Titlebook: Mathematical Analysis, Approximation Theory and Their Applications; Themistocles M. Rassias,Vijay Gupta Book 2016 Springer International P

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Mathematical Analysis, Approximation Theory and Their Applications978-3-319-31281-1Series ISSN 1931-6828 Series E-ISSN 1931-6836

比目魚

,Approximation for Generalization of Baskakov–Durrmeyer Operators,of convergence for functions having derivatives of bounded variation. Next, we discuss some direct results in simultaneous approximation by these operators, e.g. point-wise convergence theorem, Voronovskaja-type theorem and an estimate of error in terms of the modulus of continuity.

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,A Tour on ,(,)-Laplacian Problems When , = ∞,ble exponent .(??) equals infinity in some part of the domain. In this case the infinity Laplace operator arises naturally and the notion of weak solution does not apply in the part where .(??) becomes infinite. Thus the notion of viscosity solution enters into the picture. We study both the Dirichlet and the Neumann case.

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Quadrature Rules with Multiple Nodes,metric degree of exactness. Such quadrature rules are characterized by the so-called .- and .-orthogonal trigonometric polynomials. Numerical method for constructing such quadrature rules is given, as well as a numerical example to illustrate the obtained theoretical results.

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1931-6828 oblems and theories in pure and applied research.Reinforces Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics