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Materials --- Mechanical behavior of materials --- Mechanical properties of materials --- Mechanics --- Mechanical properties. --- Mechanical behavior

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This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight chapters that provide detailed insight into the representation of monomials of the operators Ln , direct and inverse estimates for a broad class of positive linear operators, and case studies involving finite and unbounded intervals of  real and complex functions. Strong converse inequalities of Type A in terminology of Ditzian–Ivanov for linear combinations of Bernstein and Bernstein–Kantorovich operators and various Voronovskaja-type estimates for some linear combinations are analyzed and explained. Graduate students and researchers in approximation theory will find the list of open problems in approximation of linear combinations useful. The book serves as a reference for graduate and postgraduate courses as well as a basis for future study and development.  .

Mathematics. --- Approximation theory. --- Functional analysis. --- Numerical analysis. --- Approximations and Expansions. --- Numerical Analysis. --- Functional Analysis. --- Mathematical analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Math --- Science --- Linear operators. --- Linear maps --- Maps, Linear --- Operators, Linear --- Operator theory --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems

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This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight chapters that provide detailed insight into the representation of monomials of the operators Ln , direct and inverse estimates for a broad class of positive linear operators, and case studies involving finite and unbounded intervals of  real and complex functions. Strong converse inequalities of Type A in terminology of Ditzian–Ivanov for linear combinations of Bernstein and Bernstein–Kantorovich operators and various Voronovskaja-type estimates for some linear combinations are analyzed and explained. Graduate students and researchers in approximation theory will find the list of open problems in approximation of linear combinations useful. The book serves as a reference for graduate and postgraduate courses as well as a basis for future study and development.  .

Functional analysis --- Numerical analysis --- Mathematics --- Computer science --- functies (wiskunde) --- informatica --- wiskunde --- numerieke analyse

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The study of linear positive operators is an area of mathematical studies with significant relevance to studies of computer-aided geometric design, numerical analysis, and differential equations. This book focuses on the convergence of linear positive operators in real and complex domains. The theoretical aspects of these operators have been an active area of research over the past few decades. In this volume, authors Gupta and Agarwal explore new and more efficient methods of applying this research to studies in Optimization and Analysis. The text will be of interest to upper-level students seeking an introduction to the field and to researchers developing innovative approaches.

Approximation theory. --- Differential equations, partial. --- Global analysis (Mathematics). --- Harmonic analysis. --- Mathematics. --- Operator theory. --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Theory of approximation --- Mathematical analysis. --- Analysis (Mathematics). --- Partial differential equations. --- Approximations and Expansions. --- Operator Theory. --- Analysis. --- Partial Differential Equations. --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems --- Partial differential equations --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Math --- Science --- 517.1 Mathematical analysis --- Mathematical analysis

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Approximation theory. --- Operator theory. --- Teoria d'operadors --- Teoria de l'aproximació --- Anàlisi funcional --- Funcions --- Polinomis --- Anàlisi numèrica --- Aproximació diofàntica --- Aproximació estocàstica --- Aproximants de Padé --- Interpolació (Matemàtica) --- Pertorbació (Matemàtica) --- Sistemes de Txebixov --- Teoria dels operadors --- Àlgebres d'operadors --- Equacions d'evolució no lineal --- Operadors diferencials --- Operadors integrals --- Operadors lineals --- Operadors no lineals --- Operadors pseudodiferencials --- Semigrups d'operadors --- Functional analysis --- Theory of approximation --- Functions --- Polynomials --- Chebyshev systems