Class information for:
Level 2: MODULUS OF CONTINUITY//JOURNAL OF APPROXIMATION THEORY//MODULUS OF SMOOTHNESS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2288 4575 15.5 26%


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
7274 1                   Q INTEGERS//MODULUS OF CONTINUITY//POSITIVE LINEAR OPERATORS 1387
17152 1                   INEQUALITIES IN THE COMPLEX DOMAIN//MARKOV TYPE INEQUALITY//POLAR DERIVATIVE 614
20075 1                   BAND DOMINATED OPERATORS//FREDHOLMNESS//LIMIT OPERATORS 477
20588 1                   QUASI GREEDY BASIS//THRESHOLDING GREEDY ALGORITHM//BEST M TERM APPROXIMATION 453
23990 1                   MINIMAL PROJECTION//PROJECTION CONSTANTS//COMONOTONE APPROXIMATION 327
24267 1                   GENERALIZED MODULUS OF CONTINUITY//JACKSONS INEQUALITY//JACKSON INEQUALITY 318
24647 1                   MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS 305
28514 1                   STECHKINS PROBLEM//FAA DI BRUNOS FORMULA//DIFFERENTIATION OF COMPOSITE FUNCTIONS 205
33318 1                   POSITIVE TRIGONOMETRIC SUMS//FEJER JACKSON INEQUALITY//RELATIVE WIDTH 126
33922 1                   COPPER ELECTROPLATING METHOD//ELECTRICAL RESISTANCE ACCUMULATION//POLYCRYSTALLINE CONSTANTAN 118
34512 1                   EDPNL HIST MATH//NON REGULAR DOMAINS//PROBLEMS WITHOUT INITIAL CONDITION 110
36311 1                   CONVERGENCE WITH RATES//DIRICHLET PROBLEM CONTINUOUS AND DISCRETE//FIRST AND SECOND MODULI OF CONTINUITY 83
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 MODULUS OF CONTINUITY authKW 678532 5% 48% 213
2 JOURNAL OF APPROXIMATION THEORY journal 549077 12% 16% 530
3 MODULUS OF SMOOTHNESS authKW 509228 2% 71% 107
4 K FUNCTIONAL authKW 501784 3% 64% 117
5 Q INTEGERS authKW 487847 2% 96% 76
6 POSITIVE LINEAR OPERATORS authKW 397788 2% 56% 107
7 BERNSTEIN OPERATORS authKW 324736 1% 72% 68
8 DEGREE OF APPROXIMATION authKW 284545 2% 55% 77
9 MODULI OF SMOOTHNESS authKW 265305 1% 76% 52
10 LINEAR POSITIVE OPERATORS authKW 258572 1% 82% 47

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 144007 76% 1% 3463
2 Mathematics, Applied 38152 37% 0% 1672
3 Multidisciplinary Sciences 1771 4% 0% 163
4 Computer Science, Software Engineering 106 2% 0% 74
5 Computer Science, Theory & Methods 77 2% 0% 84
6 Materials Science, Characterization, Testing 40 1% 0% 24
7 Physics, Mathematical 29 1% 0% 66
8 Statistics & Probability 27 1% 0% 53
9 METALLURGY & MINING 3 0% 0% 2
10 Engineering, Mechanical 2 1% 0% 54

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 HBEREICH MND 107638 0% 73% 22
2 HH GIESSEN FRIEDBERG 62267 0% 67% 14
3 SECT DWARKA 3 51322 0% 77% 10
4 MATEMAT LICADA ESTADIST INVEST OPERAT 33223 0% 29% 17
5 MATH 31487 31% 0% 1434
6 INT MATH 27800 0% 83% 5
7 POST MATH STAT 21350 0% 80% 4
8 CHAIR FUNCT ANAL ITS PLICAT 20017 0% 100% 3
9 EDPNL HIST MATH 20017 0% 100% 3
10 MATH GAZIMAGUSA 15012 0% 75% 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 JOURNAL OF APPROXIMATION THEORY 549077 12% 16% 530
2 MATHEMATICAL NOTES 84814 6% 5% 252
3 CONSTRUCTIVE APPROXIMATION 72419 2% 10% 104
4 UKRAINIAN MATHEMATICAL JOURNAL 56507 2% 9% 91
5 SBORNIK MATHEMATICS 23509 2% 5% 74
6 ACTA MATHEMATICA HUNGARICA 22434 2% 3% 100
7 JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS 19420 1% 4% 66
8 ANALYSIS MATHEMATICA 18630 0% 14% 20
9 RESULTS IN MATHEMATICS 18319 1% 6% 44
10 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 17932 1% 6% 48

