Class information for:
Level 1: Q INTEGERS//MODULUS OF CONTINUITY//POSITIVE LINEAR OPERATORS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7274 1387 15.7 34%


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

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 Q INTEGERS authKW 1609505 5% 96% 76
2 MODULUS OF CONTINUITY authKW 1426240 12% 38% 170
3 POSITIVE LINEAR OPERATORS authKW 1240012 7% 54% 104
4 BERNSTEIN OPERATORS authKW 1071451 5% 72% 68
5 LINEAR POSITIVE OPERATORS authKW 853112 3% 82% 47
6 BASKAKOV OPERATORS authKW 749077 3% 97% 35
7 SIMULTANEOUS APPROXIMATION authKW 700361 5% 45% 70
8 Q BERNSTEIN POLYNOMIALS authKW 627833 3% 77% 37
9 K FUNCTIONAL authKW 609646 5% 39% 71
10 MODULUS OF SMOOTHNESS authKW 582410 5% 42% 63

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 34276 67% 0% 933
2 Mathematics, Applied 27609 56% 0% 772
3 Computer Science, Software Engineering 358 4% 0% 58
4 Computer Science, Theory & Methods 165 4% 0% 51
5 Computer Science, Interdisciplinary Applications 47 2% 0% 31
6 Multidisciplinary Sciences 38 1% 0% 16
7 Statistics & Probability 18 1% 0% 20
8 Physics, Mathematical 0 1% 0% 12
9 Mathematics, Interdisciplinary Applications 0 1% 0% 8
10 History & Philosophy of Science -0 0% 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 HBEREICH MND 355143 2% 73% 22
2 HH GIESSEN FRIEDBERG 205452 1% 67% 14
3 SECT DWARKA 3 169332 1% 77% 10
4 MATEMAT LICADA ESTADIST INVEST OPERAT 109665 1% 29% 17
5 MATH GAZIMAGUSA 49529 0% 75% 3
6 SECTOR DWARKA 3 44027 0% 100% 2
7 TRNC 29947 1% 9% 16
8 METODOS ESTADIST 29739 1% 10% 13
9 PL MATH HUMANITIES 22710 1% 13% 8
10 MATH 22309 47% 0% 655

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 218342 13% 5% 184
2 RESULTS IN MATHEMATICS 50098 3% 6% 40
3 JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS 36914 4% 3% 50
4 CARPATHIAN JOURNAL OF MATHEMATICS 24193 1% 6% 19
5 MEDITERRANEAN JOURNAL OF MATHEMATICS 20378 2% 3% 29
6 STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA 16194 2% 4% 21
7 APPLIED MATHEMATICS AND COMPUTATION 15395 8% 1% 111
8 JOURNAL OF INEQUALITIES AND APPLICATIONS 15294 3% 1% 48
9 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 13556 2% 2% 34
10 FILOMAT 9271 2% 2% 23

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 Q INTEGERS 1609505 5% 96% 76 Search Q+INTEGERS Search Q+INTEGERS
2 MODULUS OF CONTINUITY 1426240 12% 38% 170 Search MODULUS+OF+CONTINUITY Search MODULUS+OF+CONTINUITY
3 POSITIVE LINEAR OPERATORS 1240012 7% 54% 104 Search POSITIVE+LINEAR+OPERATORS Search POSITIVE+LINEAR+OPERATORS
4 BERNSTEIN OPERATORS 1071451 5% 72% 68 Search BERNSTEIN+OPERATORS Search BERNSTEIN+OPERATORS
5 LINEAR POSITIVE OPERATORS 853112 3% 82% 47 Search LINEAR+POSITIVE+OPERATORS Search LINEAR+POSITIVE+OPERATORS
6 BASKAKOV OPERATORS 749077 3% 97% 35 Search BASKAKOV+OPERATORS Search BASKAKOV+OPERATORS
7 SIMULTANEOUS APPROXIMATION 700361 5% 45% 70 Search SIMULTANEOUS+APPROXIMATION Search SIMULTANEOUS+APPROXIMATION
8 Q BERNSTEIN POLYNOMIALS 627833 3% 77% 37 Search Q+BERNSTEIN+POLYNOMIALS Search Q+BERNSTEIN+POLYNOMIALS
9 K FUNCTIONAL 609646 5% 39% 71 Search K+FUNCTIONAL Search K+FUNCTIONAL
10 MODULUS OF SMOOTHNESS 582410 5% 42% 63 Search MODULUS+OF+SMOOTHNESS Search MODULUS+OF+SMOOTHNESS

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 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
3 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
4 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
5 MAHMUDOV, NI , (2012) APPROXIMATION BY THE Q-SZASZ-MIRAKJAN OPERATORS.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 18 100% 6
6 PHILLIPS, GM , (2010) A SURVEY OF RESULTS ON THE Q-BERNSTEIN POLYNOMIALS.IMA JOURNAL OF NUMERICAL ANALYSIS. VOL. 30. ISSUE 1. P. 277 -288 20 87% 35
7 ABEL, U , IVAN, M , (2011) THE BLEIMANN-BUTZER-HAHN OPERATORS: OLD AND NEW RESULTS.APPLICABLE ANALYSIS. VOL. 90. ISSUE 3-4. P. 483-491 19 95% 0
8 CARDENAS-MORALES, D , GARRANCHO, P , RASA, I , (2014) APPROXIMATION PROPERTIES OF BERNSTEIN-DURRMEYER TYPE OPERATORS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 232. ISSUE . P. 1-8 16 100% 5
9 ICOZ, G , CEKIM, B , (2015) DUNKL GENERALIZATION OF SZASZ OPERATORS VIA Q-CALCULUS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 17 94% 0
10 GAL, SG , GUPTA, V , (2015) APPROXIMATION BY COMPLEX SZASZ-MIRAKYAN-STANCU-DURRMEYER OPERATORS IN COMPACT DISKS UNDER EXPONENTIAL GROWTH.FILOMAT. VOL. 29. ISSUE 5. P. 1127 -1136 16 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 37397 VECTOR LATTICE OF CONTINUOUS FUNCTIONS//ADAPTED SPACE//APPROXIMATION BY POSITIVE OPERATOR
2 32188 SHEPARD OPERATOR//COMBINED SHEPARD OPERATORS//SHEPARD METHOD
3 24647 MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS
4 7562 STATISTICAL CONVERGENCE//DOUBLE SEQUENCES//MATRIX TRANSFORMATIONS
5 36311 CONVERGENCE WITH RATES//DIRICHLET PROBLEM CONTINUOUS AND DISCRETE//FIRST AND SECOND MODULI OF CONTINUITY
6 23990 MINIMAL PROJECTION//PROJECTION CONSTANTS//COMONOTONE APPROXIMATION
7 36653 CLASS SPECIFIC FEATURES//EXPONENTIALLY EMBEDDED FAMILY//EXPONENTIALLY EMBEDDED FAMILY EEF
8 6227 RATIONAL SPLINE//SHAPE PRESERVATION//COMPUTER AIDED GEOMETRIC DESIGN
9 25111 METRIC SEMIGROUP//NEMYTSKII SUPERPOSITION OPERATOR//GENERALIZED BOUNDED VARIATION
10 28282 LIPSCHITZ ALGEBRAS//RECTIFIABLY CONNECTED//QUASICOMPACT

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