSHEV+ALTERNANCE Search CHEBYSHEV+ALTERNANCE
4 ADDITIVE SEMIGROUP 587225 2% 100% 1 Search ADDITIVE+SEMIGROUP Search ADDITIVE+SEMIGROUP
5 AMPLITUDE AND FREQUENCY SUM 587225 2% 100% 1 Search AMPLITUDE+AND+FREQUENCY+SUM Search AMPLITUDE+AND+FREQUENCY+SUM
6 APPROXIMATION BY SIMPLEST FRACTIONS OF COMPLEX FUNCTIONS 587225 2% 100% 1 Search APPROXIMATION+BY+SIMPLEST+FRACTIONS+OF+COMPLEX+FUNCTIONS Search APPROXIMATION+BY+SIMPLEST+FRACTIONS+OF+COMPLEX+FUNCTIONS
7 BEST APPROXIMATION BY SIMPLE PARTIAL FRACTIONS 587225 2% 100% 1 Search BEST+APPROXIMATION+BY+SIMPLE+PARTIAL+FRACTIONS Search BEST+APPROXIMATION+BY+SIMPLE+PARTIAL+FRACTIONS
8 BEST APPROXIMATION OF CONSTANTS 587225 2% 100% 1 Search BEST+APPROXIMATION+OF+CONSTANTS Search BEST+APPROXIMATION+OF+CONSTANTS
9 BEST LOCAL APPROXIMATION BY SIMPLEST FRACTIONS 587225 2% 100% 1 Search BEST+LOCAL+APPROXIMATION+BY+SIMPLEST+FRACTIONS Search BEST+LOCAL+APPROXIMATION+BY+SIMPLEST+FRACTIONS
10 BEST UNIFORM APPROXIMATION OF A REAL CONSTANT 587225 2% 100% 1 Search BEST+UNIFORM+APPROXIMATION+OF+A+REAL+CONSTANT Search BEST+UNIFORM+APPROXIMATION+OF+A+REAL+CONSTANT

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 CHUNAEV, P , (2014) LEAST DEVIATION OF LOGARITHMIC DERIVATIVES OF ALGEBRAIC POLYNOMIALS FROM ZERO.JOURNAL OF APPROXIMATION THEORY. VOL. 185. ISSUE . P. 98 -106 9 100% 0
2 KOMAROV, MA , (2015) A CRITERION FOR THE BEST UNIFORM APPROXIMATION BY SIMPLE PARTIAL FRACTIONS IN TERMS OF ALTERNANCE.IZVESTIYA MATHEMATICS. VOL. 79. ISSUE 3. P. 431 -448 7 100% 0
3 DANCHENKO, VI , (2010) CONVERGENCE OF SIMPLE PARTIAL FRACTIONS IN L-P(R).SBORNIK MATHEMATICS. VOL. 201. ISSUE 7. P. 985 -997 6 100% 3
4 BORODIN, PA , (2009) APPROXIMATION BY SIMPLE PARTIAL FRACTIONS ON THE SEMI-AXIS.SBORNIK MATHEMATICS. VOL. 200. ISSUE 7-8. P. 1127 -1148 6 100% 5
5 BORODIN, PA , (2014) DENSITY OF A SEMIGROUP IN A BANACH SPACE.IZVESTIYA MATHEMATICS. VOL. 78. ISSUE 6. P. 1079 -1104 6 75% 1
6 BORODIN, PA , (2012) APPROXIMATION BY SIMPLE PARTIAL FRACTIONS WITH CONSTRAINTS ON THE POLES.SBORNIK MATHEMATICS. VOL. 203. ISSUE 11. P. 1553 -1570 4 100% 2
7 DANCHENKO, VI , SEMIN, LA , (2016) SHARP QUADRATURE FORMULAS AND INEQUALITIES BETWEEN VARIOUS METRICS FOR RATIONAL FUNCTIONS.SIBERIAN MATHEMATICAL JOURNAL. VOL. 57. ISSUE 2. P. 218 -229 6 60% 0
8 DANCHENKO, VI , KONDAKOVA, EN , (2010) CHEBYSHEV'S ALTERNANCE IN THE APPROXIMATION OF CONSTANTS BY SIMPLE PARTIAL FRACTIONS.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 270. ISSUE 1. P. 80-90 4 100% 5
9 CHUNAEV, PV , (2010) ON A NONTRADITIONAL METHOD OF APPROXIMATION.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 270. ISSUE 1. P. 278-284 4 100% 2
10 DANCHENKO, VI , (2006) ESTIMATES OF DERIVATIVES OF SIMPLEST FRACTIONS AND OTHER QUESTIONS.SBORNIK MATHEMATICS. VOL. 197. ISSUE 3-4. P. 505-524 4 100% 2

Classes with closest relation at Level 1



Rank Class id link
1 17152 INEQUALITIES IN THE COMPLEX DOMAIN//MARKOV TYPE INEQUALITY//POLAR DERIVATIVE
2 20588 QUASI GREEDY BASIS//THRESHOLDING GREEDY ALGORITHM//BEST M TERM APPROXIMATION
3 20975 FARTHEST POINT//CHEBYSHEV SET//REMOTAL SET
4 20075 BAND DOMINATED OPERATORS//FREDHOLMNESS//LIMIT OPERATORS
5 14793 CONTINUUM//HYPERSPACE//DENDROID
6 18693 CARLEMAN MATRIX//NEVANLINNA DOMAIN//POLYNOMIAL APPROXIMATION IN 2 SPACE
7 5428 VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//FREDHOLM INTEGRAL EQUATION
8 16438 ORTHOGONAL RATIONAL FUNCTIONS//SZEGO POLYNOMIALS//ORTHOGONAL LAURENT POLYNOMIALS
9 14984 GEOMATH GRP//SPHERICAL DESIGNS//EUCLIDEAN DESIGN
10 7734 WAVELET GALERKIN METHOD//WAVELETS//TRIGONOMETRIC WAVELETS

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