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Inequalities (Mathematics) --- Data processing. --- Processes, Infinite --- Desigualtats (Matemàtica) --- Processos infinits --- Desigualtats isoperimètriques --- Desigualtats matricials

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Equacions --- Solucions numèriques --- Desigualtats (Matemàtica) --- Processos infinits --- Desigualtats isoperimètriques --- Desigualtats matricials --- Anàlisi numèrica --- Àlgebra --- Equacions simultànies --- Equations --- Numerical solutions. --- Algebra --- Graphic methods

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Matrius (Matemàtica) --- Desigualtats (Matemàtica) --- Processos infinits --- Desigualtats isoperimètriques --- Àlgebra de matrius --- Àlgebra matricial --- Càlcul de matrius --- Càlcul matricial --- Matrius (Àlgebra) --- Àlgebra abstracta --- Àlgebra universal --- Anàlisi multivariable --- Diagrames de Feynman --- Grups modulars --- Jocs d'estratègia (Matemàtica) --- Matrius aleatòries --- Matrius disperses --- Programació lineal --- Desigualtats matricials --- Desigualtats de matrius --- Matrix inequalities. --- Operator theory. --- Functional analysis --- Inequalities (Mathematics) --- Matrices

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This contributed volume focuses on various important areas of mathematics in which approximation methods play an essential role. It features cutting-edge research on a wide spectrum of analytic inequalities with emphasis on differential and integral inequalities in the spirit of functional analysis, operator theory, nonlinear analysis, variational calculus, featuring a plethora of applications, making this work a valuable resource. The reader will be exposed to convexity theory, polynomial inequalities, extremal problems, prediction theory, fixed point theory for operators, PDEs, fractional integral inequalities, multidimensional numerical integration, Gauss–Jacobi and Hermite–Hadamard type inequalities, Hilbert-type inequalities, and Ulam’s stability of functional equations. Contributions have been written by eminent researchers, providing up-to-date information and several results which may be useful to a wide readership including graduate students and researchers working in mathematics, physics, economics, operational research, and their interconnections.

Teoria de l'aproximació --- Desigualtats (Matemàtica) --- Processos infinits --- Desigualtats isoperimètriques --- Anàlisi funcional --- Funcions --- Polinomis --- Anàlisi numèrica --- Aproximació diofàntica --- Aproximació estocàstica --- Aproximants de Padé --- Interpolació (Matemàtica) --- Pertorbació (Matemàtica) --- Sistemes de Txebixov --- Desigualtats matricials --- Mathematical optimization. --- Approximation theory. --- Difference equations. --- Functional equations. --- Optimization. --- Approximations and Expansions. --- Difference and Functional Equations. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Equations, Functional --- Functional analysis --- Calculus of differences --- Differences, Calculus of --- Equations, Difference --- Theory of approximation --- Functions --- Polynomials --- Chebyshev systems