Approximation Theory and Related Applications
In recent years, we have seen a growing interest in various aspects of approximation theory. This happened due to the increasing complexity of mathematical models that require computer calculations and the development of the theoretical foundations of the approximation theory. Approximation theory h...
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| Format: | Online |
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| Język: | angielski |
| Wydane: |
MDPI - Multidisciplinary Digital Publishing Institute
2023
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| Hasła przedmiotowe: | |
| Dostęp online: | ONIX_20230202_9783036562322_112 |
| Etykiety: |
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| _version_ | 1869519254065250304 |
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| collection | Directory of Open Access Books |
| description | In recent years, we have seen a growing interest in various aspects of approximation theory. This happened due to the increasing complexity of mathematical models that require computer calculations and the development of the theoretical foundations of the approximation theory. Approximation theory has broad and important applications in many areas of mathematics, including functional analysis, differential equations, dynamical systems theory, mathematical physics, control theory, probability theory and mathematical statistics, and others. Approximation theory is also of great practical importance, as approximate methods and estimation of approximation errors are used in physics, economics, chemistry, signal theory, neural networks and many other areas. This book presents the works published in the Special Issue "Approximation Theory and Related Applications". The research of the world’s leading scientists presented in this book reflect new trends in approximation theory and related topics. |
| format | Online |
| id | doab-20.500.12854ir-96711 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-967112024-04-04T14:40:34Z Approximation Theory and Related Applications Kharkevych, Yurii generalized Caputo proportional fractional derivative stability exponential stability Mittag–Leffler stability quadratic Lyapunov functions Hopfield neural networks fixed point partial metric space modular space partial modular space weakly compatible mappings C-class function Volterra integral equation statistical convergence quasi-statistical convergence asymptotic density quasi-density the matrix summability method Riemann and Lebesgue integrals statistical Riemann and Lebesgue integral deferred weighted Riemann summability Banach space Bernstein polynomials positive linear operators Korovkin-type approximation theorems Lebesgue-measurable sequences of functions Weyl-Nagy classes generalized Abel-Poisson integral asymptotic equality Kolmogorov–Nikol’skii problem uniform metric BMO degenerate Beltrami equations asymptotic homogeneity at infinity conformality by Belinskii and by Lavrent’iev hydromechanics fluid mechanics parabolic system optimal control averaging method approximate solution reverse Hardy’s inequality dynamic inequality time scale Fuzzy Modus Ponens Fuzzy Modus Tollens reasoning algorithm intuitionistic fuzzy sets interval-valued fuzzy sets confluent hypergeometric function of several variables recurrence relations branched continued fraction approximant uniform convergence symmetric polynomial on a Banach space continuous polynomial on a Banach space algebraic basis Lebesgue-Rohlin space symbolic regression Mean Square Error Pearson Correlation Coefficient oscillations in solutions dynamic system criteria waste gasification Occam’s Razor nonparametric estimation pointwise error local Hölder space wavelet set of multisets topological rings supersymmetric polynomials symmetric bases n/a thema EDItEUR::P Mathematics and Science In recent years, we have seen a growing interest in various aspects of approximation theory. This happened due to the increasing complexity of mathematical models that require computer calculations and the development of the theoretical foundations of the approximation theory. Approximation theory has broad and important applications in many areas of mathematics, including functional analysis, differential equations, dynamical systems theory, mathematical physics, control theory, probability theory and mathematical statistics, and others. Approximation theory is also of great practical importance, as approximate methods and estimation of approximation errors are used in physics, economics, chemistry, signal theory, neural networks and many other areas. This book presents the works published in the Special Issue "Approximation Theory and Related Applications". The research of the world’s leading scientists presented in this book reflect new trends in approximation theory and related topics. 2023-02-02T16:42:23Z 2023-02-02T16:42:23Z 2023 book ONIX_20230202_9783036562322_112 9783036562322 9783036562315 https://directory.doabooks.org/handle/20.500.12854/96711 eng image/jpeg Attribution 4.0 International https://mdpi.com/books/pdfview/book/6657 https://mdpi.com/books/pdfview/book/6657 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-6231-5 10.3390/books978-3-0365-6231-5 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036562322 9783036562315 228 Basel open access |
