Approximation Theory and Analytic Inequalities

This book focuses on approximation methods in mathematics, with a wide range of applications in functional analysis, operator theory, nonlinear analysis, and more. It includes research on convexity theory, polynomial inequalities, extremal problems, prediction theory, and more, written by eminent researchers.

Format: Hardback
Length: 546 pages
Publication date: 22 July 2021
Publisher: Springer Nature Switzerland AG

This comprehensive volume delves into diverse and crucial branches of mathematics where approximation techniques hold paramount importance. It presents cutting-edge research on a wide array of analytic inequalities, with a strong focus on differential and integral inequalities, drawing inspiration from functional analysis, operator theory, nonlinear analysis, variational calculus, and numerous applications. This work serves as a valuable resource for readers, exposing them to convexity theory, polynomial inequalities, extremal problems, prediction theory, fixed point theory for operators, partial differential equations (PDEs), fractional integral inequalities, multidimensional numerical integration, Gauss–Jacobi and Hermite–Hadamard type inequalities, Hilbert-type inequalities, and Ulams stability of functional equations. Eminent researchers have contributed their expertise, offering up-to-date information and numerous valuable results that will appeal to a broad audience, including graduate students and researchers in mathematics, physics, economics, operational research, and their interconnected fields.

This comprehensive volume delves into diverse and crucial branches of mathematics where approximation techniques hold paramount importance. It presents cutting-edge research on a wide array of analytic inequalities, with a strong focus on differential and integral inequalities, drawing inspiration from functional analysis, operator theory, nonlinear analysis, variational calculus, and numerous applications. This work serves as a valuable resource for readers, exposing them to convexity theory, polynomial inequalities, extremal problems, prediction theory, fixed point theory for operators, partial differential equations (PDEs), fractional integral inequalities, multidimensional numerical integration, Gauss–Jacobi and Hermite–Hadamard type inequalities, Hilbert-type inequalities, and Ulams stability of functional equations. Eminent researchers have contributed their expertise, offering up-to-date information and numerous valuable results that will appeal to a broad audience, including graduate students and researchers in mathematics, physics, economics, operational research, and their interconnected fields.

Weight: 998g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030606213
Edition number: 1st ed. 2021