Mathematical Analysis, Approximation Theory and Their Applications

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. Petruşel, I. A. Rus, M. A. Şerban

   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 Găvruţa, Paşc Găvruţa

    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

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.

• Approximation Theory
• Mathematical Analysis
• Special Functions
• computer aided geometric design
• linear positive operators
• q-calculus

• 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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