Class information for:
Level 2: HYERS ULAM STABILITY//HYERS ULAM RASSIAS STABILITY//GENERALIZED HYERS ULAM STABILITY

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
318 3       MATHEMATICS//STUDIA MATHEMATICA//MATH 39244
2619 2             HYERS ULAM STABILITY//HYERS ULAM RASSIAS STABILITY//GENERALIZED HYERS ULAM STABILITY 3797
3367 1                   HYERS ULAM STABILITY//HYERS ULAM RASSIAS STABILITY//GENERALIZED HYERS ULAM STABILITY 2033
9576 1                   POSITIVE POLYNOMIALS//POSITIVSTELLENSATZ//POLYNOMIAL OPTIMIZATION 1173
26761 1                   HYPERGROUPS//POLYNOMIAL HYPERGROUPS//HYPERGROUP 266
30917 1                   DE FINETTI STYLE THEOREMS//CONELIKE//PERFECT SEMIGROUP 175
32554 1                   SPECTRAL SYNTHESIS//FLETTS MEAN VALUE THEOREM//LINEAR FUNCTIONAL EQUATIONS 150

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 HYERS ULAM STABILITY authKW 3482977 12% 96% 437
2 HYERS ULAM RASSIAS STABILITY authKW 1412387 5% 97% 176
3 GENERALIZED HYERS ULAM STABILITY authKW 780807 3% 97% 97
4 QUADRATIC FUNCTIONAL EQUATION authKW 508130 2% 94% 65
5 SUPERSTABILITY authKW 438939 2% 73% 72
6 SECT MATH INFORMAT address 420754 2% 85% 60
7 FUNCTIONAL EQUATION authKW 358265 4% 28% 154
8 PEDAG EE address 323644 1% 100% 39
9 AEQUATIONES MATHEMATICAE journal 302826 4% 27% 137
10 NON ARCHIMEDEAN NORMED SPACE authKW 282493 1% 85% 40

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 94011 68% 0% 2563
2 Mathematics, Applied 91016 61% 0% 2315
3 Operations Research & Management Science 6872 10% 0% 380
4 Computer Science, Theory & Methods 1992 7% 0% 262
5 Statistics & Probability 637 4% 0% 140
6 Computer Science, Software Engineering 511 3% 0% 120
7 Automation & Control Systems 93 1% 0% 55
8 Physics, Mathematical 64 2% 0% 71
9 Mathematics, Interdisciplinary Applications 50 1% 0% 50
10 COMPUTER APPLICATIONS & CYBERNETICS 23 0% 0% 3

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SECT MATH INFORMAT 420754 2% 85% 60
2 PEDAG EE 323644 1% 100% 39
3 MATH SECT 265486 3% 29% 110
4 CENAA 199359 1% 78% 31
5 MATH EDUC 79230 4% 6% 158
6 MATH 77111 53% 0% 2023
7 HBEREICH MATH STAT 67436 1% 21% 39
8 UPORABNO MATEMAT 49791 0% 100% 6
9 FAK NARAVOSLOVJE MATEMAT 48807 0% 59% 10
10 EXCELLENCE NONLINEAR ANAL PLICAT CENAA 45178 0% 78% 7

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 AEQUATIONES MATHEMATICAE 302826 4% 27% 137
2 JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS 164797 5% 12% 172
3 PUBLICATIONES MATHEMATICAE-DEBRECEN 50919 3% 6% 110
4 JOURNAL OF INEQUALITIES AND APPLICATIONS 48532 4% 4% 143
5 SIAM JOURNAL ON OPTIMIZATION 37957 2% 5% 92
6 MATHEMATICAL PROGRAMMING 21124 2% 3% 90
7 ADVANCES IN DIFFERENCE EQUATIONS 20620 2% 3% 77
8 ABSTRACT AND APPLIED ANALYSIS 19854 3% 2% 103
9 RESULTS IN MATHEMATICS 17751 1% 5% 42
10 JOURNAL OF GLOBAL OPTIMIZATION 16765 2% 3% 68

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 HYERS ULAM STABILITY 3482977 12% 96% 437 Search HYERS+ULAM+STABILITY Search HYERS+ULAM+STABILITY
2 HYERS ULAM RASSIAS STABILITY 1412387 5% 97% 176 Search HYERS+ULAM+RASSIAS+STABILITY Search HYERS+ULAM+RASSIAS+STABILITY
3 GENERALIZED HYERS ULAM STABILITY 780807 3% 97% 97 Search GENERALIZED+HYERS+ULAM+STABILITY Search GENERALIZED+HYERS+ULAM+STABILITY
4 QUADRATIC FUNCTIONAL EQUATION 508130 2% 94% 65 Search QUADRATIC+FUNCTIONAL+EQUATION Search QUADRATIC+FUNCTIONAL+EQUATION
5 SUPERSTABILITY 438939 2% 73% 72 Search SUPERSTABILITY Search SUPERSTABILITY
6 FUNCTIONAL EQUATION 358265 4% 28% 154 Search FUNCTIONAL+EQUATION Search FUNCTIONAL+EQUATION
7 NON ARCHIMEDEAN NORMED SPACE 282493 1% 85% 40 Search NON+ARCHIMEDEAN+NORMED+SPACE Search NON+ARCHIMEDEAN+NORMED+SPACE
8 ADDITIVE FUNCTIONAL EQUATION 282151 1% 100% 34 Search ADDITIVE+FUNCTIONAL+EQUATION Search ADDITIVE+FUNCTIONAL+EQUATION
9 FIXED POINT METHOD 280362 2% 48% 70 Search FIXED+POINT+METHOD Search FIXED+POINT+METHOD
10 CUBIC FUNCTIONAL EQUATION 257256 1% 100% 31 Search CUBIC+FUNCTIONAL+EQUATION Search CUBIC+FUNCTIONAL+EQUATION

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.

Classes with closest relation at Level 2


rank cluster_id2 link
1 4073 ITERATIVE ROOT//ITERATIVE FUNCTIONAL EQUATION//ITERATION SEMIGROUP
2 2533 FIXED POINT//COMMON FIXED POINT//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES
3 1747 PRIME RING//DERIVATION//GENERALIZED DERIVATION
4 2912 FOURIER ALGEBRA//LOCALLY COMPACT GROUP//BANACH ALGEBRA
5 3916 LAGUERRE POLYA CLASS//HYPERBOLIC POLYNOMIAL//HYPERBOLIC POLYNOMIALS
6 3305 GENERALIZED MAXIMUM ENTROPY//LAPLACE TRANSFORM INVERSION//FRACTIONAL MOMENTS
7 3241 STATISTICAL CONVERGENCE//ABSOLUTE SUMMABILITY//DOUBLE SEQUENCES
8 2586 JOURNAL OF SYMBOLIC LOGIC//LOGIC//O MINIMALITY
9 2998 INFINITE DIMENSIONAL LIE GROUP//ALGEBRAIC QUANTUM FIELD THEORY//COMMUNICATIONS IN MATHEMATICAL PHYSICS
10 450 VEHICLE ROUTING//OPERATIONS RESEARCH & MANAGEMENT SCIENCE//VEHICLE ROUTING PROBLEM

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