Class information for:
Level 1: GENERALIZED MODULUS OF CONTINUITY//JACKSONS INEQUALITY//JACKSON INEQUALITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
24267 318 14.6 15%


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
24267 1                   GENERALIZED MODULUS OF CONTINUITY//JACKSONS INEQUALITY//JACKSON INEQUALITY 318

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 GENERALIZED MODULUS OF CONTINUITY authKW 1254694 4% 93% 14
2 JACKSONS INEQUALITY authKW 472721 3% 62% 8
3 JACKSON INEQUALITY authKW 436456 3% 45% 10
4 JACKSON STECHKIN INEQUALITY authKW 400093 2% 83% 5
5 KOLMOGOROV N WIDTH authKW 313666 2% 47% 7
6 STEKLOV FUNCTION authKW 300067 2% 63% 5
7 FOURIER BESSEL INTEGRAL TRANSFORM authKW 288068 1% 100% 3
8 THE SPACE L 2 authKW 256058 1% 67% 4
9 JACKSON TYPE INEQUALITY authKW 230447 2% 40% 6
10 ENTIRE FUNCTION OF EXPONENTIAL TYPE authKW 203334 2% 35% 6

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 9447 74% 0% 234
2 Mathematics, Applied 1663 29% 0% 93
3 Multidisciplinary Sciences 1472 12% 0% 37
4 Physics, Mathematical 89 5% 0% 17
5 METALLURGY & MINING 87 1% 0% 2
6 Mechanics 19 4% 0% 12
7 Mathematics, Interdisciplinary Applications 0 1% 0% 2
8 Automation & Control Systems -0 0% 0% 1
9 Computer Science, Software Engineering -0 0% 0% 1
10 Statistics & Probability -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 ANAL FUNC 96023 0% 100% 1
2 ECOLE POLYTECH MONTREAL MATH PL 96023 0% 100% 1
3 GEOTECHNOL MECH 96023 0% 100% 1
4 DORODNICYN COMP 22315 4% 2% 12
5 MATH GENIE IND 14201 2% 2% 7
6 MATH MECH 7857 5% 0% 17
7 CEAF 5647 0% 6% 1
8 VORONEZH 5333 0% 6% 1
9 BULGARIAN SCI 4799 0% 5% 1
10 INFORMAT MATEMAT 1332 0% 1% 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 MATHEMATICAL NOTES 89240 21% 1% 68
2 UKRAINIAN MATHEMATICAL JOURNAL 56680 8% 2% 24
3 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 25299 5% 2% 15
4 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 11751 5% 1% 15
5 ANALYSIS MATHEMATICA 10736 1% 3% 4
6 VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA 7512 3% 1% 9
7 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 5871 3% 1% 8
8 DOKLADY AKADEMII NAUK SSSR 5750 11% 0% 36
9 SBORNIK MATHEMATICS 3962 3% 1% 8
10 DOKLADY MATHEMATICS 3125 3% 0% 10

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 GENERALIZED MODULUS OF CONTINUITY 1254694 4% 93% 14 Search GENERALIZED+MODULUS+OF+CONTINUITY Search GENERALIZED+MODULUS+OF+CONTINUITY
2 JACKSONS INEQUALITY 472721 3% 62% 8 Search JACKSONS+INEQUALITY Search JACKSONS+INEQUALITY
3 JACKSON INEQUALITY 436456 3% 45% 10 Search JACKSON+INEQUALITY Search JACKSON+INEQUALITY
4 JACKSON STECHKIN INEQUALITY 400093 2% 83% 5 Search JACKSON+STECHKIN+INEQUALITY Search JACKSON+STECHKIN+INEQUALITY
5 KOLMOGOROV N WIDTH 313666 2% 47% 7 Search KOLMOGOROV+N+WIDTH Search KOLMOGOROV+N+WIDTH
6 STEKLOV FUNCTION 300067 2% 63% 5 Search STEKLOV+FUNCTION Search STEKLOV+FUNCTION
7 FOURIER BESSEL INTEGRAL TRANSFORM 288068 1% 100% 3 Search FOURIER+BESSEL+INTEGRAL+TRANSFORM Search FOURIER+BESSEL+INTEGRAL+TRANSFORM
8 THE SPACE L 2 256058 1% 67% 4 Search THE+SPACE+L+2 Search THE+SPACE+L+2
9 JACKSON TYPE INEQUALITY 230447 2% 40% 6 Search JACKSON+TYPE+INEQUALITY Search JACKSON+TYPE+INEQUALITY
10 ENTIRE FUNCTION OF EXPONENTIAL TYPE 203334 2% 35% 6 Search ENTIRE+FUNCTION+OF+EXPONENTIAL+TYPE Search ENTIRE+FUNCTION+OF+EXPONENTIAL+TYPE

