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Mathematical Analysis, Approximation Theory and Their Applications

  • Book
  • © 2016

Overview

Editors:
  1. Themistocles M. Rassias

    1. Department of Mathematics, National Technical Unversity of Athens, Athens, Greece

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  2. Vijay Gupta

    1. Department of Mathematics, Netaji Subhas Instit. of Tech., New Delhi, India

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    You can also search for this editor in PubMed   Google Scholar

  • Presents papers on mathematical analysis and approximation theory from distinguished scientists and experts
  • Develops the understanding of problems and theories in pure and applied research
  • Reinforces recent and significant results with detailed examples?

Part of the book series: Springer Optimization and Its Applications (SOIA, volume 111)

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Table of contents (30 chapters)

  1. Front Matter

    Pages i-xiv
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  2. A Brief History of the Favard Operator and Its Variants

    • Ulrich Abel
    Pages 1-13

  3. Bivariate Extension of Linear Positive Operators

    • P. N. Agrawal, Meenu Goyal
    Pages 15-62

  4. Positive Green’s Functions for Boundary Value Problems with Conformable Derivatives

    • Douglas R. Anderson
    Pages 63-74

  5. The Retraction-Displacement Condition in the Theory of Fixed Point Equation with a Convergent Iterative Algorithm

    • V. Berinde, A. PetruÅŸel, I. A. Rus, M. A. Åžerban
    Pages 75-106

  6. An Adaptive Finite Element Method for Solving a Free Boundary Problem with Periodic Boundary Conditions in Lubrication Theory

    • O. Chau, D. Goeleven, R. Oujja
    Pages 107-120

  7. Evolution Solutions of Equilibrium Problems: A Computational Approach

    • Monica-Gabriela Cojocaru, Scott Greenhalgh
    Pages 121-138

  8. Cantor, Banach and Baire Theorems in Generalized Metric Spaces

    • Stefan Czerwik, Krzysztof Król
    Pages 139-144

  9. A Survey of Perturbed Ostrowski Type Inequalities

    • Silvestru Sever Dragomir
    Pages 145-217

  10. Hyers–Ulam–Rassias Stability of the Generalized Wilson’s Functional Equation

    • Elqorachi Elhoucien, Youssef Manar, Sammad Khalil
    Pages 219-233

  11. Approximation Under Exponential Growth Conditions by Szász and Baskakov Type Operators in the Complex Plane

    • Sorin G. Gal
    Pages 235-266

  12. On the Asymptotic Behavior of Sequences of Positive Linear Approximation Operators

    • Ioan Gavrea, Mircea Ivan
    Pages 267-280

  13. Approximation of Functions by Additive and by Quadratic Mappings

    • Laura GăvruÅ£a, PaÅŸc GăvruÅ£a
    Pages 281-292

  14. Bernstein Type Inequalities Concerning Growth of Polynomials

    • N. K. Govil, Eze R. Nwaeze
    Pages 293-316

  15. Approximation for Generalization of Baskakov–Durrmeyer Operators

    • Vijay Gupta
    Pages 317-338

  16. A Tour on p(x)-Laplacian Problems When p = ∞

    • Yiannis Karagiorgos, Nikos Yannakakis
    Pages 339-361

  17. An Umbral Calculus Approach to Bernoulli–Padé Polynomials

    • Dae San Kim, Taekyun Kim
    Pages 363-382

  18. Hadamard Matrices: Insights into Their Growth Factor and Determinant Computations

    • Christos D. Kravvaritis
    Pages 383-415

  19. Localized Summability Kernels for Jacobi Expansions

    • H. N. Mhaskar
    Pages 417-434

  20. Quadrature Rules with Multiple Nodes

    • Gradimir V. Milovanović, Marija P. Stanić
    Pages 435-462
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Keywords

About this book

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 include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory, and solutions of differential equations. Recent and significant developments in approximation theory, special functions and q-calculus along with their applications to mathematics, engineering, and social sciences are discussed and analyzed. Each chapter enriches the understanding of current research problems and theories in pure and applied research.

Editors and Affiliations

  • Department of Mathematics, National Technical Unversity of Athens, Athens, Greece

    Themistocles M. Rassias

  • Department of Mathematics, Netaji Subhas Instit. of Tech., New Delhi, India

    Vijay Gupta

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