Class information for:
Level 1: MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
24647 305 16.8 28%


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
24647 1                   MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS 305

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 MODULI OF SMOOTHNESS authKW 995233 9% 38% 26
2 K FUNCTIONAL authKW 836618 13% 21% 39
3 MODULUS OF SMOOTHNESS authKW 771504 11% 23% 34
4 DINI SMOOTH CURVE authKW 613205 2% 88% 7
5 DIRECT THEOREM authKW 608792 5% 41% 15
6 CAUCHY SINGULAR OPERATOR authKW 500577 2% 100% 5
7 SMIRNOV ORLICZ CLASS authKW 500577 2% 100% 5
8 FOURIER LAPLACE SERIES authKW 408799 2% 58% 7
9 FRACTIONAL MODULUS OF SMOOTHNESS authKW 400462 1% 100% 4
10 INVERSE THEOREMS authKW 384737 5% 27% 14

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 11577 83% 0% 253
2 Mathematics, Applied 2617 37% 0% 113
3 Multidisciplinary Sciences 45 2% 0% 7
4 Computer Science, Theory & Methods 35 4% 0% 11
5 Physics, Mathematical 10 2% 0% 7
6 Mathematics, Interdisciplinary Applications 8 2% 0% 5
7 Computer Science, Software Engineering 4 1% 0% 4
8 Statistics & Probability 3 1% 0% 4
9 Computer Science, Interdisciplinary Applications -1 0% 0% 1
10 Physics, Multidisciplinary -1 1% 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 EQUIPE ANAL HARMON PROBABIL 200231 1% 100% 2
2 AG FUNKT ANAL 100115 0% 100% 1
3 BLACK SEA 100115 0% 100% 1
4 UPMINSPEM 100115 0% 100% 1
5 SEVASTOPOL BRANCH 100113 1% 50% 2
6 MATH STAT SCI 53929 12% 1% 37
7 SUB MATH ANAL THEORY FUNCT 50057 0% 50% 1
8 METROL COMPUTAT SCI 36036 1% 12% 3
9 AG ALGEBRA 33370 0% 33% 1
10 AG 5 25027 0% 25% 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 40143 12% 1% 37
2 MATHEMATICAL NOTES 11560 8% 0% 24
3 CONSTRUCTIVE APPROXIMATION 10052 3% 1% 10
4 ACTA MATHEMATICA HUNGARICA 7609 5% 1% 15
5 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 7513 3% 1% 8
6 JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS 6713 3% 1% 10
7 GLASNIK MATEMATICKI 6060 1% 2% 4
8 ACTA SCIENTIARUM MATHEMATICARUM 5441 1% 1% 4
9 GEORGIAN MATHEMATICAL JOURNAL 5327 2% 1% 5
10 SBORNIK MATHEMATICS 5231 3% 1% 9

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 MODULI OF SMOOTHNESS 995233 9% 38% 26 Search MODULI+OF+SMOOTHNESS Search MODULI+OF+SMOOTHNESS
2 K FUNCTIONAL 836618 13% 21% 39 Search K+FUNCTIONAL Search K+FUNCTIONAL
3 MODULUS OF SMOOTHNESS 771504 11% 23% 34 Search MODULUS+OF+SMOOTHNESS Search MODULUS+OF+SMOOTHNESS
4 DINI SMOOTH CURVE 613205 2% 88% 7 Search DINI+SMOOTH+CURVE Search DINI+SMOOTH+CURVE
5 DIRECT THEOREM 608792 5% 41% 15 Search DIRECT+THEOREM Search DIRECT+THEOREM
6 CAUCHY SINGULAR OPERATOR 500577 2% 100% 5 Search CAUCHY+SINGULAR+OPERATOR Search CAUCHY+SINGULAR+OPERATOR
7 SMIRNOV ORLICZ CLASS 500577 2% 100% 5 Search SMIRNOV+ORLICZ+CLASS Search SMIRNOV+ORLICZ+CLASS
8 FOURIER LAPLACE SERIES 408799 2% 58% 7 Search FOURIER+LAPLACE+SERIES Search FOURIER+LAPLACE+SERIES
9 FRACTIONAL MODULUS OF SMOOTHNESS 400462 1% 100% 4 Search FRACTIONAL+MODULUS+OF+SMOOTHNESS Search FRACTIONAL+MODULUS+OF+SMOOTHNESS
10 INVERSE THEOREMS 384737 5% 27% 14 Search INVERSE+THEOREMS Search INVERSE+THEOREMS