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 GORBACHEV, DV , IVANOV, VI , (2016) APPROXIMATION IN L (2) BY PARTIAL INTEGRALS OF THE FOURIER TRANSFORM OVER THE EIGENFUNCTIONS OF THE STURM-LIOUVILLE OPERATOR.MATHEMATICAL NOTES. VOL. 100. ISSUE 3-4. P. 540 -549 11 100% 0
2 SHABOZOV, MS , YUSUPOV, GA , (2011) EXACT CONSTANTS IN JACKSON-TYPE INEQUALITIES AND EXACT VALUES OF THE WIDTHS OF SOME CLASSES OF FUNCTIONS IN L (2).SIBERIAN MATHEMATICAL JOURNAL. VOL. 52. ISSUE 6. P. 1124-1136 10 100% 1
3 VAKARCHUK, SB , ZABUTNAYA, VI , (2016) INEQUALITIES BETWEEN BEST POLYNOMIAL APPROXIMATIONS AND SOME SMOOTHNESS CHARACTERISTICS IN THE SPACE L (2) AND WIDTHS OF CLASSES OF FUNCTIONS.MATHEMATICAL NOTES. VOL. 99. ISSUE 1-2. P. 222 -242 9 90% 0
4 SHABOZOV, MS , TUKHLIEV, K , (2013) BEST POLYNOMIAL APPROXIMATIONS AND THE WIDTHS OF FUNCTION CLASSES IN L-2.MATHEMATICAL NOTES. VOL. 94. ISSUE 5-6. P. 930 -937 8 100% 0
5 GORBACHEV, DV , (2015) AN ESTIMATE OF AN OPTIMAL ARGUMENT IN THE SHARP MULTIDIMENSIONAL JACKSON-STECHKIN L-2-INEQUALITY.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 288. ISSUE . P. S70 -S78 9 82% 0
6 PLATONOV, SS , (2009) SOME PROBLEMS IN THE THEORY OF APPROXIMATION OF FUNCTIONS ON COMPACT HOMOGENEOUS MANIFOLDS.SBORNIK MATHEMATICS. VOL. 200. ISSUE 5-6. P. 845 -885 9 90% 6
7 VEPRINTSEV, RA , (2015) APPROXIMATION OF THE MULTIDIMENSIONAL JACOBI TRANSFORM IN L (2) BY PARTIAL INTEGRALS.MATHEMATICAL NOTES. VOL. 97. ISSUE 5-6. P. 831 -845 7 100% 1
8 MONTGOMERY, HL , VORHAUER, UMA , (2007) BIASED TRIGONOMETRIC POLYNOMIALS.AMERICAN MATHEMATICAL MONTHLY. VOL. 114. ISSUE 9. P. 804-809 7 100% 2
9 GORBACHEV, DV , IVANOV, VI , VEPRINTSEV, RA , (2014) OPTIMAL ARGUMENT IN THE SHARP JACKSON INEQUALITY IN THE SPACE L (2) WITH HYPERBOLIC WEIGHT.MATHEMATICAL NOTES. VOL. 96. ISSUE 5-6. P. 904 -913 8 73% 0
10 VAKARCHUK, SB , (2014) MEAN APPROXIMATION OF FUNCTIONS ON THE REAL AXIS BY ALGEBRAIC POLYNOMIALS WITH CHEBYSHEV-HERMITE WEIGHT AND WIDTHS OF FUNCTION CLASSES.MATHEMATICAL NOTES. VOL. 95. ISSUE 5-6. P. 599 -614 7 78% 0

Classes with closest relation at Level 1


Rank Class id link
1 24647 MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS
2 36311 CONVERGENCE WITH RATES//DIRICHLET PROBLEM CONTINUOUS AND DISCRETE//FIRST AND SECOND MODULI OF CONTINUITY
3 33318 POSITIVE TRIGONOMETRIC SUMS//FEJER JACKSON INEQUALITY//RELATIVE WIDTH
4 32546 POTENTIAL TYPE OPERATORS//APPROXIMATIVE INVERSE OPERATORS//METAHARMONIC SEMIGROUP
5 33160 COMPACT CONVERGENCE TOPOLOGY//PHI ALGEBRA//LOCALLY M CONVEX ALGEBRA
6 8411 DUNKL TRANSFORM//DUNKL OPERATORS//UNCERTAINTY PRINCIPLE
7 28282 LIPSCHITZ ALGEBRAS//RECTIFIABLY CONNECTED//QUASICOMPACT
8 17152 INEQUALITIES IN THE COMPLEX DOMAIN//MARKOV TYPE INEQUALITY//POLAR DERIVATIVE
9 14984 GEOMATH GRP//SPHERICAL DESIGNS//EUCLIDEAN DESIGN
10 21484 SELF AFFINE MEASURE//SPECTRAL PAIRS//ORTHOGONAL EXPONENTIALS

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