| spellingShingle | generalized Caputo proportional fractional derivative stability exponential stability Mittag–Leffler stability quadratic Lyapunov functions Hopfield neural networks fixed point partial metric space modular space partial modular space weakly compatible mappings C-class function Volterra integral equation statistical convergence quasi-statistical convergence asymptotic density quasi-density the matrix summability method Riemann and Lebesgue integrals statistical Riemann and Lebesgue integral deferred weighted Riemann summability Banach space Bernstein polynomials positive linear operators Korovkin-type approximation theorems Lebesgue-measurable sequences of functions Weyl-Nagy classes generalized Abel-Poisson integral asymptotic equality Kolmogorov–Nikol’skii problem uniform metric BMO degenerate Beltrami equations asymptotic homogeneity at infinity conformality by Belinskii and by Lavrent’iev hydromechanics fluid mechanics parabolic system optimal control averaging method approximate solution reverse Hardy’s inequality dynamic inequality time scale Fuzzy Modus Ponens Fuzzy Modus Tollens reasoning algorithm intuitionistic fuzzy sets interval-valued fuzzy sets confluent hypergeometric function of several variables recurrence relations branched continued fraction approximant uniform convergence symmetric polynomial on a Banach space continuous polynomial on a Banach space algebraic basis Lebesgue-Rohlin space symbolic regression Mean Square Error Pearson Correlation Coefficient oscillations in solutions dynamic system criteria waste gasification Occam’s Razor nonparametric estimation pointwise error local Hölder space wavelet set of multisets topological rings supersymmetric polynomials symmetric bases n/a thema EDItEUR::P Mathematics and Science Approximation Theory and Related Applications |
| title | Approximation Theory and Related Applications |
| title_full | Approximation Theory and Related Applications |
| title_fullStr | Approximation Theory and Related Applications |
| title_full_unstemmed | Approximation Theory and Related Applications |
| title_short | Approximation Theory and Related Applications |
| title_sort | approximation theory and related applications |
| topic | generalized Caputo proportional fractional derivative stability exponential stability Mittag–Leffler stability quadratic Lyapunov functions Hopfield neural networks fixed point partial metric space modular space partial modular space weakly compatible mappings C-class function Volterra integral equation statistical convergence quasi-statistical convergence asymptotic density quasi-density the matrix summability method Riemann and Lebesgue integrals statistical Riemann and Lebesgue integral deferred weighted Riemann summability Banach space Bernstein polynomials positive linear operators Korovkin-type approximation theorems Lebesgue-measurable sequences of functions Weyl-Nagy classes generalized Abel-Poisson integral asymptotic equality Kolmogorov–Nikol’skii problem uniform metric BMO degenerate Beltrami equations asymptotic homogeneity at infinity conformality by Belinskii and by Lavrent’iev hydromechanics fluid mechanics parabolic system optimal control averaging method approximate solution reverse Hardy’s inequality dynamic inequality time scale Fuzzy Modus Ponens Fuzzy Modus Tollens reasoning algorithm intuitionistic fuzzy sets interval-valued fuzzy sets confluent hypergeometric function of several variables recurrence relations branched continued fraction approximant uniform convergence symmetric polynomial on a Banach space continuous polynomial on a Banach space algebraic basis Lebesgue-Rohlin space symbolic regression Mean Square Error Pearson Correlation Coefficient oscillations in solutions dynamic system criteria waste gasification Occam’s Razor nonparametric estimation pointwise error local Hölder space wavelet set of multisets topological rings supersymmetric polynomials symmetric bases n/a thema EDItEUR::P Mathematics and Science |
| topic_facet | generalized Caputo proportional fractional derivative stability exponential stability Mittag–Leffler stability quadratic Lyapunov functions Hopfield neural networks fixed point partial metric space modular space partial modular space weakly compatible mappings C-class function Volterra integral equation statistical convergence quasi-statistical convergence asymptotic density quasi-density the matrix summability method Riemann and Lebesgue integrals statistical Riemann and Lebesgue integral deferred weighted Riemann summability Banach space Bernstein polynomials positive linear operators Korovkin-type approximation theorems Lebesgue-measurable sequences of functions Weyl-Nagy classes generalized Abel-Poisson integral asymptotic equality Kolmogorov–Nikol’skii problem uniform metric BMO degenerate Beltrami equations asymptotic homogeneity at infinity conformality by Belinskii and by Lavrent’iev hydromechanics fluid mechanics parabolic system optimal control averaging method approximate solution reverse Hardy’s inequality dynamic inequality time scale Fuzzy Modus Ponens Fuzzy Modus Tollens reasoning algorithm intuitionistic fuzzy sets interval-valued fuzzy sets confluent hypergeometric function of several variables recurrence relations branched continued fraction approximant uniform convergence symmetric polynomial on a Banach space continuous polynomial on a Banach space algebraic basis Lebesgue-Rohlin space symbolic regression Mean Square Error Pearson Correlation Coefficient oscillations in solutions dynamic system criteria waste gasification Occam’s Razor nonparametric estimation pointwise error local Hölder space wavelet set of multisets topological rings supersymmetric polynomials symmetric bases n/a thema EDItEUR::P Mathematics and Science |
| url | ONIX_20230202_9783036562322_112 |