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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 researchEditors: Rassias, Themistocles M., Gupta, Vijay (Eds.) 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 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. Number of Illustrations and Tables 16 b/w illustrations, 20 illustrations in colour Topics Calculus of Variations and Optimal Control Optimization Operator Theory Special Functions Global Analysis and Analysis on Manifolds Computational Mathematics and Numerical Analysis