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 MODULUS OF CONTINUITY 678532 5% 48% 213 Search MODULUS+OF+CONTINUITY Search MODULUS+OF+CONTINUITY
2 MODULUS OF SMOOTHNESS 509228 2% 71% 107 Search MODULUS+OF+SMOOTHNESS Search MODULUS+OF+SMOOTHNESS
3 K FUNCTIONAL 501784 3% 64% 117 Search K+FUNCTIONAL Search K+FUNCTIONAL
4 Q INTEGERS 487847 2% 96% 76 Search Q+INTEGERS Search Q+INTEGERS
5 POSITIVE LINEAR OPERATORS 397788 2% 56% 107 Search POSITIVE+LINEAR+OPERATORS Search POSITIVE+LINEAR+OPERATORS
6 BERNSTEIN OPERATORS 324736 1% 72% 68 Search BERNSTEIN+OPERATORS Search BERNSTEIN+OPERATORS
7 DEGREE OF APPROXIMATION 284545 2% 55% 77 Search DEGREE+OF+APPROXIMATION Search DEGREE+OF+APPROXIMATION
8 MODULI OF SMOOTHNESS 265305 1% 76% 52 Search MODULI+OF+SMOOTHNESS Search MODULI+OF+SMOOTHNESS
9 LINEAR POSITIVE OPERATORS 258572 1% 82% 47 Search LINEAR+POSITIVE+OPERATORS Search LINEAR+POSITIVE+OPERATORS
10 SIMULTANEOUS APPROXIMATION 250185 2% 49% 76 Search SIMULTANEOUS+APPROXIMATION Search SIMULTANEOUS+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 OSTROVSKA, S , (2016) THE Q-VERSIONS OF THE BERNSTEIN OPERATOR: FROM MERE ANALOGIES TO FURTHER DEVELOPMENTS.RESULTS IN MATHEMATICS. VOL. 69. ISSUE 3-4. P. 275 -295 43 93% 0
2 GOVIL, NK , MOHAPATRA, RN , (1999) MARKOV AND BERNSTEIN TYPE INEQUALITIES FOR POLYNOMIALS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. 3. ISSUE 4. P. 349 -387 37 86% 8
3 CASTEJON, A , LEWICKI, G , (2014) SUBSPACES OF CODIMENSION TWO WITH LARGE PROJECTION CONSTANTS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 420. ISSUE 2. P. 1391 -1407 21 100% 1
4 ERDELYI, T , (2010) GEORGE LORENTZ AND INEQUALITIES IN APPROXIMATION.ST PETERSBURG MATHEMATICAL JOURNAL. VOL. 21. ISSUE 3. P. 365-405 40 56% 4
5 LEWICKI, G , PROPHET, M , (2007) MINIMAL MULTI-CONVEX PROJECTIONS.STUDIA MATHEMATICA. VOL. 178. ISSUE 2. P. 99-124 25 93% 2
6 MEISSNER, J , (2010) MINIMAL MULTI-CONVEX PROJECTIONS ONTO SUBSPACES OF INCOMPLETE ALGEBRAIC POLYNOMIALS.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 31. ISSUE 9. P. 1035-1052 23 92% 0
7 ANGELONI, L , VINTI, G , (2016) A REVIEW ON APPROXIMATION RESULTS FOR INTEGRAL OPERATORS IN THE SPACE OF FUNCTIONS OF BOUNDED VARIATION.JOURNAL OF FUNCTION SPACES. VOL. . ISSUE . P. - 19 95% 0
8 ERENCIN, A , RASA, I , (2016) VORONOVSKAYA TYPE THEOREMS IN WEIGHTED SPACES.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 37. ISSUE 12. P. 1517 -1528 18 95% 0
9 OZARSLAN, MA , (2016) NEW KOROVKIN TYPE THEOREM FOR NON-TENSOR MEYER-KONIG AND ZELLER OPERATORS.RESULTS IN MATHEMATICS. VOL. 69. ISSUE 3-4. P. 327 -343 17 100% 0
10 MAHMUDOV, NI , (2012) APPROXIMATION BY THE Q-SZASZ-MIRAKJAN OPERATORS.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 18 100% 6

Classes with closest relation at Level 2


Rank Class id link
1 3156 STATISTICAL CONVERGENCE//ABSOLUTE SUMMABILITY//DOUBLE SEQUENCES
2 1193 ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
3 3681 JOURNAL OF APPROXIMATION THEORY//EXISTENCE PROBLEM//POLYA ALGORITHM
4 1602 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES//GABOR FRAMES
5 842 MATHEMATICS//MAXIMAL OPERATOR//BMO
6 3270 JOURNAL OF COMPLEXITY//QUASI MONTE CARLO METHODS//QUASI MONTE CARLO
7 2523 GAMMA FUNCTION//HERMITE HADAMARD INEQUALITY//MATHEMATICAL INEQUALITIES & APPLICATIONS
8 1419 COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN
9 3266 MAHLER MEASURE//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS
10 4006 POTENTIAL TYPE OPERATORS//QUASINORMAL FORM//ANISOTROPIC SINGULAR PERTURBATIONS

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