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 JAFAROV, SZ , (2015) APPROXIMATION BY TRIGONOMETRIC POLYNOMIALS IN REARRANGEMENT INVARIANT QUASI BANACH FUNCTION SPACES.MEDITERRANEAN JOURNAL OF MATHEMATICS. VOL. 12. ISSUE 1. P. 37 -50 17 85% 1
2 JAFAROV, SZ , (2016) ON MODULI OF SMOOTHNESS AND APPROXIMATION BY TRIGONOMETRIC POLYNOMIALS IN WEIGHTED LORENTZ SPACES.HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS. VOL. 45. ISSUE 6. P. 1675 -1684 13 93% 0
3 DITZIAN, Z , (2014) NEW MODULI OF SMOOTHNESS ON THE UNIT BALL AND OTHER DOMAINS, INTRODUCTION AND MAIN PROPERTIES.CONSTRUCTIVE APPROXIMATION. VOL. 40. ISSUE 1. P. 1 -36 12 92% 0
4 DAI, F , DITZIAN, Z , TIKHONOV, S , (2008) SHARP JACKSON INEQUALITIES.JOURNAL OF APPROXIMATION THEORY. VOL. 151. ISSUE 1. P. 86-112 12 100% 11
5 AKGUN, R , (2012) APPROXIMATING POLYNOMIALS FOR FUNCTIONS OF WEIGHTED SMIRNOV-ORLICZ SPACES.JOURNAL OF FUNCTION SPACES AND APPLICATIONS. VOL. . ISSUE . P. - 12 92% 1
6 DITZIAN, Z , PRYMAK, A , (2011) CONVEXITY, MODULI OF SMOOTHNESS AND A JACKSON-TYPE INEQUALITY.ACTA MATHEMATICA HUNGARICA. VOL. 130. ISSUE 3. P. 254 -285 12 92% 2
7 JAFAROV, SZ , (2013) APPROXIMATION BY FEJER SUMS OF FOURIER TRIGONOMETRIC SERIES IN WEIGHTED ORLICZ SPACES.HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS. VOL. 42. ISSUE 3. P. 259-268 11 92% 1
8 JAFAROV, SZ , MAMEDKHANOV, JI , (2012) ON APPROXIMATION BY TRIGONOMETRIC POLYNOMIALS IN ORLICZ SPACES.GEORGIAN MATHEMATICAL JOURNAL. VOL. 19. ISSUE 4. P. 687-695 11 92% 1
9 RUKASOV, V , RUNOVSKI, K , SCHMEISSER, HJ , (2011) APPROXIMATION BY FAMILIES OF LINEAR TRIGONOMETRIC POLYNOMIAL OPERATORS AND SMOOTHNESS PROPERTIES OF FUNCTIONS.MATHEMATISCHE NACHRICHTEN. VOL. 284. ISSUE 11-12. P. 1523 -1537 10 100% 3
10 JAFAROV, SZ , (2012) ON APPROXIMATION IN WEIGHTED SMIRNOV-ORLICZ CLASSES.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. VOL. 57. ISSUE 5. P. 567 -577 10 91% 3

Classes with closest relation at Level 1


Rank Class id link
1 24267 GENERALIZED MODULUS OF CONTINUITY//JACKSONS INEQUALITY//JACKSON INEQUALITY
2 36311 CONVERGENCE WITH RATES//DIRICHLET PROBLEM CONTINUOUS AND DISCRETE//FIRST AND SECOND MODULI OF CONTINUITY
3 37574 GENERALIZED ZYGMUND CLASSES//ACTA SCIENTIARUM MATHEMATICARUM//EXPANSIONS OF FUNCTIONS
4 23990 MINIMAL PROJECTION//PROJECTION CONSTANTS//COMONOTONE APPROXIMATION
5 33318 POSITIVE TRIGONOMETRIC SUMS//FEJER JACKSON INEQUALITY//RELATIVE WIDTH
6 7274 Q INTEGERS//MODULUS OF CONTINUITY//POSITIVE LINEAR OPERATORS
7 20075 BAND DOMINATED OPERATORS//FREDHOLMNESS//LIMIT OPERATORS
8 18645 MEAN VALUE BOUNDED VARIATION//EMBEDDING RELATIONS//HOLDER METRIC
9 17835 MARTINGALE HARDY SPACE//NUMER ANAL//WALSH KACZMARZ SYSTEM
10 26396 POSITIVE DEFINITE KERNELS//MERCERS THEOREM//FOURIER INVERSION FORMULA

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